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311213412100140 = 2235113911331205563
BaseRepresentation
bin100011011000011000000010…
…0111000001010100000101100
31111210220201012210010020020120
41012300300010320022200230
5311242410031444201030
63021521245013444540
7122360266320614244
oct10660600470124054
91453821183106216
10311213412100140
11901869598a4a10
122aaa32b2040750
13104863b6706a64
1456bcb4944cb24
1525ea595b93010
hex11b0c04e0a82c

311213412100140 has 96 divisors (see below), whose sum is σ = 950618732265216. Its totient is φ = 75445420189440.

The previous prime is 311213412100109. The next prime is 311213412100147. The reversal of 311213412100140 is 41001214312113.

It is a self number, because there is not a number n which added to its sum of digits gives 311213412100140.

It is not an unprimeable number, because it can be changed into a prime (311213412100147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257544999 + ... + 258750561.

It is an arithmetic number, because the mean of its divisors is an integer number (9902278461096).

Almost surely, 2311213412100140 is an apocalyptic number.

311213412100140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311213412100140 is an abundant number, since it is smaller than the sum of its proper divisors (639405320165076).

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

311213412100140 is a wasteful number, since it uses less digits than its factorization.

311213412100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596719 (or 1596717 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 311213412100140 its reverse (41001214312113), we get a palindrome (352214626412253).

The spelling of 311213412100140 in words is "three hundred eleven trillion, two hundred thirteen billion, four hundred twelve million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 391133 782266 1173399 1205563 1564532 1955665 2346798 2411126 3616689 3911330 4302463 4693596 4822252 5866995 6027815 7233378 7822660 8604926 11733990 12055630 12907389 13261193 14466756 17209852 18083445 21512315 23467980 24111260 25814778 26522386 36166890 39783579 43024630 51629556 53044772 64536945 66305965 72333780 79567158 86049260 129073890 132611930 159134316 198917895 258147780 265223860 397835790 795671580 471535472879 943070945758 1414606418637 1886141891516 2357677364395 2829212837274 4715354728790 5186890201669 5658425674548 7073032093185 9430709457580 10373780403338 14146064186370 15560670605007 20747560806676 25934451008345 28292128372740 31121341210014 51868902016690 62242682420028 77803353025035 103737804033380 155606706050070 311213412100140