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10020212112 = 243794316131
BaseRepresentation
bin10010101010100000…
…00100110110010000
3221212022210111221010
421111100010312100
5131010133241422
64334143530520
7503211253251
oct112520046620
927768714833
1010020212112
11428216a739
121b378b9a40
13c38c462c1
146b0b04b28
153d9a51b0c
hex255404d90

10020212112 has 80 divisors (see below), whose sum is σ = 26278318080. Its totient is φ = 3289603200.

The previous prime is 10020212093. The next prime is 10020212143. The reversal of 10020212112 is 21121202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631287 + ... + 1637417.

It is an arithmetic number, because the mean of its divisors is an integer number (328478976).

Almost surely, 210020212112 is an apocalyptic number.

10020212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139159040).

10020212112 is an abundant number, since it is smaller than the sum of its proper divisors (16258105968).

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

10020212112 is a wasteful number, since it uses less digits than its factorization.

10020212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020212112 its reverse (21121202001), we get a palindrome (31141414113).

The spelling of 10020212112 in words is "ten billion, twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 431 474 632 862 948 1264 1293 1724 1896 2586 3448 3792 5172 6131 6896 10344 12262 18393 20688 24524 34049 36786 49048 68098 73572 98096 102147 136196 147144 204294 272392 294288 408588 484349 544784 817176 968698 1453047 1634352 1937396 2642461 2906094 3874792 5284922 5812188 7749584 7927383 10569844 11624376 15854766 21139688 23248752 31709532 42279376 63419064 126838128 208754419 417508838 626263257 835017676 1252526514 1670035352 2505053028 3340070704 5010106056 10020212112