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117190045141 = 1343614877057
BaseRepresentation
bin110110100100100010…
…0100010110111010101
3102012111011202010002021
41231021010202313111
53410001122421031
6125500353213141
711316035643121
oct1551104426725
9365434663067
10117190045141
11457777a8484
121a8668611b1
13b087cb2ca0
14595a090581
1530ad451511
hex1b49122dd5

117190045141 has 32 divisors (see below), whose sum is σ = 131544858368. Its totient is φ = 103699491840.

The previous prime is 117190045127. The next prime is 117190045157. The reversal of 117190045141 is 141540091711.

It is a happy number.

It is a 10-Lehmer number, since φ(117190045141) divides (117190045141-1)10.

It is a cyclic number.

It is not a de Polignac number, because 117190045141 - 219 = 117189520853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 117190045097 and 117190045106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117190042141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16602685 + ... + 16609741.

It is an arithmetic number, because the mean of its divisors is an integer number (4110776824).

Almost surely, 2117190045141 is an apocalyptic number.

117190045141 is the 197645-th hex number.

It is an amenable number.

117190045141 is a deficient number, since it is larger than the sum of its proper divisors (14354813227).

117190045141 is a wasteful number, since it uses less digits than its factorization.

117190045141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661.

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 117190045141 in words is "one hundred seventeen billion, one hundred ninety million, forty-five thousand, one hundred forty-one".

Divisors: 1 13 43 61 487 559 793 2623 6331 7057 20941 29707 34099 91741 272233 303451 386191 430477 1277401 3436759 3944863 5596201 16606213 18510511 44677867 147780637 209642299 240636643 1921148281 2725349887 9014618857 117190045141