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131300120100 = 223523311322257
BaseRepresentation
bin111101001001000011…
…0001101011000100100
3110112220112100012010010
41322102012031120210
54122400312320400
6140152441130220
712325511414652
oct1722206153044
9415815305103
10131300120100
1150758549656
1221544189970
13c4c6352376
1464d801bdd2
153637079450
hex1e9218d624

131300120100 has 72 divisors (see below), whose sum is σ = 381043021408. Its totient is φ = 34907558400.

The previous prime is 131300120099. The next prime is 131300120101. The reversal of 131300120100 is 1021003131.

It is an interprime number because it is at equal distance from previous prime (131300120099) and next prime (131300120101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131300120101) 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, 561829 + ... + 760428.

Almost surely, 2131300120100 is an apocalyptic number.

131300120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131300120100 is an abundant number, since it is smaller than the sum of its proper divisors (249742901308).

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

131300120100 is a wasteful number, since it uses less digits than its factorization.

131300120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322605 (or 1322598 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131300120100 its reverse (1021003131), we get a palindrome (132321123231).

The spelling of 131300120100 in words is "one hundred thirty-one billion, three hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 331 662 993 1324 1655 1986 3310 3972 4965 6620 8275 9930 16550 19860 24825 33100 49650 99300 1322257 2644514 3966771 5289028 6611285 7933542 13222570 15867084 19833855 26445140 33056425 39667710 66112850 79335420 99169275 132225700 198338550 396677100 437667067 875334134 1313001201 1750668268 2188335335 2626002402 4376670670 5252004804 6565006005 8753341340 10941676675 13130012010 21883353350 26260024020 32825030025 43766706700 65650060050 131300120100