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131113203100 = 225211196273359
BaseRepresentation
bin111101000011011110…
…1001011010110011100
3110112102111121211012021
41322012331023112130
54122004434444400
6140122122545524
712321051560305
oct1720675132634
9415374554167
10131113203100
1150671a920a0
12214b16682a4
13c4966c8ca9
1464bb2837ac
15362595671a
hex1e86f4b59c

131113203100 has 72 divisors (see below), whose sum is σ = 326716588800. Its totient is φ = 45168177600.

The previous prime is 131113203049. The next prime is 131113203131. The reversal of 131113203100 is 1302311131.

It is a super-2 number, since 2×1311132031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3115780 + ... + 3157579.

It is an arithmetic number, because the mean of its divisors is an integer number (4537730400).

Almost surely, 2131113203100 is an apocalyptic number.

131113203100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131113203100 is an abundant number, since it is smaller than the sum of its proper divisors (195603385700).

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

131113203100 is a wasteful number, since it uses less digits than its factorization.

131113203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273403 (or 6273396 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131113203100 its reverse (1302311131), we get a palindrome (132415514231).

The spelling of 131113203100 in words is "one hundred thirty-one billion, one hundred thirteen million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 6273359 12546718 25093436 31366795 62733590 69006949 119193821 125467180 138013898 156833975 238387642 276027796 313667950 345034745 476775284 595969105 627335900 690069490 1191938210 1311132031 1380138980 1725173725 2383876420 2622264062 2979845525 3450347450 5244528124 5959691050 6555660155 6900694900 11919382100 13111320310 26222640620 32778300775 65556601550 131113203100