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20211110022220 = 225131014791606793
BaseRepresentation
bin1001001100001110001000…
…00010001000110001001100
32122120011102000012210111121
410212013010002020301030
510122114323131202340
6110552504502330324
74154130101425135
oct446070402106114
978504360183447
1020211110022220
116492535783387
12232506ba299a4
13b37b9026ca50
144dc319a8cc8c
15250b0d87d94a
hex1261c4088c4c

20211110022220 has 96 divisors (see below), whose sum is σ = 46257156933120. Its totient is φ = 7373247129600.

The previous prime is 20211110022157. The next prime is 20211110022227. The reversal of 20211110022220 is 2222001111202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20211110022194 and 20211110022203.

It is not an unprimeable number, because it can be changed into a prime (20211110022227) 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, 11775144 + ... + 13381936.

It is an arithmetic number, because the mean of its divisors is an integer number (481845384720).

Almost surely, 220211110022220 is an apocalyptic number.

20211110022220 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 20211110022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23128578466560).

20211110022220 is an abundant number, since it is smaller than the sum of its proper divisors (26046046910900).

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

20211110022220 is a wasteful number, since it uses less digits than its factorization.

20211110022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607395 (or 1607393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20211110022220 its reverse (2222001111202), we get a palindrome (22433111133422).

The spelling of 20211110022220 in words is "twenty trillion, two hundred eleven billion, one hundred ten million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 479 505 958 1010 1313 1916 2020 2395 2626 4790 5252 6227 6565 9580 12454 13130 24908 26260 31135 48379 62270 96758 124540 193516 241895 483790 628927 967580 1257854 1606793 2515708 3144635 3213586 6289270 6427172 8033965 12578540 16067930 20888309 32135860 41776618 83553236 104441545 162286093 208883090 324572186 417766180 649144372 769653847 811430465 1539307694 1622860930 2109719209 3078615388 3245721860 3848269235 4219438418 7696538470 8438876836 10005500011 10548596045 15393076940 20011000022 21097192090 40022000044 42194384180 50027500055 77735038547 100055000110 155470077094 200110000220 310940154188 388675192735 777350385470 1010555501111 1554700770940 2021111002222 4042222004444 5052777505555 10105555011110 20211110022220