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312232002012 = 223272634711087
BaseRepresentation
bin1001000101100100111…
…10100100000111011100
31002211220222121010000200
410202302132210013130
520103422343031022
6355234251223500
731362254140650
oct4426236440734
91084828533020
10312232002012
11110464909477
1250619a47b90
132359c073a18
141117d8b2a60
1581c64aabac
hex48b27a41dc

312232002012 has 72 divisors (see below), whose sum is σ = 905433424896. Its totient is φ = 88869926304.

The previous prime is 312232001969. The next prime is 312232002013. The reversal of 312232002012 is 210200232213.

312232002012 is a `hidden beast` number, since 312 + 2 + 320 + 0 + 20 + 12 = 666.

312232002012 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232002013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289268 + ... + 2421819.

Almost surely, 2312232002012 is an apocalyptic number.

It is an amenable number.

312232002012 is an abundant number, since it is smaller than the sum of its proper divisors (593201422884).

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

312232002012 is a wasteful number, since it uses less digits than its factorization.

312232002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711367 (or 4711362 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312232002012 its reverse (210200232213), we get a palindrome (522432234225).

The spelling of 312232002012 in words is "three hundred twelve billion, two hundred thirty-two million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1578 1841 2367 3156 3682 4734 5523 7364 9468 11046 16569 22092 33138 66276 4711087 9422174 14133261 18844348 28266522 32977609 42399783 56533044 65955218 84799566 98932827 131910436 169599132 197865654 296798481 395731308 593596962 1187193924 1239015881 2478031762 3717047643 4956063524 7434095286 8673111167 11151142929 14868190572 17346222334 22302285858 26019333501 34692444668 44604571716 52038667002 78058000503 104077334004 156116001006 312232002012