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21291221109400 = 23521110195820077
BaseRepresentation
bin1001101011101001111111…
…01010111100101010011000
32210101102100210210002221121
410311310333222330222120
510242313410101000100
6113141015115415024
74325145210246124
oct465647752745230
983342323702847
1021291221109400
116869613289840
12247a46aa54474
13bb59a4696548
1453870190a584
1526dc7820851a
hex135d3fabca98

21291221109400 has 96 divisors (see below), whose sum is σ = 54536955594480. Its totient is φ = 7665606080000.

The previous prime is 21291221109391. The next prime is 21291221109413. The reversal of 21291221109400 is 490112219212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47687839 + ... + 48132238.

Almost surely, 221291221109400 is an apocalyptic number.

21291221109400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21291221109400 is an abundant number, since it is smaller than the sum of its proper divisors (33245734485080).

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

21291221109400 is a wasteful number, since it uses less digits than its factorization.

21291221109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95820205 (or 95820196 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

It can be divided in two parts, 212912 and 21109400, that added together give a palindrome (21322312).

The spelling of 21291221109400 in words is "twenty-one trillion, two hundred ninety-one billion, two hundred twenty-one million, one hundred nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 95820077 191640154 383280308 479100385 766560616 958200770 1054020847 1916401540 2108041694 2395501925 3832803080 4216083388 4791003850 5270104235 8432166776 9582007700 9677827777 10540208470 19164015400 19355655554 21080416940 26350521175 38711311108 42160833880 48389138885 52701042350 77422622216 96778277770 105402084700 106456105547 193556555540 210804169400 212912211094 241945694425 387113111080 425824422188 483891388850 532280527735 851648844376 967782777700 1064561055470 1935565555400 2129122110940 2661402638675 4258244221880 5322805277350 10645610554700 21291221109400