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30113112324312 = 23331940031833001
BaseRepresentation
bin1101101100011010000010…
…10111001111100011011000
310221121210012120111012012000
412312031001113033203120
512421333123223334222
6144013434532521000
76225412665314403
oct666150127174330
9127553176435160
1030113112324312
11965a998950516
123464158480160
1313a586768a974
147616a7a54d3a
153734a02519ac
hex1b63415cf8d8

30113112324312 has 128 divisors (see below), whose sum is σ = 88072080096000. Its totient is φ = 9507023136000.

The previous prime is 30113112324289. The next prime is 30113112324367. The reversal of 30113112324312 is 21342321131103.

30113112324312 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 311 + 2 + 32 + 4 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15511812 + ... + 17344812.

It is an arithmetic number, because the mean of its divisors is an integer number (688063125750).

Almost surely, 230113112324312 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 30113112324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44036040048000).

30113112324312 is an abundant number, since it is smaller than the sum of its proper divisors (57958967771688).

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

30113112324312 is a wasteful number, since it uses less digits than its factorization.

30113112324312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837038 (or 1837028 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 30113112324312 its reverse (21342321131103), we get a palindrome (51455433455415).

The spelling of 30113112324312 in words is "thirty trillion, one hundred thirteen billion, one hundred twelve million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4003 4104 8006 12009 16012 24018 32024 36027 48036 72054 76057 96072 108081 144108 152114 216162 228171 288216 304228 432324 456342 608456 684513 864648 912684 1369026 1825368 1833001 2053539 2738052 3666002 4107078 5476104 5499003 7332004 8214156 10998006 14664008 16428312 16497009 21996012 32994018 34827019 43992024 49491027 65988036 69654038 98982054 104481057 131976072 139308076 197964108 208962114 278616152 313443171 395928216 417924228 626886342 835848456 940329513 1253772684 1880659026 2507545368 3761318052 7337503003 7522636104 14675006006 22012509009 29350012012 44025018018 58700024024 66037527027 88050036036 132075054054 139412557057 176100072072 198112581081 264150108108 278825114114 396225162162 418237671171 528300216216 557650228228 792450324324 836475342342 1115300456456 1254713013513 1584900648648 1672950684684 2509426027026 3345901369368 3764139040539 5018852054052 7528278081078 10037704108104 15056556162156 30113112324312