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201431240023220 = 22527129893712349
BaseRepresentation
bin101101110011001101011101…
…100000100001110010110100
3222102012122020110020110111022
4231303031131200201302310
5202400222134421220340
61552224122330200312
760266632622634464
oct5563153540416264
9872178213213438
10201431240023220
1159200566767449
121a712882883098
138851b6612659c
1437a5477225ba4
151844a4eb1c3b5
hexb7335d821cb4

201431240023220 has 24 divisors (see below), whose sum is σ = 423005873913000. Its totient is φ = 80572444606592.

The previous prime is 201431240023127. The next prime is 201431240023267. The reversal of 201431240023220 is 22320042134102.

201431240023220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37495072315684 + 163936167707536 = 6123322^2 + 12803756^2 .

It is a super-2 number, since 2×2014312400232202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201431240023220.

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, 52403606 + ... + 56115954.

It is an arithmetic number, because the mean of its divisors is an integer number (17625244746375).

Almost surely, 2201431240023220 is an apocalyptic number.

201431240023220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201431240023220 is an abundant number, since it is smaller than the sum of its proper divisors (221574633889780).

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

201431240023220 is a wasteful number, since it uses less digits than its factorization.

201431240023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425347 (or 6425345 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 201431240023220 its reverse (22320042134102), we get a palindrome (223751282157322).

The spelling of 201431240023220 in words is "two hundred one trillion, four hundred thirty-one billion, two hundred forty million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2712989 3712349 5425978 7424698 10851956 13564945 14849396 18561745 27129890 37123490 54259780 74246980 10071562001161 20143124002322 40286248004644 50357810005805 100715620011610 201431240023220