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30516000561112 = 231117199373274811
BaseRepresentation
bin1101111000001000011110…
…10111111001011111011000
311000001022010112210012020011
412330010033113321133120
512444433232120423422
6144522505050011304
76266464640654023
oct674041727713730
9130038115705204
1030516000561112
1197a5843847980
12350a256a16b34
1314048534ab761
14776da764a1ba
1537dbd04b4077
hex1bc10f5f97d8

30516000561112 has 128 divisors (see below), whose sum is σ = 66601237824000. Its totient is φ = 12954499430400.

The previous prime is 30516000561107. The next prime is 30516000561119. The reversal of 30516000561112 is 21116500061503.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30516000561119) 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, 110906187 + ... + 111180997.

It is an arithmetic number, because the mean of its divisors is an integer number (520322170500).

Almost surely, 230516000561112 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 30516000561112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300618912000).

30516000561112 is an abundant number, since it is smaller than the sum of its proper divisors (36085237262888).

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

30516000561112 is a wasteful number, since it uses less digits than its factorization.

30516000561112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275417 (or 275413 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 30516000561112 in words is "thirty trillion, five hundred sixteen billion, five hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 199 373 374 398 746 748 796 1492 1496 1592 2189 2984 3383 4103 4378 6341 6766 8206 8756 12682 13532 16412 17512 25364 27064 32824 37213 50728 69751 74227 74426 139502 148454 148852 274811 279004 296908 297704 549622 558008 593816 816497 1099244 1261859 1632994 2198488 2523718 3022921 3265988 4671787 5047436 6045842 6531976 9343574 10094872 12091684 13880449 18687148 24183368 27760898 37374296 51389657 54687389 55521796 102504503 102779314 109374778 111043592 205009006 205558628 218749556 410018012 411117256 437499112 601561279 820036024 929685613 1127549533 1203122558 1742576551 1859371226 2255099066 2406245116 3485153102 3718742452 4510198132 4812490232 6970306204 7437484904 9020396264 10226541743 13940612408 19168342061 20398396097 20453083486 38336684122 40796792194 40906166972 76673368244 81593584388 81812333944 153346736488 163187168776 224382357067 346772733649 448764714134 693545467298 897529428268 1387090934596 1795058856536 2774181869192 3814500070139 7629000140278 15258000280556 30516000561112