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122077013431 is a prime number
BaseRepresentation
bin111000110110001011…
…0110110010110110111
3102200002202102211021211
41301230112312112313
54000003203412211
6132025330022251
711551116331102
oct1615426662667
9380082384254
10122077013431
114785532304a
121b7ab417987
13b6865b75b9
145ca112b739
1532974cbe21
hex1c6c5b65b7

122077013431 has 2 divisors, whose sum is σ = 122077013432. Its totient is φ = 122077013430.

The previous prime is 122077013407. The next prime is 122077013477. The reversal of 122077013431 is 134310770221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122077013431 - 221 = 122074916279 is a prime.

It is a super-3 number, since 3×1220770134313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122077013393 and 122077013402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122077013131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61038506715 + 61038506716.

It is an arithmetic number, because the mean of its divisors is an integer number (61038506716).

Almost surely, 2122077013431 is an apocalyptic number.

122077013431 is a deficient number, since it is larger than the sum of its proper divisors (1).

122077013431 is an equidigital number, since it uses as much as digits as its factorization.

122077013431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 31.

Adding to 122077013431 its reverse (134310770221), we get a palindrome (256387783652).

The spelling of 122077013431 in words is "one hundred twenty-two billion, seventy-seven million, thirteen thousand, four hundred thirty-one".