Search a number
-
+
106155515151 = 3271978879643
BaseRepresentation
bin110001011011101011…
…1001001110100001111
3101011000011022220121100
41202313113021310033
53214401302441101
6120433413034143
710445426663550
oct1426727116417
9334004286540
10106155515151
1141025025804
12186a7325953
13a019b887ba
1451d0792327
152b64840e86
hex18b75c9d0f

106155515151 has 48 divisors (see below), whose sum is σ = 176347252224. Its totient is φ = 60278081472.

The previous prime is 106155515143. The next prime is 106155515153. The reversal of 106155515151 is 151515551601.

106155515151 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 551 + 51 + 51 = 666.

It is not a de Polignac number, because 106155515151 - 23 = 106155515143 is a prime.

It is a super-2 number, since 2×1061555151512 (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 (106155515153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11003736 + ... + 11013378.

It is an arithmetic number, because the mean of its divisors is an integer number (3673901088).

Almost surely, 2106155515151 is an apocalyptic number.

106155515151 is a deficient number, since it is larger than the sum of its proper divisors (70191737073).

106155515151 is a wasteful number, since it uses less digits than its factorization.

106155515151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10737 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 36.

The spelling of 106155515151 in words is "one hundred six billion, one hundred fifty-five million, five hundred fifteen thousand, one hundred fifty-one".

Divisors: 1 3 7 9 21 63 197 591 887 1379 1773 2661 4137 6209 7983 9643 12411 18627 28929 55881 67501 86787 174739 202503 524217 607509 1223173 1572651 1899671 3669519 5699013 8553341 11008557 13297697 17097039 25660023 39893091 59873387 76980069 119679273 179620161 538860483 1685008177 5055024531 11795057239 15165073593 35385171717 106155515151