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312211112213 = 711131877166169
BaseRepresentation
bin1001000101100010011…
…10111000000100010101
31002211212112021210121102
410202301032320010111
520103402021042323
6355232223355445
731361611444520
oct4426116700425
91084775253542
10312211112213
11110454040680
1250612a52b85
132359793b5b0
141117abd5bb7
1581c4731328
hex48b13b8115

312211112213 has 32 divisors (see below), whose sum is σ = 419418397440. Its totient is φ = 224446440960.

The previous prime is 312211112207. The next prime is 312211112233.

312211112213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312211112213 - 26 = 312211112149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312211112203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795793 + ... + 1961961.

It is an arithmetic number, because the mean of its divisors is an integer number (13106824920).

Almost surely, 2312211112213 is an apocalyptic number.

It is an amenable number.

312211112213 is a deficient number, since it is larger than the sum of its proper divisors (107207285227).

312211112213 is a wasteful number, since it uses less digits than its factorization.

312211112213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168077.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 312211 and 112213, that added together give a palindrome (424424).

The spelling of 312211112213 in words is "three hundred twelve billion, two hundred eleven million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 1877 13139 20647 24401 144529 166169 170807 268411 1163183 1827859 1878877 2160197 12795013 15121379 23762167 166335169 311899213 2183294491 3430891343 4054689769 24016239401 28382828383 44601587459 312211112213