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113130332100 = 223352271154613
BaseRepresentation
bin110100101011100010…
…1111101111111000100
3101211000020200022202000
41221113011331333010
53323142331111400
6123545451345300
711113321646052
oct1512705757704
9354006608660
10113130332100
1143a84139a35
1219b13152230
13a88bbb5116
145692c351d2
152e21d33600
hex1a5717dfc4

113130332100 has 144 divisors (see below), whose sum is σ = 365037469440. Its totient is φ = 30056572800.

The previous prime is 113130332009. The next prime is 113130332101. The reversal of 113130332100 is 1233031311.

It is a happy number.

113130332100 is a `hidden beast` number, since 11 + 31 + 303 + 321 + 0 + 0 = 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 (113130332101) 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, 654394 + ... + 809006.

Almost surely, 2113130332100 is an apocalyptic number.

113130332100 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 113130332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182518734720).

113130332100 is an abundant number, since it is smaller than the sum of its proper divisors (251907137340).

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

113130332100 is a wasteful number, since it uses less digits than its factorization.

113130332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154907 (or 154894 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113130332100 its reverse (1233031311), we get a palindrome (114363363411).

The spelling of 113130332100 in words is "one hundred thirteen billion, one hundred thirty million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 271 300 450 540 542 675 813 900 1084 1350 1355 1626 2439 2700 2710 3252 4065 4878 5420 6775 7317 8130 9756 12195 13550 14634 16260 20325 24390 27100 29268 36585 40650 48780 60975 73170 81300 121950 146340 154613 182925 243900 309226 365850 463839 618452 731700 773065 927678 1391517 1546130 1855356 2319195 2783034 3092260 3865325 4174551 4638390 5566068 6957585 7730650 8349102 9276780 11595975 13915170 15461300 16698204 20872755 23191950 27830340 34787925 41745510 41900123 46383900 69575850 83491020 83800246 104363775 125700369 139151700 167600492 208727550 209500615 251400738 377101107 417455100 419001230 502801476 628501845 754202214 838002460 1047503075 1131303321 1257003690 1508404428 1885505535 2095006150 2262606642 2514007380 3142509225 3771011070 4190012300 4525213284 5656516605 6285018450 7542022140 9427527675 11313033210 12570036900 18855055350 22626066420 28282583025 37710110700 56565166050 113130332100