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10100003112 = 2332314525091
BaseRepresentation
bin10010110100000000…
…11101000100101000
3222001212221022121100
421122000131010220
5131141100044422
64350114041400
7505200416133
oct113200350450
928055838540
1010100003112
114313208911
121b5a579260
13c4c632504
146bb55521a
153e1a637ac
hex25a01d128

10100003112 has 48 divisors (see below), whose sum is σ = 28236574080. Its totient is φ = 3258064800.

The previous prime is 10100003107. The next prime is 10100003129. The reversal of 10100003112 is 21130000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100003094 and 10100003103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2260314 + ... + 2264777.

It is an arithmetic number, because the mean of its divisors is an integer number (588261960).

Almost surely, 210100003112 is an apocalyptic number.

10100003112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100003112 is an abundant number, since it is smaller than the sum of its proper divisors (18136570968).

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

10100003112 is a wasteful number, since it uses less digits than its factorization.

10100003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525134 (or 4525127 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100003112 its reverse (21130000101), we get a palindrome (31230003213).

The spelling of 10100003112 in words is "ten billion, one hundred million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4525091 9050182 13575273 18100364 27150546 36200728 40725819 54301092 81451638 108602184 140277821 162903276 280555642 325806552 420833463 561111284 841666926 1122222568 1262500389 1683333852 2525000778 3366667704 5050001556 10100003112