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312013013211211 = 13172731373828587
BaseRepresentation
bin100011011110001100011000…
…0110100010101100001001011
31111220202011010100200022111011
41012330120300310111201023
5311344010122340224321
63023332444404344351
7122502124222122634
oct10674306064254113
91456664110608434
10312013013211211
1190464a80882534
122abb22669a50b7
1310513915b40780
14570972081c88b
152611293e40ae1
hex11bc630d1584b

312013013211211 has 48 divisors (see below), whose sum is σ = 362095812971424. Its totient is φ = 267161792679936.

The previous prime is 312013013211197. The next prime is 312013013211217. The reversal of 312013013211211 is 112112310310213.

It is not a de Polignac number, because 312013013211211 - 233 = 312004423276619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312013013211217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376146060 + ... + 376974646.

It is an arithmetic number, because the mean of its divisors is an integer number (7543662770238).

Almost surely, 2312013013211211 is an apocalyptic number.

312013013211211 is a deficient number, since it is larger than the sum of its proper divisors (50082799760213).

312013013211211 is a wasteful number, since it uses less digits than its factorization.

312013013211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830080 (or 830063 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 312013013211211 its reverse (112112310310213), we get a palindrome (424125323521424).

The spelling of 312013013211211 in words is "three hundred twelve trillion, thirteen billion, thirteen million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 13 17 73 221 289 949 1241 1373 3757 16133 17849 21097 23341 100229 274261 303433 396797 828587 1302977 1703893 5158361 10771631 14085979 22150609 28966181 60486851 183117727 239461643 376560353 786329063 1028276467 1137649951 3113001359 13367594071 14789449363 17480699939 19340049167 83048446423 227249099207 251420639171 328780835839 1079629803499 1411823589191 4274150865907 18353706659483 24001001016247 312013013211211