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10100910092 = 2271323252457
BaseRepresentation
bin10010110100000111…
…11010100000001100
3222001221122101202012
421122003322200030
5131141313110332
64350145320352
7505211214320
oct113203724014
928057571665
1010100910092
114313778289
121b5a9360b8
13c4c88c2a0
146bb70d980
153e1b923b2
hex25a0fa80c

10100910092 has 72 divisors (see below), whose sum is σ = 22743270816. Its totient is φ = 3822153984.

The previous prime is 10100910067. The next prime is 10100910109. The reversal of 10100910092 is 29001900101.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 166328 + ... + 218784.

Almost surely, 210100910092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100910092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371635408).

10100910092 is an abundant number, since it is smaller than the sum of its proper divisors (12642360724).

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

10100910092 is a wasteful number, since it uses less digits than its factorization.

10100910092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52527 (or 52502 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 10100910092 in words is "ten billion, one hundred million, nine hundred ten thousand, ninety-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 529 598 644 1058 1196 2093 2116 3703 4186 6877 7406 8372 13754 14812 27508 48139 52457 96278 104914 192556 209828 367199 681941 734398 1206511 1363882 1468796 2413022 2727764 4773587 4826044 8445577 9547174 15684643 16891154 19094348 27749753 31369286 33782308 55499506 62738572 109792501 110999012 194248271 219585002 360746789 388496542 439170004 721493578 776993084 1442987156 2525227523 5050455046 10100910092