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312231101132213 = 101229118711372831
BaseRepresentation
bin100011011111110001111011…
…1110111101110110110110101
31111221112000001021120120221122
41012333203313313232312311
5311411043243342212323
63024020553201353325
7122523644516635334
oct10677436767566665
91457460037516848
10312231101132213
119053951481747a
122b028590038845
131052b360664a83
1457160ccc95d1b
152616caa338ec8
hex11bf8f7deedb5

312231101132213 has 16 divisors (see below), whose sum is σ = 316966286799360. Its totient is φ = 307530421464000.

The previous prime is 312231101132179. The next prime is 312231101132221.

312231101132213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312231101132213 - 210 = 312231101131189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231101132243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21767708 + ... + 33140538.

It is an arithmetic number, because the mean of its divisors is an integer number (19810392924960).

Almost surely, 2312231101132213 is an apocalyptic number.

It is an amenable number.

312231101132213 is a deficient number, since it is larger than the sum of its proper divisors (4735185667147).

312231101132213 is a wasteful number, since it uses less digits than its factorization.

312231101132213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374348.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 31223110 and 1132213, that added together give a palindrome (32355323).

The spelling of 312231101132213 in words is "three hundred twelve trillion, two hundred thirty-one billion, one hundred one million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 101 229 1187 23129 119887 271823 11372831 27454123 1148655931 2604378299 13499550397 263042208199 1363454590097 3091397040913 312231101132213