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100388219281 = 72452632
BaseRepresentation
bin101110101111110011…
…0101010100110010001
3100121010020010220222121
41131133212222212101
53121043341004111
6114041231534241
710152466533100
oct1353746524621
9317106126877
10100388219281
1139635594a89
121755798a381
13960b087aac
144c0483a037
152928372871
hex175f9aa991

100388219281 has 9 divisors (see below), whose sum is σ = 116780712681. Its totient is φ = 86045144052.

The previous prime is 100388219279. The next prime is 100388219297. The reversal of 100388219281 is 182912883001.

It is a happy number.

The square root of 100388219281 is 316841.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 100388219281 - 21 = 100388219279 is a prime.

It is a super-2 number, since 2×1003882192812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100388219081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2195256 + ... + 2240518.

Almost surely, 2100388219281 is an apocalyptic number.

100388219281 is the 316841-st square number.

100388219281 is the 158421-st centered octagonal number.

It is an amenable number.

100388219281 is a deficient number, since it is larger than the sum of its proper divisors (16392493400).

100388219281 is an frugal number, since it uses more digits than its factorization.

100388219281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90540 (or 45270 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 100388219281 in words is "one hundred billion, three hundred eighty-eight million, two hundred nineteen thousand, two hundred eighty-one".

Divisors: 1 7 49 45263 316841 2217887 2048739169 14341174183 100388219281