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312322202201321 = 13611133485388769
BaseRepresentation
bin100011100000011100010110…
…1111010101110110011101001
31111221211201012021022101221022
41013000320231322232303221
5311414041332230420241
63024130501113422225
7122533351216150034
oct10700705572566351
91457751167271838
10312322202201321
1190574113a13034
122b04217570a975
1310536b1b620520
14571a6920d001b
15261933d1ad54b
hex11c0e2deaece9

312322202201321 has 16 divisors (see below), whose sum is σ = 344886189569040. Its totient is φ = 281061750251520.

The previous prime is 312322202201117. The next prime is 312322202201381. The reversal of 312322202201321 is 123102202223213.

It can be written as a sum of positive squares in 8 ways, for example, as 117539314818025 + 194782887383296 = 10841555^2 + 13956464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312322202201321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312322202201381) 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, 1742604776 + ... + 1742783993.

It is an arithmetic number, because the mean of its divisors is an integer number (21555386848065).

Almost surely, 2312322202201321 is an apocalyptic number.

It is an amenable number.

312322202201321 is a deficient number, since it is larger than the sum of its proper divisors (32563987367719).

312322202201321 is a wasteful number, since it uses less digits than its factorization.

312322202201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485388956.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312322202201321 its reverse (123102202223213), we get a palindrome (435424404424534).

The spelling of 312322202201321 in words is "three hundred twelve trillion, three hundred twenty-two billion, two hundred two million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 13 61 113 793 1469 6893 89609 3485388769 45310053997 212608714909 393848930897 2763913293817 5120036101661 24024784784717 312322202201321