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312300001331 = 89157191117017
BaseRepresentation
bin1001000101101101000…
…01111101100000110011
31002212002201112211112222
410202312201331200303
520104042300020311
6355245120511255
731364041132463
oct4426641754063
91085081484488
10312300001331
1111049a23335a
125063877b52b
13235b01919c6
1411188933ba3
1581cc43dadb
hex48b687d833

312300001331 has 16 divisors (see below), whose sum is σ = 319487224320. Its totient is φ = 305215173120.

The previous prime is 312300001319. The next prime is 312300001373. The reversal of 312300001331 is 133100003213.

It is a cyclic number.

It is not a de Polignac number, because 312300001331 - 210 = 312300000307 is a prime.

It is a super-2 number, since 2×3123000013312 (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 (312300001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2610335 + ... + 2727351.

It is an arithmetic number, because the mean of its divisors is an integer number (19967951520).

Almost surely, 2312300001331 is an apocalyptic number.

312300001331 is a deficient number, since it is larger than the sum of its proper divisors (7187222989).

312300001331 is a wasteful number, since it uses less digits than its factorization.

312300001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117454.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 312300001331 its reverse (133100003213), we get a palindrome (445400004544).

The spelling of 312300001331 in words is "three hundred twelve billion, three hundred million, one thousand, three hundred thirty-one".

Divisors: 1 89 157 191 13973 16999 29987 117017 2668843 10414513 18371669 22350247 1635078541 1989171983 3508988779 312300001331