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31429275601 is a prime number
BaseRepresentation
bin11101010001010101…
…001010111111010001
310000010100201121220111
4131101111022333101
51003331343304401
622234410241321
72161563302053
oct352125127721
9100110647814
1031429275601
1112369008a39
126111726241
132c6b523bc9
1417421bb8d3
15c3e352e51
hex75154afd1

31429275601 has 2 divisors, whose sum is σ = 31429275602. Its totient is φ = 31429275600.

The previous prime is 31429275583. The next prime is 31429275607. The reversal of 31429275601 is 10657292413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25496424976 + 5932850625 = 159676^2 + 77025^2 .

It is a cyclic number.

It is not a de Polignac number, because 31429275601 - 27 = 31429275473 is a prime.

It is a super-2 number, since 2×314292756012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31429275607) 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 as a sum of consecutive naturals, namely, 15714637800 + 15714637801.

It is an arithmetic number, because the mean of its divisors is an integer number (15714637801).

Almost surely, 231429275601 is an apocalyptic number.

It is an amenable number.

31429275601 is a deficient number, since it is larger than the sum of its proper divisors (1).

31429275601 is an equidigital number, since it uses as much as digits as its factorization.

31429275601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 31429275601 in words is "thirty-one billion, four hundred twenty-nine million, two hundred seventy-five thousand, six hundred one".