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1913129108001 = 3217411201253937
BaseRepresentation
bin11011110101101111011…
…000011000001000100001
320202220010020221022001200
4123311233120120020201
5222321042022424001
64022513540151413
7255135060051246
oct33655730301041
96686106838050
101913129108001
11678398562971
1226a93b098569
1310b53aabc0b7
146884b3a55cd
1534b716e9086
hex1bd6f618221

1913129108001 has 48 divisors (see below), whose sum is σ = 2999834602128. Its totient is φ = 1170137088000.

The previous prime is 1913129107999. The next prime is 1913129108021. The reversal of 1913129108001 is 1008019213191.

It can be written as a sum of positive squares in 8 ways, for example, as 157970477025 + 1755158630976 = 397455^2 + 1324824^2 .

It is not a de Polignac number, because 1913129108001 - 21 = 1913129107999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1913129108021) 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, 7406905 + ... + 7660841.

It is an arithmetic number, because the mean of its divisors is an integer number (62496554211).

Almost surely, 21913129108001 is an apocalyptic number.

It is an amenable number.

1913129108001 is a deficient number, since it is larger than the sum of its proper divisors (1086705494127).

1913129108001 is a wasteful number, since it uses less digits than its factorization.

1913129108001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255202 (or 255199 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 1913129108001 in words is "one trillion, nine hundred thirteen billion, one hundred twenty-nine million, one hundred eight thousand, one".

Divisors: 1 3 9 17 41 51 123 153 369 697 1201 2091 3603 6273 10809 20417 49241 61251 147723 183753 253937 443169 761811 837097 2285433 2511291 4316929 7533873 10411417 12950787 31234251 38852361 93702753 176994089 304978337 530982267 914935011 1592946801 2744805033 5184631729 12504111817 15553895187 37512335451 46661685561 112537006353 212569900889 637709702667 1913129108001