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2131302120 = 233537480023
BaseRepresentation
bin111111100001001…
…0001011011101000
312111112102100212120
41333002101123220
513331103131440
6551253111240
7103546524543
oct17702213350
95445370776
102131302120
119a4078912
124b5928520
1327c72a71c
141630b785a
15c719bdd0
hex7f0916e8

2131302120 has 64 divisors (see below), whose sum is σ = 6566728320. Its totient is φ = 552985344.

The previous prime is 2131302097. The next prime is 2131302169. The reversal of 2131302120 is 212031312.

2131302120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 2131302120.

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, 235572 + ... + 244451.

It is an arithmetic number, because the mean of its divisors is an integer number (102605130).

Almost surely, 22131302120 is an apocalyptic number.

2131302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131302120 is an abundant number, since it is smaller than the sum of its proper divisors (4435426200).

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

2131302120 is a wasteful number, since it uses less digits than its factorization.

2131302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480074 (or 480070 counting only the distinct ones).

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

The square root of 2131302120 is about 46166.0277693457. The cubic root of 2131302120 is about 1286.9104841297.

Adding to 2131302120 its reverse (212031312), we get a palindrome (2343333432).

The spelling of 2131302120 in words is "two billion, one hundred thirty-one million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 480023 960046 1440069 1920092 2400115 2880138 3840184 4800230 5760276 7200345 9600460 11520552 14400690 17760851 19200920 28801380 35521702 53282553 57602760 71043404 88804255 106565106 142086808 177608510 213130212 266412765 355217020 426260424 532825530 710434040 1065651060 2131302120