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10000022112 = 2532151229949
BaseRepresentation
bin10010101000000110…
…00011101001100000
3221210220210202110100
421110003003221200
5130440001201422
64332143102400
7502544533263
oct112403035140
927726722410
1010000022112
11427182a693
121b30ba1a00
13c349c7562
146ac16acda
153d7db47ac
hex2540c3a60

10000022112 has 72 divisors (see below), whose sum is σ = 28626015600. Its totient is φ = 3311251200.

The previous prime is 10000022101. The next prime is 10000022141. The reversal of 10000022112 is 21122000001.

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 = 10000022094 and 10000022103.

It is a congruent number.

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, 71487 + ... + 158462.

It is an arithmetic number, because the mean of its divisors is an integer number (397583550).

Almost surely, 210000022112 is an apocalyptic number.

10000022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000022112 is an abundant number, since it is smaller than the sum of its proper divisors (18625993488).

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

10000022112 is a wasteful number, since it uses less digits than its factorization.

10000022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230116 (or 230105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000022112 its reverse (21122000001), we get a palindrome (31122022113).

The spelling of 10000022112 in words is "ten billion, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 229949 459898 689847 919796 1379694 1839592 2069541 2759388 3679184 4139082 5518776 7358368 8278164 11037552 16556328 22075104 33112656 34722299 66225312 69444598 104166897 138889196 208333794 277778392 312500691 416667588 555556784 625001382 833335176 1111113568 1250002764 1666670352 2500005528 3333340704 5000011056 10000022112