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131301011100 = 22352762524291
BaseRepresentation
bin111101001001000100…
…1100110111010011100
3110112220121000110100010
41322102021212322130
54122401024323400
6140152512203220
712325522115430
oct1722211467234
9415817013303
10131301011100
1150758aa8016
1221544539510
13c4c65a4a9c
1464d81b09c0
1536371a3450
hex1e92266e9c

131301011100 has 72 divisors (see below), whose sum is σ = 434168683648. Its totient is φ = 30011659200.

The previous prime is 131301011081. The next prime is 131301011189. The reversal of 131301011100 is 1110103131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31260046 + ... + 31264245.

Almost surely, 2131301011100 is an apocalyptic number.

131301011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301011100 is an abundant number, since it is smaller than the sum of its proper divisors (302867672548).

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

131301011100 is a wasteful number, since it uses less digits than its factorization.

131301011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62524315 (or 62524308 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131301011100 its reverse (1110103131), we get a palindrome (132411114231).

The spelling of 131301011100 in words is "one hundred thirty-one billion, three hundred one million, eleven 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 1050 2100 62524291 125048582 187572873 250097164 312621455 375145746 437670037 625242910 750291492 875340074 937864365 1250485820 1313010111 1563107275 1750680148 1875728730 2188350185 2626020222 3126214550 3751457460 4376700370 4689321825 5252040444 6252429100 6565050555 8753400740 9378643650 10941750925 13130101110 18757287300 21883501850 26260202220 32825252775 43767003700 65650505550 131301011100