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202121221100220 = 223351630122961693
BaseRepresentation
bin101101111101010000000011…
…100101011101001010111100
3222111122121012102100211122000
4231331100003211131022330
5202443023230100201340
61553513112423222300
760400530165214122
oct5575200345351274
9874577172324560
10202121221100220
1159447146026994
121a804543ba7990
1388a1c459abc06
1437caa0da7d912
151857984329d30
hexb7d40395d2bc

202121221100220 has 96 divisors (see below), whose sum is σ = 628860179787840. Its totient is φ = 53895683462400.

The previous prime is 202121221100189. The next prime is 202121221100221. The reversal of 202121221100220 is 22001122121202.

It is a happy number.

202121221100220 is a `hidden beast` number, since 2 + 0 + 2 + 121 + 221 + 100 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202121221100193 and 202121221100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121221100221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2678307 + ... + 20283386.

It is an arithmetic number, because the mean of its divisors is an integer number (6550626872790).

Almost surely, 2202121221100220 is an apocalyptic number.

202121221100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121221100220 is an abundant number, since it is smaller than the sum of its proper divisors (426738958687620).

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

202121221100220 is a wasteful number, since it uses less digits than its factorization.

202121221100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22978012 (or 22978004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202121221100220 its reverse (22001122121202), we get a palindrome (224122343221422).

The spelling of 202121221100220 in words is "two hundred two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 16301 32602 48903 65204 81505 97806 146709 163010 195612 244515 293418 326020 440127 489030 586836 733545 880254 978060 1467090 1760508 2200635 2934180 4401270 8802540 22961693 45923386 68885079 91846772 114808465 137770158 206655237 229616930 275540316 344425395 413310474 459233860 619965711 688850790 826620948 1033276185 1239931422 1377701580 2066552370 2479862844 3099828555 4133104740 6199657110 12399314220 374298557593 748597115186 1122895672779 1497194230372 1871492787965 2245791345558 3368687018337 3742985575930 4491582691116 5614478363895 6737374036674 7485971151860 10106061055011 11228956727790 13474748073348 16843435091685 20212122110022 22457913455580 33686870183370 40424244220044 50530305275055 67373740366740 101060610550110 202121221100220