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312213024000423 = 367134706326957
BaseRepresentation
bin100011011111101001100001…
…0011000111100100110100111
31111221110021101110021011000000
41012333103002120330212213
5311410244233121003143
63024004403321552343
7122522434533564240
oct10677230230744647
91457407343234000
10312213024000423
1190531888742837
122b024b860456b3
131052973c4697a0
14571529610bcc7
15261659d2e6bd3
hex11bf4c263c9a7

312213024000423 has 56 divisors (see below), whose sum is σ = 576129720890528. Its totient is φ = 164683792844352.

The previous prime is 312213024000421. The next prime is 312213024000431. The reversal of 312213024000423 is 324000420312213.

312213024000423 is a `hidden beast` number, since 3 + 1 + 2 + 213 + 0 + 2 + 400 + 0 + 42 + 3 = 666.

It is not a de Polignac number, because 312213024000423 - 21 = 312213024000421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213024000421) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2353097140 + ... + 2353229817.

It is an arithmetic number, because the mean of its divisors is an integer number (10288030730188).

Almost surely, 2312213024000423 is an apocalyptic number.

312213024000423 is a deficient number, since it is larger than the sum of its proper divisors (263916696890105).

312213024000423 is an equidigital number, since it uses as much as digits as its factorization.

312213024000423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706326995 (or 4706326980 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312213024000423 its reverse (324000420312213), we get a palindrome (636213444312636).

The spelling of 312213024000423 in words is "three hundred twelve trillion, two hundred thirteen billion, twenty-four million, four hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 729 819 1053 1701 2457 3159 5103 7371 9477 22113 66339 4706326957 14118980871 32944288699 42356942613 61182250441 98832866097 127070827839 183546751323 296498598291 381212483517 428275753087 550640253969 889495794873 1143637450551 1284827259261 1651920761907 2668487384619 3430912351653 3854481777783 4955762285721 8005462153857 11563445333349 14867286857163 24016386461571 34690336000047 44601860571489 104071008000141 312213024000423