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221104130400020 = 225728433079180419
BaseRepresentation
bin110010010001011111010001…
…001001101001111100010100
31001222212100102000020101121102
4302101133101021221330110
5212440032224340300040
62102125500230005232
764400150320025510
oct6221372111517424
91058770360211542
10221104130400020
11644a580a49000a
122096b565aa6818
13964b050c9815a
143c856d5b25140
151a8665c308515
hexc917d1269f14

221104130400020 has 96 divisors (see below), whose sum is σ = 531011913062400. Its totient is φ = 75755434011264.

The previous prime is 221104130400017. The next prime is 221104130400031. The reversal of 221104130400020 is 20004031401122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221104130399965 and 221104130400001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225413371 + ... + 1225593789.

It is an arithmetic number, because the mean of its divisors is an integer number (5531374094400).

Almost surely, 2221104130400020 is an apocalyptic number.

221104130400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221104130400020 is an abundant number, since it is smaller than the sum of its proper divisors (309907782662380).

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

221104130400020 is a wasteful number, since it uses less digits than its factorization.

221104130400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186357 (or 186355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221104130400020 its reverse (20004031401122), we get a palindrome (241108161801142).

The spelling of 221104130400020 in words is "two hundred twenty-one trillion, one hundred four billion, one hundred thirty million, four hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2843 3079 5686 6158 11372 12316 14215 15395 19901 21553 28430 30790 39802 43106 56860 61580 79604 86212 99505 107765 180419 199010 215530 360838 398020 431060 721676 902095 1262933 1804190 2525866 3608380 5051732 6314665 8753597 12629330 17507194 25258660 35014388 43767985 61275179 87535970 122550358 175071940 245100716 306375895 512931217 555510101 612751790 1025862434 1111020202 1225503580 2051724868 2222040404 2564656085 2777550505 3590518519 3888570707 5129312170 5555101010 7181037038 7777141414 10258624340 11110202020 14362074076 15554282828 17952592595 19442853535 35905185190 38885707070 71810370380 77771414140 1579315217143 3158630434286 6317260868572 7896576085715 11055206520001 15793152171430 22110413040002 31586304342860 44220826080004 55276032600005 110552065200010 221104130400020