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117142935381081 = 321087233192
BaseRepresentation
bin11010101000101001110111…
…000011010010010001011001
3120100202202101120122110002100
4122220221313003102101121
5110323232212424143311
61053050415510354013
733450204066466521
oct3250516703222131
9510682346573070
10117142935381081
1134364049126955
121117b10405b909
1350496ba669b4c
1420cda6958a681
15d822536b0a56
hex6a8a770d2459

117142935381081 has 27 divisors (see below), whose sum is σ = 169413312616821. Its totient is φ = 77999937342264.

The previous prime is 117142935381079. The next prime is 117142935381089. The reversal of 117142935381081 is 180183539241711.

It is a happy number.

The square root of 117142935381081 is 10823259.

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

117142935381081 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 4 + 2 + 93 + 538 + 10 + 8 + 1 = 666.

It is not a de Polignac number, because 117142935381081 - 21 = 117142935381079 is a prime.

It is a super-2 number, since 2×1171429353810812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117142935381089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35294645940 + ... + 35294649258.

Almost surely, 2117142935381081 is an apocalyptic number.

117142935381081 is the 10823259-th square number.

117142935381081 is the 5411630-th centered octagonal number.

It is an amenable number.

117142935381081 is a deficient number, since it is larger than the sum of its proper divisors (52270377235740).

117142935381081 is an frugal number, since it uses more digits than its factorization.

117142935381081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8818 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 117142935381081 in words is "one hundred seventeen trillion, one hundred forty-two billion, nine hundred thirty-five million, three hundred eighty-one thousand, eighty-one".

Divisors: 1 3 9 1087 3261 3319 9783 9957 29871 1181569 3544707 3607753 10634121 10823259 11015761 32469777 33047283 99141849 3921627511 11764882533 11974132207 35294647599 35922396621 107767189863 13015881709009 39047645127027 117142935381081