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30102032313312 = 2531738749476009
BaseRepresentation
bin1101101100000101011001…
…11100010110101111100000
310221120201121101111022111020
412312002230330112233200
512421142430233011222
6144004403245445440
76224541264631341
oct666025474265740
9127521541438436
1030102032313312
119656222534233
123461b85870880
1313a47bcccac3b
14760d362b80c8
1537305265a65c
hex1b60acf16be0

30102032313312 has 96 divisors (see below), whose sum is σ = 83668277700000. Its totient is φ = 9443511287808.

The previous prime is 30102032313293. The next prime is 30102032313349. The reversal of 30102032313312 is 21331323020103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×301020323133123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 63000364 + ... + 63476372.

It is an arithmetic number, because the mean of its divisors is an integer number (871544559375).

Almost surely, 230102032313312 is an apocalyptic number.

30102032313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30102032313312 is an abundant number, since it is smaller than the sum of its proper divisors (53566245386688).

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

30102032313312 is a wasteful number, since it uses less digits than its factorization.

30102032313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514788 (or 514780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 30102032313312 its reverse (21331323020103), we get a palindrome (51433355333415).

The spelling of 30102032313312 in words is "thirty trillion, one hundred two billion, thirty-two million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 38749 77498 116247 154996 232494 309992 464988 476009 619984 658733 929976 952018 1239968 1317466 1428027 1859952 1904036 1976199 2634932 2856054 3719904 3808072 3952398 5269864 5712108 7616144 7904796 8092153 10539728 11424216 15232288 15809592 16184306 21079456 22848432 24276459 31619184 32368612 45696864 48552918 63238368 64737224 97105836 129474448 194211672 258948896 388423344 776846688 18444872741 36889745482 55334618223 73779490964 110669236446 147558981928 221338472892 295117963856 313562836597 442676945784 590235927712 627125673194 885353891568 940688509791 1254251346388 1770707783136 1881377019582 2508502692776 3762754039164 5017005385552 7525508078328 10034010771104 15051016156656 30102032313312