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130144001031 = 32114013278269
BaseRepresentation
bin111100100110100101…
…1111101110000000111
3110102220221220020220100
41321031023331300013
54113013331013111
6135442021335143
712255042520302
oct1711513756007
9412827806810
10130144001031
1150214994250
1221280b674b3
13c370983045
146428671b39
1535ba80a756
hex1e4d2fdc07

130144001031 has 24 divisors (see below), whose sum is σ = 205586868240. Its totient is φ = 78678432000.

The previous prime is 130144000981. The next prime is 130144001047. The reversal of 130144001031 is 130100441031.

It is not a de Polignac number, because 130144001031 - 26 = 130144000967 is a prime.

It is a super-2 number, since 2×1301440010312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130144000995 and 130144001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144001051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599436 + ... + 1678833.

It is an arithmetic number, because the mean of its divisors is an integer number (8566119510).

Almost surely, 2130144001031 is an apocalyptic number.

130144001031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130144001031 is a deficient number, since it is larger than the sum of its proper divisors (75442867209).

130144001031 is a wasteful number, since it uses less digits than its factorization.

130144001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278687 (or 3278684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130144001031 its reverse (130100441031), we get a palindrome (260244442062).

Subtracting from 130144001031 its reverse (130100441031), we obtain a square (43560000 = 66002).

The spelling of 130144001031 in words is "one hundred thirty billion, one hundred forty-four million, one thousand, thirty-one".

Divisors: 1 3 9 11 33 99 401 1203 3609 4411 13233 39699 3278269 9834807 29504421 36060959 108182877 324548631 1314585869 3943757607 11831272821 14460444559 43381333677 130144001031