Search a number
-
+
2312123313120 = 25354816923569
BaseRepresentation
bin100001101001010101010…
…010011110101111100000
322012000222211220222212020
4201221111102132233200
5300340212032004440
64530101430501440
7326021366614545
oct41512522365740
98160884828766
102312123313120
11811625373725
12314131504880
1313a055c4172a
147dc9bb4cbcc
1540224b693d0
hex21a5549ebe0

2312123313120 has 48 divisors (see below), whose sum is σ = 7283188437840. Its totient is φ = 616566216704.

The previous prime is 2312123313107. The next prime is 2312123313139. The reversal of 2312123313120 is 213133212132.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2408461305 + ... + 2408462264.

It is an arithmetic number, because the mean of its divisors is an integer number (151733092455).

Almost surely, 22312123313120 is an apocalyptic number.

2312123313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312123313120 is an abundant number, since it is smaller than the sum of its proper divisors (4971065124720).

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

2312123313120 is a wasteful number, since it uses less digits than its factorization.

2312123313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816923587 (or 4816923579 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2312123313120 its reverse (213133212132), we get a palindrome (2525256525252).

The spelling of 2312123313120 in words is "two trillion, three hundred twelve billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4816923569 9633847138 14450770707 19267694276 24084617845 28901541414 38535388552 48169235690 57803082828 72253853535 77070777104 96338471380 115606165656 144507707070 154141554208 192676942760 231212331312 289015414140 385353885520 462424662624 578030828280 770707771040 1156061656560 2312123313120