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23120033121020 = 225111013851270191
BaseRepresentation
bin1010100000111000011010…
…10111001000001011111100
310000212020211212020010002202
411100130031113020023330
511012244311434333040
6121101110244011032
74604236654666103
oct520341527101374
9100766755203082
1023120033121020
117404172a60180
122714998390a78
13cb9295b26724
1459d030a3d03a
152a1612424015
hex15070d5c82fc

23120033121020 has 96 divisors (see below), whose sum is σ = 53504396854272. Its totient is φ = 8321852000000.

The previous prime is 23120033121011. The next prime is 23120033121067. The reversal of 23120033121020 is 2012133002132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23120033120983 and 23120033121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85434125 + ... + 85704315.

It is an arithmetic number, because the mean of its divisors is an integer number (557337467232).

Almost surely, 223120033121020 is an apocalyptic number.

23120033121020 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 23120033121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26752198427136).

23120033121020 is an abundant number, since it is smaller than the sum of its proper divisors (30384363733252).

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

23120033121020 is a wasteful number, since it uses less digits than its factorization.

23120033121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274163 (or 274161 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23120033121020 its reverse (2012133002132), we get a palindrome (25132166123152).

The spelling of 23120033121020 in words is "twenty-three trillion, one hundred twenty billion, thirty-three million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 3851 4444 5555 7702 11110 15404 19255 22220 38510 42361 77020 84722 169444 211805 270191 388951 423610 540382 777902 847220 1080764 1350955 1555804 1944755 2701910 2972101 3889510 4278461 5403820 5944202 7779020 8556922 11888404 14860505 17113844 21392305 27289291 29721010 42784610 54578582 59442020 85569220 109157164 136446455 272892910 300182201 545785820 600364402 1040505541 1200728804 1500911005 2081011082 3001822010 4162022164 5202527705 6003644020 10405055410 11445560951 20810110820 22891121902 45782243804 57227804755 105091059641 114455609510 210182119282 228911219020 420364238564 525455298205 1050910596410 1156001656051 2101821192820 2312003312102 4624006624204 5780008280255 11560016560510 23120033121020