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4232120343031 = 721941538572441
BaseRepresentation
bin111101100101011110000…
…001111001100111110111
3112222120211202001212122001
4331211132001321213313
51023314340301434111
613000113110320131
7614521613241100
oct75453601714767
915876752055561
104232120343031
111391917669a09
12584268659047
13249119871139
14108b9b2cd3a7
157514928d1c1
hex3d95e0799f7

4232120343031 has 96 divisors (see below), whose sum is σ = 5417274582720. Its totient is φ = 3284344627200.

The previous prime is 4232120343019. The next prime is 4232120343049. The reversal of 4232120343031 is 1303430212324.

It is a happy number.

It is not a de Polignac number, because 4232120343031 - 27 = 4232120342903 is a prime.

It is a super-2 number, since 2×42321203430312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232120343431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1733763771 + ... + 1733766211.

It is an arithmetic number, because the mean of its divisors is an integer number (56429943570).

Almost surely, 24232120343031 is an apocalyptic number.

4232120343031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4232120343031 is a deficient number, since it is larger than the sum of its proper divisors (1185154239689).

4232120343031 is a wasteful number, since it uses less digits than its factorization.

4232120343031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4232120343031 its reverse (1303430212324), we get a palindrome (5535550555355).

The spelling of 4232120343031 in words is "four trillion, two hundred thirty-two billion, one hundred twenty million, three hundred forty-three thousand, thirty-one".

Divisors: 1 7 19 41 49 53 133 287 371 779 857 931 1007 2009 2173 2441 2597 5453 5999 7049 15211 16283 17087 35137 38171 41287 41993 45421 46379 49343 100081 106477 113981 119609 129373 245959 289009 317947 324653 667603 700567 797867 862999 905611 1721713 1862261 1901539 2023063 2091937 2225629 2272571 2458087 4673221 4903969 5304293 6040993 6339277 13035827 13310773 14643559 17206609 32712547 35382959 37130051 39746803 42286951 85769417 91250789 93175411 100781567 102504913 110872661 120446263 247680713 259910357 278227621 600385919 705470969 776108627 1629618923 1733764991 1947593347 2106580559 4202701433 4545779101 4938296783 5432760389 11407332461 14746063913 31820453707 79851327227 86369802919 103222447391 222743175949 604588620433 4232120343031