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2131320120 = 2335113157177
BaseRepresentation
bin111111100001001…
…0101110100111000
312111112110021120020
41333002111310320
513331104220440
6551253330440
7103546631166
oct17702256470
95445407506
102131320120
119a4090396
124b5936a20
1327c735987
141630c0236
15c71a23d0
hex7f095d38

2131320120 has 64 divisors (see below), whose sum is σ = 6450585120. Its totient is φ = 563318784.

The previous prime is 2131320119. The next prime is 2131320127. The reversal of 2131320120 is 210231312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131320120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131320127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65029 + ... + 92148.

Almost surely, 22131320120 is an apocalyptic number.

2131320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131320120 is an abundant number, since it is smaller than the sum of its proper divisors (4319265000).

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

2131320120 is a wasteful number, since it uses less digits than its factorization.

2131320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157304 (or 157300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2131320120 is about 46166.2227174804. Note that the first 3 decimals coincide. The cubic root of 2131320120 is about 1286.9141070047.

Adding to 2131320120 its reverse (210231312), we get a palindrome (2341551432).

The spelling of 2131320120 in words is "two billion, one hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 157177 314354 471531 628708 785885 943062 1257416 1571770 1886124 2357655 3143540 3772248 4715310 6287080 9430620 17761001 18861240 35522002 53283003 71044004 88805005 106566006 142088008 177610010 213132012 266415015 355220020 426264024 532830030 710440040 1065660060 2131320120