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131240100132 = 2232414710118731
BaseRepresentation
bin111101000111010000…
…1010000000100100100
3110112202100101212012100
41322032201100010210
54122234431201012
6140142454452100
712324152305431
oct1721641200444
9415670355170
10131240100132
1150727684779
1221528064030
13c4b6a992ab
1464d0076b88
153631b708dc
hex1e8e850124

131240100132 has 144 divisors (see below), whose sum is σ = 350522774784. Its totient is φ = 41355840000.

The previous prime is 131240100077. The next prime is 131240100133. The reversal of 131240100132 is 231001042131.

131240100132 is a `hidden beast` number, since 131 + 2 + 401 + 0 + 0 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131240100133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6997207 + ... + 7015937.

It is an arithmetic number, because the mean of its divisors is an integer number (2434185936).

Almost surely, 2131240100132 is an apocalyptic number.

131240100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131240100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175261387392).

131240100132 is an abundant number, since it is smaller than the sum of its proper divisors (219282674652).

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

131240100132 is a wasteful number, since it uses less digits than its factorization.

131240100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18930 (or 18925 counting only the distinct ones).

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

Adding to 131240100132 its reverse (231001042131), we get a palindrome (362241142263).

The spelling of 131240100132 in words is "one hundred thirty-one billion, two hundred forty million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 101 123 141 164 188 202 246 282 303 369 404 423 492 564 606 738 846 909 1212 1476 1692 1818 1927 3636 3854 4141 4747 5781 7708 8282 9494 11562 12423 14241 16564 17343 18731 18988 23124 24846 28482 34686 37269 37462 42723 49692 56193 56964 69372 74538 74924 85446 112386 149076 168579 170892 194627 224772 337158 389254 583881 674316 767971 778508 880357 1167762 1535942 1751643 1760714 1891831 2303913 2335524 2641071 3071884 3503286 3521428 3783662 4607826 5282142 5675493 6911739 7006572 7567324 7923213 9215652 10564284 11350986 13823478 15846426 17026479 22701972 27646956 31692852 34052958 36094637 68105916 72189274 77565071 88916057 108283911 144378548 155130142 177832114 216567822 232695213 266748171 310260284 324851733 355664228 433135644 465390426 533496342 649703466 698085639 800244513 930780852 1066992684 1299406932 1396171278 1600489026 2792342556 3200978052 3645558337 7291116674 10936675011 14582233348 21873350022 32810025033 43746700044 65620050066 131240100132