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23122332010120 = 2357412014140419
BaseRepresentation
bin1010100000111100101100…
…11000101100011010001000
310000212110210001222210002111
411100132112120230122020
511012314013443310440
6121102130325112104
74604350641142510
oct520362630543210
9100773701883074
1023122332010120
117405142692622
12271531a258634
13cb95711a0035
1459d1ac09c840
152a16e91764ea
hex15079662c688

23122332010120 has 64 divisors (see below), whose sum is σ = 60907606300800. Its totient is φ = 7734299205120.

The previous prime is 23122332010093. The next prime is 23122332010121. The reversal of 23122332010120 is 2101023322132.

It is a junction number, because it is equal to n+sod(n) for n = 23122332010091 and 23122332010100.

It is not an unprimeable number, because it can be changed into a prime (23122332010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007058730 + ... + 1007081689.

It is an arithmetic number, because the mean of its divisors is an integer number (951681348450).

Almost surely, 223122332010120 is an apocalyptic number.

23122332010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23122332010120 is an abundant number, since it is smaller than the sum of its proper divisors (37785274290680).

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

23122332010120 is a wasteful number, since it uses less digits than its factorization.

23122332010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014140478 (or 2014140474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 23122332010120 its reverse (2101023322132), we get a palindrome (25223355332252).

The spelling of 23122332010120 in words is "twenty-three trillion, one hundred twenty-two billion, three hundred thirty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 2014140419 4028280838 8056561676 10070702095 14098982933 16113123352 20141404190 28197965866 40282808380 56395931732 70494914665 80565616760 82579757179 112791863464 140989829330 165159514358 281979658660 330319028716 412898785895 563959317320 578058300253 660638057432 825797571790 1156116600506 1651595143580 2312233201012 2890291501265 3303190287160 4624466402024 5780583002530 11561166005060 23122332010120