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312132213011 = 29136723113407
BaseRepresentation
bin1001000101011001000…
…01111001100100010011
31002211200000211022020202
410202230201321210103
520103221321304021
6355220324325415
731356633014633
oct4425441714423
91084600738222
10312132213011
11110413551523
12505b054386b
13235844a5288
14111705386c3
1581bc848a0b
hex48ac879913

312132213011 has 16 divisors (see below), whose sum is σ = 323366307840. Its totient is φ = 300929909280.

The previous prime is 312132212999. The next prime is 312132213031. The reversal of 312132213011 is 110312231213.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312132213011 is a prime.

It is a super-2 number, since 2×3121322130112 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312132213031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91613270 + ... + 91616676.

It is an arithmetic number, because the mean of its divisors is an integer number (20210394240).

Almost surely, 2312132213011 is an apocalyptic number.

312132213011 is a deficient number, since it is larger than the sum of its proper divisors (11234094829).

312132213011 is a wasteful number, since it uses less digits than its factorization.

312132213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312132213011 its reverse (110312231213), we get a palindrome (422444444224).

The spelling of 312132213011 in words is "three hundred twelve billion, one hundred thirty-two million, two hundred thirteen thousand, eleven".

Divisors: 1 29 1367 2311 3407 39643 67019 98803 3159137 4657369 7873577 91614973 135063701 228333733 10763179759 312132213011