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301230313130112 = 2731961676836877
BaseRepresentation
bin100010001111101111010010…
…1110011110100100010000000
31110111120100002110011020222020
41010133132211303310202000
5303440324140130130422
62544355143452241440
7120310112654515542
oct10437364563644200
91414510073136866
10301230313130112
1187a88070781963
1229950552470280
13cc10b86bcbbb2
1454558a6bd9692
1524c5a598c795c
hex111f7a5cf4880

301230313130112 has 128 divisors (see below), whose sum is σ = 856063283294400. Its totient is φ = 93565929738240.

The previous prime is 301230313130059. The next prime is 301230313130161. The reversal of 301230313130112 is 211031313032103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3012303131301122 (a number of 30 digits) contains 22 as substring.

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

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, 337973383 + ... + 338863494.

Almost surely, 2301230313130112 is an apocalyptic number.

301230313130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

301230313130112 is an abundant number, since it is smaller than the sum of its proper divisors (554832970164288).

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

301230313130112 is a wasteful number, since it uses less digits than its factorization.

301230313130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676836974 (or 676836962 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 301230313130112 its reverse (211031313032103), we get a palindrome (512261626162215).

The spelling of 301230313130112 in words is "three hundred one trillion, two hundred thirty billion, three hundred thirteen million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 304 366 384 456 488 608 732 912 976 1159 1216 1464 1824 1952 2318 2432 2928 3477 3648 3904 4636 5856 6954 7296 7808 9272 11712 13908 18544 23424 27816 37088 55632 74176 111264 148352 222528 445056 676836877 1353673754 2030510631 2707347508 4061021262 5414695016 8122042524 10829390032 12859900663 16244085048 21658780064 25719801326 32488170096 38579701989 41287049497 43317560128 51439602652 64976340192 77159403978 82574098994 86635120256 102879205304 123861148491 129952680384 154318807956 165148197988 205758410608 247722296982 259905360768 308637615912 330296395976 411516821216 495444593964 617275231824 660592791952 784453940443 823033642432 990889187928 1234550463648 1321185583904 1568907880886 1646067284864 1981778375856 2353361821329 2469100927296 2642371167808 3137815761772 3963556751712 4706723642658 4938201854592 5284742335616 6275631523544 7927113503424 9413447285316 12551263047088 15854227006848 18826894570632 25102526094176 37653789141264 50205052188352 75307578282528 100410104376704 150615156565056 301230313130112