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31112412311310 = 23511281457734171
BaseRepresentation
bin1110001001011111011000…
…10010001010111100001110
311002011022120111201021100120
413010233230102022330032
513034221210022430220
6150100502255405410
76360540403126251
oct704575422127416
9132138514637316
1031112412311310
119a05777718270
1235a5963b23866
131448b70911215
14797bc511d098
1538e48a2e1a40
hex1c4bec48af0e

31112412311310 has 128 divisors (see below), whose sum is σ = 81926829070848. Its totient is φ = 7499106048000.

The previous prime is 31112412311303. The next prime is 31112412311327. The reversal of 31112412311310 is 1311321421113.

It is a super-2 number, since 2×311124123113102 (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 42010525 + ... + 42744695.

It is an arithmetic number, because the mean of its divisors is an integer number (640053352116).

Almost surely, 231112412311310 is an apocalyptic number.

31112412311310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112412311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40963414535424).

31112412311310 is an abundant number, since it is smaller than the sum of its proper divisors (50814416759538).

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

31112412311310 is a wasteful number, since it uses less digits than its factorization.

31112412311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734930.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 31112412311310 its reverse (1311321421113), we get a palindrome (32423733732423).

The spelling of 31112412311310 in words is "thirty-one trillion, one hundred twelve billion, four hundred twelve million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 281 330 457 562 843 914 1371 1405 1686 2285 2742 2810 3091 4215 4570 5027 6182 6855 8430 9273 10054 13710 15081 15455 18546 25135 30162 30910 46365 50270 75405 92730 128417 150810 256834 385251 642085 734171 770502 1284170 1412587 1468342 1926255 2202513 2825174 3670855 3852510 4237761 4405026 7062935 7341710 8075881 8475522 11012565 14125870 16151762 21188805 22025130 24227643 40379405 42377610 48455286 80758810 121138215 206302051 242276430 335516147 412604102 618906153 671032294 1006548441 1031510255 1237812306 1677580735 2013096882 2063020510 2269322561 3094530765 3355161470 3690677617 4538645122 5032742205 6189061530 6807967683 7381355234 10065484410 11072032851 11346612805 13615935366 18453388085 22144065702 22693225610 34039838415 36906776170 55360164255 68079676830 94280037307 110720328510 188560074614 282840111921 471400186535 565680223842 942800373070 1037080410377 1414200559605 2074160820754 2828401119210 3111241231131 5185402051885 6222482462262 10370804103770 15556206155655 31112412311310