Search a number
-
+
13131001020 = 22351731265029
BaseRepresentation
bin11000011101010101…
…10010110010111100
31020220010021222002010
430032222302302330
5203343014013040
610010550531220
7643253444544
oct141652626274
936803258063
1013131001020
115629120465
122665666b10
13131357acb7
148c7d0a324
1551cbcbe80
hex30eab2cbc

13131001020 has 48 divisors (see below), whose sum is σ = 36979356960. Its totient is φ = 3481357056.

The previous prime is 13131000989. The next prime is 13131001057. The reversal of 13131001020 is 2010013131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13131000987 and 13131001005.

It is a congruent number.

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, 622135 + ... + 642894.

It is an arithmetic number, because the mean of its divisors is an integer number (770403270).

Almost surely, 213131001020 is an apocalyptic number.

13131001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131001020 is an abundant number, since it is smaller than the sum of its proper divisors (23848355940).

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

13131001020 is a wasteful number, since it uses less digits than its factorization.

13131001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265214 (or 1265212 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13131001020 its reverse (2010013131), we get a palindrome (15141014151).

The spelling of 13131001020 in words is "thirteen billion, one hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2595 3460 5190 10380 1265029 2530058 3795087 5060116 6325145 7590174 12650290 15180348 18975435 25300580 37950870 75901740 218850017 437700034 656550051 875400068 1094250085 1313100102 2188500170 2626200204 3282750255 4377000340 6565500510 13131001020