Search a number
-
+
106415525151 = 3213909534403
BaseRepresentation
bin110001100011011011…
…1000000110100011111
3101011200021120210021100
41203012313000310133
53220414333301101
6120515302004143
710455035016315
oct1430667006437
9334607523240
10106415525151
1141148876101
121875a416653
13a05b9c4480
1452171160b5
152b7c5a0e86
hex18c6dc0d1f

106415525151 has 12 divisors (see below), whose sum is σ = 165535261528. Its totient is φ = 65486476944.

The previous prime is 106415525137. The next prime is 106415525159. The reversal of 106415525151 is 151525514601.

106415525151 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 552 + 51 + 51 = 666.

It is not a de Polignac number, because 106415525151 - 29 = 106415524639 is a prime.

It is a super-2 number, since 2×1064155251512 (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 (106415525159) 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 in 11 ways as a sum of consecutive naturals, for example, 454767085 + ... + 454767318.

Almost surely, 2106415525151 is an apocalyptic number.

106415525151 is a deficient number, since it is larger than the sum of its proper divisors (59119736377).

106415525151 is a wasteful number, since it uses less digits than its factorization.

106415525151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909534422 (or 909534419 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 106415525151 in words is "one hundred six billion, four hundred fifteen million, five hundred twenty-five thousand, one hundred fifty-one".

Divisors: 1 3 9 13 39 117 909534403 2728603209 8185809627 11823947239 35471841717 106415525151