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2131110322331 = 29211499697951
BaseRepresentation
bin11111000000110000000…
…100101110000010011011
321112201202202001022111012
4133000300010232002123
5234404003220303311
64311004002124135
7306652620566534
oct37006004560233
97481682038435
102131110322331
11751887245581
122a503465064b
13125c69492063
14752095c368b
153a67d56578b
hex1f03012e09b

2131110322331 has 16 divisors (see below), whose sum is σ = 2219487360000. Its totient is φ = 2043765108000.

The previous prime is 2131110322321. The next prime is 2131110322387. The reversal of 2131110322331 is 1332230111312.

It is a cyclic number.

It is not a de Polignac number, because 2131110322331 - 222 = 2131106128027 is a prime.

It is a super-2 number, since 2×21311103223312 (a number of 25 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 = 2131110322297 and 2131110322306.

It is not an unprimeable number, because it can be changed into a prime (2131110322321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704406 + ... + 3402356.

It is an arithmetic number, because the mean of its divisors is an integer number (138717960000).

Almost surely, 22131110322331 is an apocalyptic number.

2131110322331 is a deficient number, since it is larger than the sum of its proper divisors (88377037669).

2131110322331 is a wasteful number, since it uses less digits than its factorization.

2131110322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698690.

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

Adding to 2131110322331 its reverse (1332230111312), we get a palindrome (3463340433643).

The spelling of 2131110322331 in words is "two trillion, one hundred thirty-one billion, one hundred ten million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 29 211 499 6119 14471 105289 697951 3053381 20240579 147267661 348277549 4270762169 10100048921 73486562839 2131110322331