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136124101120 = 2957237139211
BaseRepresentation
bin111111011000110100…
…0001111001000000000
3111000100201111211000211
41332301220033020000
54212240232213440
6142311243523504
712556165524400
oct1766150171000
9430321454024
10136124101120
1152803562a27
122246b829594
13cab48a20c7
146834980800
15381a811eea
hex1fb1a0f200

136124101120 has 480 divisors, whose sum is σ = 394592869440. Its totient is φ = 44869386240.

The previous prime is 136124101093. The next prime is 136124101123. The reversal of 136124101120 is 21101421631.

It is a junction number, because it is equal to n+sod(n) for n = 136124101091 and 136124101100.

It is not an unprimeable number, because it can be changed into a prime (136124101123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645137815 + ... + 645138025.

It is an arithmetic number, because the mean of its divisors is an integer number (822068478).

Almost surely, 2136124101120 is an apocalyptic number.

136124101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136124101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197296434720).

136124101120 is an abundant number, since it is smaller than the sum of its proper divisors (258468768320).

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

136124101120 is a wasteful number, since it uses less digits than its factorization.

136124101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 136124101120 its reverse (21101421631), we get a palindrome (157225522751).

The spelling of 136124101120 in words is "one hundred thirty-six billion, one hundred twenty-four million, one hundred one thousand, one hundred twenty".