Search a number
-
+
137120510097 = 335078537411
BaseRepresentation
bin111111110110100000…
…1001111000010010001
3111002221011102122012000
41333231001033002101
54221310322310342
6142554200224213
712622655051004
oct1775501170221
9432834378160
10137120510097
1153174a5381a
12226a946b069
13cc1315290c
1468cb03553b
15387803444c
hex1fed04f091

137120510097 has 8 divisors (see below), whose sum is σ = 203141496480. Its totient is φ = 91413673380.

The previous prime is 137120510089. The next prime is 137120510101. The reversal of 137120510097 is 790015021731.

137120510097 is a `hidden beast` number, since 1 + 37 + 1 + 20 + 510 + 0 + 97 = 666.

It is not a de Polignac number, because 137120510097 - 23 = 137120510089 is a prime.

It is a super-2 number, since 2×1371205100972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137120510017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2539268679 + ... + 2539268732.

It is an arithmetic number, because the mean of its divisors is an integer number (25392687060).

Almost surely, 2137120510097 is an apocalyptic number.

It is an amenable number.

137120510097 is a deficient number, since it is larger than the sum of its proper divisors (66020986383).

137120510097 is an equidigital number, since it uses as much as digits as its factorization.

137120510097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078537420 (or 5078537414 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 137120510097 in words is "one hundred thirty-seven billion, one hundred twenty million, five hundred ten thousand, ninety-seven".

Divisors: 1 3 9 27 5078537411 15235612233 45706836699 137120510097