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131030132100 = 22352791168491
BaseRepresentation
bin111101000001000000…
…0010010010110000100
3110112012201022101012120
41322002000102112010
54121322203211400
6140105554245540
712316022513640
oct1720200222604
9415181271176
10131030132100
115062a10367a
12214898868b0
13c482431b5a
1464b021bc20
15361d4e7ca0
hex1e82012584

131030132100 has 144 divisors (see below), whose sum is σ = 433754904576. Its totient is φ = 29916432000.

The previous prime is 131030132081. The next prime is 131030132111. The reversal of 131030132100 is 1231030131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131030132100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878855 + ... + 1947345.

Almost surely, 2131030132100 is an apocalyptic number.

131030132100 is a gapful number since it is divisible by the number (10) 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 131030132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216877452288).

131030132100 is an abundant number, since it is smaller than the sum of its proper divisors (302724772476).

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

131030132100 is a wasteful number, since it uses less digits than its factorization.

131030132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69426 (or 69419 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131030132100 its reverse (1231030131), we get a palindrome (132261162231).

The spelling of 131030132100 in words is "one hundred thirty-one billion, thirty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 911 1050 1822 2100 2733 3644 4555 5466 6377 9110 10932 12754 13665 18220 19131 22775 25508 27330 31885 38262 45550 54660 63770 68325 68491 76524 91100 95655 127540 136650 136982 159425 191310 205473 273300 273964 318850 342455 382620 410946 478275 479437 637700 684910 821892 956550 958874 1027365 1369820 1438311 1712275 1913100 1917748 2054730 2397185 2876622 3424550 4109460 4794370 5136825 5753244 6849100 7191555 9588740 10273650 11985925 14383110 20547300 23971850 28766220 35957775 47943700 62395301 71915550 124790602 143831100 187185903 249581204 311976505 374371806 436767107 623953010 748743612 873534214 935929515 1247906020 1310301321 1559882525 1747068428 1871859030 2183835535 2620602642 3119765050 3743718060 4367671070 4679647575 5241205284 6239530100 6551506605 8735342140 9359295150 10919177675 13103013210 18718590300 21838355350 26206026420 32757533025 43676710700 65515066050 131030132100