Search a number
-
+
137110945122 = 232872772
BaseRepresentation
bin111111110110001110…
…0101111110101100010
3111002220111102200111200
41333230130233311202
54221300400220442
6142553215222030
712622510542534
oct1775434576542
9432814380450
10137110945122
115316a610488
12226a6217916
13cc11184078
1468c9a65854
15387729534c
hex1fec72fd62

137110945122 has 18 divisors (see below), whose sum is σ = 297077118273. Its totient is φ = 45703124712.

The previous prime is 137110945117. The next prime is 137110945171. The reversal of 137110945122 is 221549011731.

It is a happy number.

137110945122 is a `hidden beast` number, since 1 + 37 + 1 + 109 + 4 + 512 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94827659481 + 42283285641 = 307941^2 + 205629^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=261831.

It is a super-2 number, since 2×1371109451222 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1527348 + ... + 1614624.

Almost surely, 2137110945122 is an apocalyptic number.

137110945122 is an abundant number, since it is smaller than the sum of its proper divisors (159966173151).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137110945122 is an frugal number, since it uses more digits than its factorization.

137110945122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174562 (or 87282 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 137110945122 its reverse (221549011731), we get a palindrome (358659956853).

The spelling of 137110945122 in words is "one hundred thirty-seven billion, one hundred ten million, nine hundred forty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 87277 174554 261831 523662 785493 1570986 7617274729 15234549458 22851824187 45703648374 68555472561 137110945122