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312010232112 = 24323767874037
BaseRepresentation
bin1001000101001010100…
…00100101000100110000
31002211100112022000220200
410202211100211010300
520102444104411422
6355200250035200
731353622133325
oct4424520450460
91084315260820
10312010232112
11110360707467
1250577718b00
1323565136827
141115c264b4c
1581b1ca12ac
hex48a5425130

312010232112 has 120 divisors (see below), whose sum is σ = 910181219376. Its totient is φ = 99682057728.

The previous prime is 312010232077. The next prime is 312010232123. The reversal of 312010232112 is 211232010213.

312010232112 is a `hidden beast` number, since 312 + 0 + 10 + 232 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80043 + ... + 793994.

Almost surely, 2312010232112 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 312010232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455090609688).

312010232112 is an abundant number, since it is smaller than the sum of its proper divisors (598170987264).

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

312010232112 is a wasteful number, since it uses less digits than its factorization.

312010232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874155 (or 874146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312010232112 its reverse (211232010213), we get a palindrome (523242242325).

The spelling of 312010232112 in words is "three hundred twelve billion, ten million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 67 72 74 111 134 144 148 201 222 268 296 333 402 444 536 592 603 666 804 888 1072 1206 1332 1608 1776 2412 2479 2664 3216 4824 4958 5328 7437 9648 9916 14874 19832 22311 29748 39664 44622 59496 89244 118992 178488 356976 874037 1748074 2622111 3496148 5244222 6992296 7866333 10488444 13984592 15732666 20976888 31465332 32339369 41953776 58560479 62930664 64678738 97018107 117120958 125861328 129357476 175681437 194036214 234241916 258714952 291054321 351362874 388072428 468483832 517429904 527044311 582108642 702725748 776144856 936967664 1054088622 1164217284 1405451496 1552289712 2108177244 2166737723 2328434568 2810902992 4216354488 4333475446 4656869136 6500213169 8432708976 8666950892 13000426338 17333901784 19500639507 26000852676 34667803568 39001279014 52001705352 78002558028 104003410704 156005116056 312010232112