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131201020032 = 273536446591
BaseRepresentation
bin111101000110000110…
…0001011000010000000
3110112122121212101101020
41322030030023002000
54122144430120112
6140134541105440
712323166161325
oct1721414130200
9415577771336
10131201020032
1150707612275
1221516b58280
13c4ab965384
1464c8bc2b4c
15362d50148c
hex1e8c30b080

131201020032 has 64 divisors (see below), whose sum is σ = 355078287360. Its totient is φ = 42908503040.

The previous prime is 131201020019. The next prime is 131201020063. The reversal of 131201020032 is 230020102131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 131201019993 and 131201020020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202944 + ... + 3243647.

It is an arithmetic number, because the mean of its divisors is an integer number (5548098240).

Almost surely, 2131201020032 is an apocalyptic number.

131201020032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131201020032 is an abundant number, since it is smaller than the sum of its proper divisors (223877267328).

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

131201020032 is an equidigital number, since it uses as much as digits as its factorization.

131201020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446661 (or 6446649 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131201020032 its reverse (230020102131), we get a palindrome (361221122163).

The spelling of 131201020032 in words is "one hundred thirty-one billion, two hundred one million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 6446591 12893182 19339773 25786364 38679546 51572728 77359092 103145456 154718184 206290912 309436368 341669323 412581824 618872736 683338646 825163648 1025007969 1237745472 1366677292 2050015938 2475490944 2733354584 4100031876 5466709168 8200063752 10933418336 16400127504 21866836672 32800255008 43733673344 65600510016 131201020032