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10100030112 = 2532231524763
BaseRepresentation
bin10010110100000001…
…00011101010100000
3222001212222200122100
421122000203222200
5131141101430422
64350114410400
7505200560634
oct113200435240
928055880570
1010100030112
114313227127
121b5a590a00
13c4c6418a3
146bb560dc4
153e1a6b7ac
hex25a023aa0

10100030112 has 72 divisors (see below), whose sum is σ = 29970761184. Its totient is φ = 3220297344.

The previous prime is 10100030107. The next prime is 10100030117. The reversal of 10100030112 is 21103000101.

It is an interprime number because it is at equal distance from previous prime (10100030107) and next prime (10100030117).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 10100030094 and 10100030103.

It is not an unprimeable number, because it can be changed into a prime (10100030117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755758 + ... + 769005.

It is an arithmetic number, because the mean of its divisors is an integer number (416260572).

Almost surely, 210100030112 is an apocalyptic number.

10100030112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100030112 is an abundant number, since it is smaller than the sum of its proper divisors (19870731072).

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

10100030112 is a wasteful number, since it uses less digits than its factorization.

10100030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524802 (or 1524791 counting only the distinct ones).

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

Adding to 10100030112 its reverse (21103000101), we get a palindrome (31203030213).

The spelling of 10100030112 in words is "ten billion, one hundred million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 1524763 3049526 4574289 6099052 9148578 12198104 13722867 18297156 24396208 27445734 35069549 36594312 48792416 54891468 70139098 73188624 105208647 109782936 140278196 146377248 210417294 219565872 280556392 315625941 420834588 439131744 561112784 631251882 841669176 1122225568 1262503764 1683338352 2525007528 3366676704 5050015056 10100030112