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2312320120 = 235119915303
BaseRepresentation
bin1000100111010011…
…0011010001111000
312222011001000212221
42021310303101320
514213423220440
61021241013424
7111205253035
oct21164632170
95864030787
102312320120
11a87276370
12546484274
132ab099a76
1417d15838c
15d8006d4a
hex89d33478

2312320120 has 64 divisors (see below), whose sum is σ = 5682493440. Its totient is φ = 839836800.

The previous prime is 2312320103. The next prime is 2312320139. The reversal of 2312320120 is 210232132.

It is a junction number, because it is equal to n+sod(n) for n = 2312320094 and 2312320103.

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, 433389 + ... + 438691.

It is an arithmetic number, because the mean of its divisors is an integer number (88788960).

Almost surely, 22312320120 is an apocalyptic number.

2312320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841246720).

2312320120 is an abundant number, since it is smaller than the sum of its proper divisors (3370173320).

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

2312320120 is a wasteful number, since it uses less digits than its factorization.

2312320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2312320120 is about 48086.5898146250. The cubic root of 2312320120 is about 1322.3588294179.

Adding to 2312320120 its reverse (210232132), we get a palindrome (2522552252).

The spelling of 2312320120 in words is "two billion, three hundred twelve million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 991 1982 3964 4955 5303 7928 9910 10606 10901 19820 21212 21802 26515 39640 42424 43604 53030 54505 58333 87208 106060 109010 116666 212120 218020 233332 291665 436040 466664 583330 1166660 2333320 5255273 10510546 21021092 26276365 42042184 52552730 57808003 105105460 115616006 210210920 231232012 289040015 462464024 578080030 1156160060 2312320120