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311430331302132 = 223764712294662571
BaseRepresentation
bin100011011001111101000011…
…0010001010000000011110100
31111211200110010020212102121210
41012303322012101100003310
5311304433304303132012
63022205041421041420
7122412045634453620
oct10663720621200364
91454613106772553
10311430331302132
119025a953058a79
122ab1934b9b6270
13104a09a6069953
1456c94465ba180
15260103e67e23c
hex11b3e864500f4

311430331302132 has 96 divisors (see below), whose sum is σ = 832441430661120. Its totient is φ = 88770259923840.

The previous prime is 311430331302107. The next prime is 311430331302133. The reversal of 311430331302132 is 231203133034113.

It is a happy number.

It is a super-3 number, since 3×3114303313021323 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311430331302132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311430331302133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64462407 + ... + 69124977.

It is an arithmetic number, because the mean of its divisors is an integer number (8671264902720).

Almost surely, 2311430331302132 is an apocalyptic number.

It is an amenable number.

311430331302132 is an abundant number, since it is smaller than the sum of its proper divisors (521011099358988).

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

311430331302132 is a wasteful number, since it uses less digits than its factorization.

311430331302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664461 (or 4664459 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 311430331302132 its reverse (231203133034113), we get a palindrome (542633464336245).

The spelling of 311430331302132 in words is "three hundred eleven trillion, four hundred thirty billion, three hundred thirty-one million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 647 1229 1294 1941 2458 2588 3687 3882 4529 4916 7374 7764 8603 9058 13587 14748 17206 18116 25809 27174 34412 51618 54348 103236 795163 1590326 2385489 3180652 4662571 4770978 5566141 9325142 9541956 11132282 13987713 16698423 18650284 22264564 27975426 32637997 33396846 55950852 65275994 66793692 97913991 130551988 195827982 391655964 3016683437 5730299759 6033366874 9050050311 11460599518 12066733748 17190899277 18100100622 21116784059 22921199036 34381798554 36200201244 40112098313 42233568118 63350352177 68763597108 80224196626 84467136236 120336294939 126700704354 160448393252 240672589878 253401408708 481345179756 3707503944073 7415007888146 11122511832219 14830015776292 22245023664438 25952527608511 44490047328876 51905055217022 77857582825533 103810110434044 155715165651066 311430331302132