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20022310001100 = 223521121792784473
BaseRepresentation
bin1001000110101110011101…
…01011001101100111001100
32121220010002012122222200210
410203113032223031213030
510111021142330013400
6110330042222522420
74134364335632601
oct443271653154714
977803065588623
1020022310001100
11641a461019080
1222b455b136410
13b23132425a14
144d31292566a8
1524ac5d7eb950
hex1235ceacd9cc

20022310001100 has 144 divisors (see below), whose sum is σ = 63226716981120. Its totient is φ = 4851664012800.

The previous prime is 20022310001053. The next prime is 20022310001101. The reversal of 20022310001100 is 110001322002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20022310001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5798464 + ... + 8582936.

It is an arithmetic number, because the mean of its divisors is an integer number (439074423480).

Almost surely, 220022310001100 is an apocalyptic number.

20022310001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022310001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31613358490560).

20022310001100 is an abundant number, since it is smaller than the sum of its proper divisors (43204406980020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20022310001100 is a wasteful number, since it uses less digits than its factorization.

20022310001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786680 (or 2786673 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20022310001100 its reverse (110001322002), we get a palindrome (20132311323102).

The spelling of 20022310001100 in words is "twenty trillion, twenty-two billion, three hundred ten million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2179 3300 4358 6537 8716 10895 13074 21790 23969 26148 32685 43580 47938 54475 65370 71907 95876 108950 119845 130740 143814 163425 217900 239690 287628 326850 359535 479380 599225 653700 719070 1198450 1438140 1797675 2396900 2784473 3595350 5568946 7190700 8353419 11137892 13922365 16706838 27844730 30629203 33413676 41767095 55689460 61258406 69611825 83534190 91887609 122516812 139223650 153146015 167068380 183775218 208835475 278447300 306292030 367550436 417670950 459438045 612584060 765730075 835341900 918876090 1531460150 1837752180 2297190225 3062920300 4594380450 6067366667 9188760900 12134733334 18202100001 24269466668 30336833335 36404200002 60673666670 66741033337 72808400004 91010500005 121347333340 133482066674 151684166675 182021000010 200223100011 266964133348 303368333350 333705166685 364042000020 400446200022 455052500025 606736666700 667410333370 800892400044 910105000050 1001115500055 1334820666740 1668525833425 1820210000100 2002231000110 3337051666850 4004462000220 5005577500275 6674103333700 10011155000550 20022310001100