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110242400100 = 22352727499483
BaseRepresentation
bin110011010101011110…
…1011000011101100100
3101112112222112011210120
41212222331120131210
53301234023300400
6122351125121540
710651623640200
oct1465275303544
9345488464716
10110242400100
1142831a62978
1219447b592b0
13a51b7ab311
14549b481b00
152d03529ca0
hex19aaf58764

110242400100 has 108 divisors (see below), whose sum is σ = 371044470384. Its totient is φ = 25198259520.

The previous prime is 110242400089. The next prime is 110242400123. The reversal of 110242400100 is 1004242011.

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 110242400100.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3735042 + ... + 3764441.

It is an arithmetic number, because the mean of its divisors is an integer number (3435596948).

Almost surely, 2110242400100 is an apocalyptic number.

110242400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110242400100 is an abundant number, since it is smaller than the sum of its proper divisors (260802070284).

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

110242400100 is a wasteful number, since it uses less digits than its factorization.

110242400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499514 (or 7499500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 110242400100 its reverse (1004242011), we get a palindrome (111246642111).

The spelling of 110242400100 in words is "one hundred ten billion, two hundred forty-two million, four hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 7499483 14998966 22498449 29997932 37497415 44996898 52496381 74994830 89993796 104992762 112492245 149989660 157489143 187487075 209985524 224984490 262481905 314978286 367474667 374974150 449968980 524963810 562461225 629956572 734949334 749948300 787445715 1049927620 1102424001 1124922450 1312409525 1469898668 1574891430 1837373335 2204848002 2249844900 2624819050 3149782860 3674746670 3937228575 4409696004 5249638100 5512120005 7349493340 7874457150 9186866675 11024240010 15748914300 18373733350 22048480020 27560600025 36747466700 55121200050 110242400100