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20411541330100 = 22522331833449119
BaseRepresentation
bin1001010010000011011101…
…01010111001100010110100
32200021022202102002012011221
410221001232222321202310
510133410314040030400
6111224533241040124
74204454010430414
oct451015652714264
980238672065157
1020411541330100
11655a538a53578
122357a87a86044
13b50a52a4288b
14507cd1164644
15255e3eaecc1a
hex12906eab98b4

20411541330100 has 144 divisors (see below), whose sum is σ = 48284589588480. Its totient is φ = 7466650646400.

The previous prime is 20411541330049. The next prime is 20411541330121. The reversal of 20411541330100 is 103314511402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 4193341 + ... + 7642459.

It is an arithmetic number, because the mean of its divisors is an integer number (335309649920).

Almost surely, 220411541330100 is an apocalyptic number.

20411541330100 is a gapful number since it is divisible by the number (20) 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 20411541330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24142294794240).

20411541330100 is an abundant number, since it is smaller than the sum of its proper divisors (27873048258380).

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

20411541330100 is a wasteful number, since it uses less digits than its factorization.

20411541330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449270 (or 3449263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 20411541330100 its reverse (103314511402), we get a palindrome (20514855841502).

The spelling of 20411541330100 in words is "twenty trillion, four hundred eleven billion, five hundred forty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 83 92 100 115 124 155 166 230 310 332 415 460 575 620 713 775 830 1150 1426 1550 1660 1909 2075 2300 2573 2852 3100 3565 3818 4150 5146 7130 7636 8300 9545 10292 12865 14260 17825 19090 25730 35650 38180 47725 51460 59179 64325 71300 95450 118358 128650 190900 236716 257300 295895 591790 1183580 1479475 2958950 3449119 5917900 6898238 13796476 17245595 34491190 68982380 79329737 86227975 106922689 158659474 172455950 213845378 286276877 317318948 344911900 396648685 427690756 534613445 572553754 793297370 1069226890 1145107508 1431384385 1586594740 1983243425 2138453780 2459221847 2673067225 2862768770 3966486850 4918443694 5346134450 5725537540 6584368171 7156921925 7932973700 8874583187 9836887388 10692268900 12296109235 13168736342 14313843850 17749166374 24592218470 26337472684 28627687700 32921840855 35498332748 44372915935 49184436940 61480546175 65843681710 88745831870 122961092350 131687363420 164609204275 177491663740 204115413301 221864579675 245922184700 329218408550 408230826602 443729159350 658436817100 816461653204 887458318700 1020577066505 2041154133010 4082308266020 5102885332525 10205770665050 20411541330100