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221310220320020 = 225135371226200679
BaseRepresentation
bin110010010100011111001101…
…000100010011110100010100
31002000121001100202210001211102
4302110133031010103310110
5213001421312400220040
62102404302304125232
764421064366321356
oct6224371504236424
91060531322701742
10221310220320020
1164575156909247
12209a34a1006818
139664605ba7790
143c916869410d6
151a8bbc0228515
hexc947cd113d14

221310220320020 has 96 divisors (see below), whose sum is σ = 517127327377920. Its totient is φ = 79043564920320.

The previous prime is 221310220320019. The next prime is 221310220320031. The reversal of 221310220320020 is 20023022013122.

It is a happy number.

It is a super-2 number, since 2×2213102203200202 (a number of 29 digits) contains 22 as substring.

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 = 221310220319974 and 221310220320001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112121960 + ... + 114078719.

It is an arithmetic number, because the mean of its divisors is an integer number (5386742993520).

Almost surely, 2221310220320020 is an apocalyptic number.

221310220320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221310220320020 is an abundant number, since it is smaller than the sum of its proper divisors (295817107057900).

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

221310220320020 is a wasteful number, since it uses less digits than its factorization.

221310220320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226200825 (or 226200823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221310220320020 its reverse (20023022013122), we get a palindrome (241333242333142).

The spelling of 221310220320020 in words is "two hundred twenty-one trillion, three hundred ten billion, two hundred twenty million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 71 106 130 142 212 260 265 284 355 530 689 710 923 1060 1378 1420 1846 2756 3445 3692 3763 4615 6890 7526 9230 13780 15052 18460 18815 37630 48919 75260 97838 195676 244595 489190 978380 226200679 452401358 904802716 1131003395 2262006790 2940608827 4524013580 5881217654 11762435308 11988635987 14703044135 16060248209 23977271974 29406088270 32120496418 47954543948 58812176540 59943179935 64240992836 80301241045 119886359870 155852267831 160602482090 208783226717 239772719740 311704535662 321204964180 417566453434 623409071324 779261339155 835132906868 851193155077 1043916133585 1558522678310 1702386310154 2087832267170 3117045356620 3404772620308 4175664534340 4255965775385 8511931550770 11065511016001 17023863101540 22131022032002 44262044064004 55327555080005 110655110160010 221310220320020