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137022151431 = 31131133941497
BaseRepresentation
bin111111110011100101…
…0000001101100000111
3111002200022100111110110
41333213022001230013
54221110132321211
6142540324124103
712620352033024
oct1774712015407
9432608314413
10137022151431
1153124483470
1222680536633
13cbc8965219
1468bbd5054b
15386e5a5ea6
hex1fe7281b07

137022151431 has 16 divisors (see below), whose sum is σ = 205734140928. Its totient is φ = 80364897600.

The previous prime is 137022151411. The next prime is 137022151459. The reversal of 137022151431 is 134151220731.

It is not a de Polignac number, because 137022151431 - 27 = 137022151303 is a prime.

It is a super-2 number, since 2×1370221514312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137022151411) 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, 66969726 + ... + 66971771.

It is an arithmetic number, because the mean of its divisors is an integer number (12858383808).

Almost surely, 2137022151431 is an apocalyptic number.

137022151431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137022151431 is a deficient number, since it is larger than the sum of its proper divisors (68711989497).

137022151431 is a wasteful number, since it uses less digits than its factorization.

137022151431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133941542.

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 137022151431 in words is "one hundred thirty-seven billion, twenty-two million, one hundred fifty-one thousand, four hundred thirty-one".

Divisors: 1 3 11 31 33 93 341 1023 133941497 401824491 1473356467 4152186407 4420069401 12456559221 45674050477 137022151431