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100222100020 = 225721011012549
BaseRepresentation
bin101110101010110110…
…0111110001000110100
3100120200122120012012101
41131111230332020310
53120223324200040
6114012535231444
710145411536300
oct1352554761064
9316618505171
10100222100020
113955a843139
1217510218584
1395b2833c83
144bca756d00
1529189ac09a
hex1755b3e234

100222100020 has 72 divisors (see below), whose sum is σ = 247252559400. Its totient is φ = 34021612800.

The previous prime is 100222099993. The next prime is 100222100063. The reversal of 100222100020 is 20001222001.

It can be written as a sum of positive squares in 4 ways, for example, as 5263212304 + 94958887716 = 72548^2 + 308154^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407295 + ... + 605254.

It is an arithmetic number, because the mean of its divisors is an integer number (3434063325).

Almost surely, 2100222100020 is an apocalyptic number.

100222100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222100020 is an abundant number, since it is smaller than the sum of its proper divisors (147030459380).

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

100222100020 is a wasteful number, since it uses less digits than its factorization.

100222100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012673 (or 1012664 counting only the distinct ones).

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

Adding to 100222100020 its reverse (20001222001), we get a palindrome (120223322021).

The spelling of 100222100020 in words is "one hundred billion, two hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 14140 19796 24745 49490 98980 1012549 2025098 4050196 5062745 7087843 10125490 14175686 20250980 28351372 35439215 49614901 70878430 99229802 102267449 141756860 198459604 204534898 248074505 409069796 496149010 511337245 715872143 992298020 1022674490 1431744286 2045348980 2863488572 3579360715 5011105001 7158721430 10022210002 14317442860 20044420004 25055525005 50111050010 100222100020