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137261431020 = 22357326812931
BaseRepresentation
bin111111111010101101…
…0110011100011101100
3111010021222121011100110
41333311122303203230
54222102411243040
6143020152500020
712626315625120
oct1776532634354
9433258534313
10137261431020
115323755479a
12227286aa610
13cc363c318c
146901a39580
1538855bd980
hex1ff56b38ec

137261431020 has 48 divisors (see below), whose sum is σ = 439236580608. Its totient is φ = 31374041280.

The previous prime is 137261431019. The next prime is 137261431031. The reversal of 137261431020 is 20134162731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163406046 + ... + 163406885.

It is an arithmetic number, because the mean of its divisors is an integer number (9150762096).

Almost surely, 2137261431020 is an apocalyptic number.

137261431020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137261431020 is an abundant number, since it is smaller than the sum of its proper divisors (301975149588).

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

137261431020 is a wasteful number, since it uses less digits than its factorization.

137261431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326812950 (or 326812948 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 137261431020 its reverse (20134162731), we get a palindrome (157395593751).

The spelling of 137261431020 in words is "one hundred thirty-seven billion, two hundred sixty-one million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 326812931 653625862 980438793 1307251724 1634064655 1960877586 2287690517 3268129310 3921755172 4575381034 4902193965 6536258620 6863071551 9150762068 9804387930 11438452585 13726143102 19608775860 22876905170 27452286204 34315357755 45753810340 68630715510 137261431020