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211130631602163 = 327131986293157231
BaseRepresentation
bin110000000000010110101110…
…010011000011111111110011
31000200112220001201200200210100
4300000112232103003333303
5210133131013142232123
62025012023445403443
762320453605015210
oct6000265623037763
91020486051620710
10211130631602163
11612aaaa8414449
121b81a645409583
1390a66c1399640
143a1cac44b6b07
151961ed3c6d643
hexc005ae4c3ff3

211130631602163 has 96 divisors (see below), whose sum is σ = 395105349416960. Its totient is φ = 105502366460160.

The previous prime is 211130631602147. The next prime is 211130631602171. The reversal of 211130631602163 is 361206136031112.

211130631602163 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 3 + 0 + 6 + 31 + 602 + 16 + 3 = 666.

211130631602163 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211130631602163 - 24 = 211130631602147 is a prime.

It is a super-2 number, since 2×2111306316021632 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211130631602063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1342726758 + ... + 1342883988.

Almost surely, 2211130631602163 is an apocalyptic number.

211130631602163 is a deficient number, since it is larger than the sum of its proper divisors (183974717814797).

211130631602163 is a wasteful number, since it uses less digits than its factorization.

211130631602163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243569 (or 243566 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 211130631602163 its reverse (361206136031112), we get a palindrome (572336767633275).

The spelling of 211130631602163 in words is "two hundred eleven trillion, one hundred thirty billion, six hundred thirty-one million, six hundred two thousand, one hundred sixty-three".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 5187 15561 86293 157231 258879 471693 604051 776637 1100617 1121809 1415079 1639567 1812153 2044003 2987389 3301851 3365427 4918701 5436459 6132009 7852663 8962167 9905553 10096281 11476969 14308021 14756103 18396027 20911723 21314371 23557989 26886501 34430907 38836057 42924063 62735169 63943113 70673967 103292721 116508171 128772189 149200597 188205507 191829339 271852399 349524513 447601791 815557197 1342805373 2446671591 13567934683 40703804049 94975542781 122111412147 176383150879 257790758977 284926628343 529149452637 773372276931 854779885029 1234682056153 1587448357911 1804535312839 2320116830793 3351279866701 3704046168459 5413605938517 10053839600103 11112138505377 16240817815551 23458959066907 30161518800309 70376877200721 211130631602163