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312232100131301 = 7219732345602417
BaseRepresentation
bin100011011111110010011001…
…1011010100111000111100101
31111221112002121220101000001212
41012333210303122213013211
5311411102320113200201
63024021240245401205
7122524011340200200
oct10677446332470745
91457462556330055
10312232100131301
1190539987717259
122b02880a709205
131052b48c6114ac
145716185822937
152616d17dbdabb
hex11bf9336a71e5

312232100131301 has 12 divisors (see below), whose sum is σ = 365052468889548. Its totient is φ = 266268999088512.

The previous prime is 312232100131223. The next prime is 312232100131351. The reversal of 312232100131301 is 103131001232213.

It can be written as a sum of positive squares in 2 ways, for example, as 295262396606401 + 16969703524900 = 17183201^2 + 4119430^2 .

It is a de Polignac number, because none of the positive numbers 2k-312232100131301 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 (312232100131351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16172791556 + ... + 16172810861.

It is an arithmetic number, because the mean of its divisors is an integer number (30421039074129).

Almost surely, 2312232100131301 is an apocalyptic number.

It is an amenable number.

312232100131301 is a deficient number, since it is larger than the sum of its proper divisors (52820368758247).

312232100131301 is a wasteful number, since it uses less digits than its factorization.

312232100131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32345602628 (or 32345602621 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312232100131301 its reverse (103131001232213), we get a palindrome (415363101363514).

The spelling of 312232100131301 in words is "three hundred twelve trillion, two hundred thirty-two billion, one hundred million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 7 49 197 1379 9653 32345602417 226419216919 1584934518433 6372083676149 44604585733043 312232100131301