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10112111988 = 22311372398663
BaseRepresentation
bin10010110101011101…
…01001010101110100
3222002201201111212020
421122232221111310
5131202200040423
64351225353140
7505405351026
oct113256512564
928081644766
1010112111988
11431a029450
121b626387b0
13c51cb1c24
146bcdc8016
153e2b564e3
hex25aba9574

10112111988 has 96 divisors (see below), whose sum is σ = 26549268480. Its totient is φ = 2968640640.

The previous prime is 10112111981. The next prime is 10112112013. The reversal of 10112111988 is 88911121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112111981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162945 + ... + 1171607.

It is an arithmetic number, because the mean of its divisors is an integer number (276554880).

Almost surely, 210112111988 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 10112111988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274634240).

10112111988 is an abundant number, since it is smaller than the sum of its proper divisors (16437156492).

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

10112111988 is a wasteful number, since it uses less digits than its factorization.

10112111988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8957 (or 8955 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 33.

The spelling of 10112111988 in words is "ten billion, one hundred twelve million, one hundred eleven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 239 407 444 478 717 814 956 1221 1434 1628 2442 2629 2868 4884 5258 7887 8663 8843 10516 15774 17326 17686 25989 26529 31548 34652 35372 51978 53058 95293 97273 103956 106116 190586 194546 285879 291819 320531 381172 389092 571758 583638 641062 961593 1143516 1167276 1282124 1923186 2070457 3525841 3846372 4140914 6211371 7051682 8281828 10577523 12422742 14103364 21155046 22775027 24845484 42310092 45550054 68325081 76606909 91100108 136650162 153213818 229820727 273300324 306427636 459641454 842675999 919282908 1685351998 2528027997 3370703996 5056055994 10112111988