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130970886201 = 347925092
BaseRepresentation
bin111100111111001111…
…0010010000000111001
3110112001120211101010000
41321332132102000321
54121212021324301
6140100040343213
712314403110241
oct1717636220071
9415046741100
10130970886201
11505a9718321
1221471a74b09
13c47308a1cc
1464a63d8b21
1536181e3786
hex1e7e792039

130970886201 has 45 divisors (see below), whose sum is σ = 198545840031. Its totient is φ = 86039315856.

The previous prime is 130970886191. The next prime is 130970886239. The reversal of 130970886201 is 102688079031.

The square root of 130970886201 is 361899.

It is a perfect power (a square), and thus also a powerful number.

130970886201 is a `hidden beast` number, since 13 + 0 + 9 + 7 + 0 + 8 + 8 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106503669801 + 24467216400 = 326349^2 + 156420^2 .

It is not a de Polignac number, because 130970886201 - 213 = 130970878009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130970886281) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 257309935 + ... + 257310443.

Almost surely, 2130970886201 is an apocalyptic number.

130970886201 is the 361899-th square number.

130970886201 is the 180950-th centered octagonal number.

It is an amenable number.

130970886201 is a deficient number, since it is larger than the sum of its proper divisors (67574953830).

130970886201 is an frugal number, since it uses more digits than its factorization.

130970886201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 130970886201 in words is "one hundred thirty billion, nine hundred seventy million, eight hundred eighty-six thousand, two hundred one".

Divisors: 1 3 9 27 79 81 237 509 711 1527 2133 4581 6241 6399 13743 18723 40211 41229 56169 120633 168507 259081 361899 505521 777243 1085697 2331729 3176669 3257091 6995187 9530007 20467399 20985561 28590021 61402197 85770063 184206591 257310189 552619773 1616924521 1657859319 4850773563 14552320689 43656962067 130970886201