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113241401032100 = 2252111491733398683
BaseRepresentation
bin11001101111111000010001…
…011110110111110110100100
3112211221202211221110002021212
4121233320101132313312210
5104320321342131011400
61040502214221130552
732565264324633305
oct3157702136676644
9484852757402255
10113241401032100
113309a45475a280
121084ab380b9a58
134b25806523253
141dd6cad5c67ac
15d15a06dad335
hex66fe117b7da4

113241401032100 has 144 divisors (see below), whose sum is σ = 270028832673600. Its totient is φ = 40878619660800.

The previous prime is 113241401032057. The next prime is 113241401032139. The reversal of 113241401032100 is 1230104142311.

It is a super-2 number, since 2×1132414010321002 (a number of 29 digits) contains 22 as substring.

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, 283839359 + ... + 284238041.

It is an arithmetic number, because the mean of its divisors is an integer number (1875200226900).

Almost surely, 2113241401032100 is an apocalyptic number.

113241401032100 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 113241401032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135014416336800).

113241401032100 is an abundant number, since it is smaller than the sum of its proper divisors (156787431641500).

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

113241401032100 is a wasteful number, since it uses less digits than its factorization.

113241401032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400590 (or 400583 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 113241401032100 its reverse (1230104142311), we get a palindrome (114471505174411).

The spelling of 113241401032100 in words is "one hundred thirteen trillion, two hundred forty-one billion, four hundred one million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 550 596 745 1100 1490 1639 1733 2980 3278 3466 3725 6556 6932 7450 8195 8665 14900 16390 17330 19063 32780 34660 38126 40975 43325 76252 81950 86650 95315 163900 173300 190630 258217 381260 398683 476575 516434 797366 953150 1032868 1291085 1594732 1906300 1993415 2582170 2840387 3986830 4385513 5164340 5680774 6455425 7973660 8771026 9967075 11361548 12910850 14201935 17542052 19934150 21927565 25821700 28403870 39868300 43855130 56807740 59403767 71009675 87710260 109637825 118807534 142019350 219275650 237615068 284038700 297018835 438551300 594037670 653441437 690917639 1188075340 1306882874 1381835278 1485094175 2613765748 2763670556 2970188350 3267207185 3454588195 5940376700 6534414370 6909176390 7600094029 13068828740 13818352780 15200188058 16336035925 17272940975 30400376116 32672071850 34545881950 38000470145 65344143700 69091763900 76000940290 102946728211 152001880580 190002350725 205893456422 380004701450 411786912844 514733641055 760009402900 1029467282110 1132414010321 2058934564220 2264828020642 2573668205275 4529656041284 5147336410550 5662070051605 10294672821100 11324140103210 22648280206420 28310350258025 56620700516050 113241401032100