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20122100020 = 22511837691433
BaseRepresentation
bin10010101111010111…
…101110000100110100
31220221100021120222201
4102233113232010310
5312202224200040
613124410234244
71311434012431
oct225727560464
956840246881
1020122100020
118596445630
123a96a25984
131b88a88679
14d8c5cab88
157cb838a9a
hex4af5ee134

20122100020 has 96 divisors (see below), whose sum is σ = 46746564480. Its totient is φ = 7214530560.

The previous prime is 20122099981. The next prime is 20122100029. The reversal of 20122100020 is 2000122102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14041224 + ... + 14042656.

It is an arithmetic number, because the mean of its divisors is an integer number (486943380).

Almost surely, 220122100020 is an apocalyptic number.

20122100020 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 20122100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373282240).

20122100020 is an abundant number, since it is smaller than the sum of its proper divisors (26624464460).

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

20122100020 is a wasteful number, since it uses less digits than its factorization.

20122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20122100020 its reverse (2000122102), we get a palindrome (22122222122).

The spelling of 20122100020 in words is "twenty billion, one hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 769 830 913 1433 1538 1660 1826 2866 3076 3652 3845 4565 5732 7165 7690 8459 9130 14330 15380 15763 16918 18260 28660 31526 33836 42295 63052 63827 78815 84590 118939 127654 157630 169180 237878 255308 315260 319135 475756 594695 638270 702097 1101977 1189390 1276540 1308329 1404194 2203954 2378780 2616658 2808388 3510485 4407908 5233316 5509885 6541645 7020970 11019770 12121747 13083290 14041940 22039540 24243494 26166580 48486988 60608735 91464091 121217470 182928182 242434940 365856364 457320455 914640910 1006105001 1829281820 2012210002 4024420004 5030525005 10061050010 20122100020