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23220213131020 = 225171934910299313
BaseRepresentation
bin1010100011110011000001…
…00011100010011100001100
310001012211102120120220122111
411101321200203202130030
511020414444030143040
6121215115121153404
74614414346014103
oct521714043423414
9101184376526574
1023220213131020
117442700a65474
12273029648b864
13cc586ca11759
145a3c1595b03a
152a4027369dea
hex151e608e270c

23220213131020 has 96 divisors (see below), whose sum is σ = 54503969688000. Its totient is φ = 8257905967104.

The previous prime is 23220213130943. The next prime is 23220213131021. The reversal of 23220213131020 is 2013131202232.

It is a junction number, because it is equal to n+sod(n) for n = 23220213130982 and 23220213131000.

It is not an unprimeable number, because it can be changed into a prime (23220213131021) 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 31 ways as a sum of consecutive naturals, for example, 2895117 + ... + 7404196.

It is an arithmetic number, because the mean of its divisors is an integer number (567749684250).

Almost surely, 223220213131020 is an apocalyptic number.

23220213131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23220213131020 is an abundant number, since it is smaller than the sum of its proper divisors (31283756556980).

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

23220213131020 is a wasteful number, since it uses less digits than its factorization.

23220213131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299707 (or 10299705 counting only the distinct ones).

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

Adding to 23220213131020 its reverse (2013131202232), we get a palindrome (25233344333252).

The spelling of 23220213131020 in words is "twenty-three trillion, two hundred twenty billion, two hundred thirteen million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 349 380 646 698 1292 1396 1615 1745 3230 3490 5933 6460 6631 6980 11866 13262 23732 26524 29665 33155 59330 66310 112727 118660 132620 225454 450908 563635 1127270 2254540 10299313 20598626 41197252 51496565 102993130 175088321 195686947 205986260 350176642 391373894 700353284 782747788 875441605 978434735 1750883210 1956869470 3326678099 3501766420 3594460237 3913738940 6653356198 7188920474 13306712396 14377840948 16633390495 17972301185 33266780990 35944602370 61105824029 66533561980 68294744503 71889204740 122211648058 136589489006 244423296116 273178978012 305529120145 341473722515 611058240290 682947445030 1161010656551 1222116480580 1365894890060 2322021313102 4644042626204 5805053282755 11610106565510 23220213131020