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10111110984 = 23331319189517
BaseRepresentation
bin10010110101010101…
…10100111101001000
3222002122211122202000
421122222310331020
5131201421022414
64351152111000
7505364011452
oct113252647510
928078748660
1010111110984
114319505377
121b62235460
13c51a21410
146bcc072d2
153e2a09b09
hex25aab4f48

10111110984 has 128 divisors (see below), whose sum is σ = 31839024000. Its totient is φ = 2947352832.

The previous prime is 10111110979. The next prime is 10111111009. The reversal of 10111110984 is 48901111101.

It is a happy number.

10111110984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41407 + ... + 148110.

It is an arithmetic number, because the mean of its divisors is an integer number (248742375).

Almost surely, 210111110984 is an apocalyptic number.

It is an amenable number.

10111110984 is an abundant number, since it is smaller than the sum of its proper divisors (21727913016).

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

10111110984 is a wasteful number, since it uses less digits than its factorization.

10111110984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189564 (or 189554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 10111110984 in words is "ten billion, one hundred eleven million, one hundred ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 189517 379034 568551 758068 1137102 1516136 1705653 2274204 2463721 3411306 3600823 4548408 4927442 5116959 6822612 7201646 7391163 9854884 10233918 10802469 13645224 14403292 14782326 19709768 20467836 21604938 22173489 28806584 29564652 32407407 40935672 43209876 44346978 46810699 59129304 64814814 66520467 86419752 88693956 93621398 97222221 129629628 133040934 140432097 177387912 187242796 194444442 259259256 266081868 280864194 374485592 388888884 421296291 532163736 561728388 777777768 842592582 1123456776 1263888873 1685185164 2527777746 3370370328 5055555492 10111110984