Search a number
-
+
2131512000 = 2635388813
BaseRepresentation
bin111111100001100…
…0100101011000000
312111112211000202220
41333003010223000
513331131341000
6551301411040
7103551360462
oct17703045300
95445730686
102131512000
119a4201572
124b5a09a80
1327c7a2107
14163130132
15c71de1a0
hex7f0c4ac0

2131512000 has 112 divisors (see below), whose sum is σ = 7038331872. Its totient is φ = 568396800.

The previous prime is 2131511927. The next prime is 2131512007. The reversal of 2131512000 is 2151312.

It is a super-2 number, since 2×21315120002 = 9086686812288000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2131512007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20407 + ... + 68406.

Almost surely, 22131512000 is an apocalyptic number.

2131512000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131512000 is an abundant number, since it is smaller than the sum of its proper divisors (4906819872).

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

2131512000 is an equidigital number, since it uses as much as digits as its factorization.

2131512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88843 (or 88823 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2131512000 is about 46168.3008134369. The cubic root of 2131512000 is about 1286.9527255846.

Adding to 2131512000 its reverse (2151312), we get a palindrome (2133663312).

The spelling of 2131512000 in words is "two billion, one hundred thirty-one million, five hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 88813 177626 266439 355252 444065 532878 710504 888130 1065756 1332195 1421008 1776260 2131512 2220325 2664390 2842016 3552520 4263024 4440650 5328780 5684032 6660975 7105040 8526048 8881300 10657560 11101625 13321950 14210080 17052096 17762600 21315120 22203250 26643900 28420160 33304875 35525200 42630240 44406500 53287800 66609750 71050400 85260480 88813000 106575600 133219500 142100800 177626000 213151200 266439000 355252000 426302400 532878000 710504000 1065756000 2131512000