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137120510131 = 1137781329941
BaseRepresentation
bin111111110110100000…
…1001111000010110011
3111002221011102122020021
41333231001033002303
54221310322311011
6142554200224311
712622655051053
oct1775501170263
9432834378207
10137120510131
1153174a53850
12226a946b097
13cc13152937
1468cb035563
153878034471
hex1fed04f0b3

137120510131 has 8 divisors (see below), whose sum is σ = 149590423728. Its totient is φ = 124651332000.

The previous prime is 137120510123. The next prime is 137120510147. The reversal of 137120510131 is 131015021731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137120510131 - 23 = 137120510123 is a prime.

It is a super-2 number, since 2×1371205101312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137120510096 and 137120510105.

It is not an unprimeable number, because it can be changed into a prime (137120510101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250621 + ... + 580561.

It is an arithmetic number, because the mean of its divisors is an integer number (18698802966).

Almost surely, 2137120510131 is an apocalyptic number.

137120510131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137120510131 is a deficient number, since it is larger than the sum of its proper divisors (12469913597).

137120510131 is a wasteful number, since it uses less digits than its factorization.

137120510131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367733.

The product of its (nonzero) digits is 630, while the sum is 25.

Adding to 137120510131 its reverse (131015021731), we get a palindrome (268135531862).

It can be divided in two parts, 1371 and 20510131, that added together give a palindrome (20511502).

The spelling of 137120510131 in words is "one hundred thirty-seven billion, one hundred twenty million, five hundred ten thousand, one hundred thirty-one".

Divisors: 1 11 37781 329941 415591 3629351 12465500921 137120510131