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2301131010031 = 75359105127279
BaseRepresentation
bin100001011111000110000…
…110001010111111101111
322010222121202222010210121
4201133012012022333233
5300200204014310111
64521042555345411
7325152112566640
oct41370606127757
98128552863717
102301131010031
118079a4512717
12311b84152267
13138cc37b0589
147d537cc36c7
153ecceaea871
hex217c618afef

2301131010031 has 16 divisors (see below), whose sum is σ = 2724899097600. Its totient is φ = 1902383222688.

The previous prime is 2301131009971. The next prime is 2301131010049. The reversal of 2301131010031 is 1300101311032.

It is a cyclic number.

It is not a de Polignac number, because 2301131010031 - 233 = 2292541075439 is a prime.

It is a super-2 number, since 2×23011310100312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2301131009987 and 2301131010014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301131013031) 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, 52541751 + ... + 52585528.

It is an arithmetic number, because the mean of its divisors is an integer number (170306193600).

Almost surely, 22301131010031 is an apocalyptic number.

2301131010031 is a deficient number, since it is larger than the sum of its proper divisors (423768087569).

2301131010031 is a wasteful number, since it uses less digits than its factorization.

2301131010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105127398.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2301131010031 its reverse (1300101311032), we get a palindrome (3601232321063).

The spelling of 2301131010031 in words is "two trillion, three hundred one billion, one hundred thirty-one million, ten thousand, thirty-one".

Divisors: 1 7 53 59 371 413 3127 21889 105127279 735890953 5571745787 6202509461 39002220509 43417566227 328733001433 2301131010031