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312312331002 = 23785316575261
BaseRepresentation
bin1001000101101110100…
…00111111101011111010
31002212010120202020200110
410202313100333223322
520104103424043002
6355250241045150
731364251004160
oct4426720775372
91085116666613
10312312331002
111104a6194871
12506409267b6
13235b28baa79
141118a423230
1581cd576e6c
hex48b743fafa

312312331002 has 64 divisors (see below), whose sum is σ = 715260881664. Its totient is φ = 89056765440.

The previous prime is 312312330989. The next prime is 312312331003. The reversal of 312312331002 is 200133213213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 312312331002.

It is not an unprimeable number, because it can be changed into a prime (312312331003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59361052 + ... + 59366312.

It is an arithmetic number, because the mean of its divisors is an integer number (11175951276).

Almost surely, 2312312331002 is an apocalyptic number.

312312331002 is an abundant number, since it is smaller than the sum of its proper divisors (402948550662).

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

312312331002 is a wasteful number, since it uses less digits than its factorization.

312312331002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312312331002 its reverse (200133213213), we get a palindrome (512445544215).

The spelling of 312312331002 in words is "three hundred twelve billion, three hundred twelve million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 853 1657 1706 2559 3314 4971 5118 5261 5971 9942 10522 11599 11942 15783 17913 23198 31566 34797 35826 36827 69594 73654 110481 220962 1413421 2826842 4240263 4487633 8480526 8717477 8975266 9893947 13462899 17434954 19787894 26152431 26925798 29681841 31413431 52304862 59363682 61022339 62826862 94240293 122044678 183067017 188480586 366134034 7436007881 14872015762 22308023643 44616047286 52052055167 104104110334 156156165501 312312331002