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21101122020 = 22351160153197
BaseRepresentation
bin10011101001101110…
…011001000111100100
32000110120111001200210
4103221232121013210
5321203341401040
613405502135420
71344622402116
oct235156310744
960416431623
1021101122020
118a49040320
12410a881570
131cb385c224
1410426373b6
15837774480
hex4e9b991e4

21101122020 has 96 divisors (see below), whose sum is σ = 64562795136. Its totient is φ = 5106816000.

The previous prime is 21101121997. The next prime is 21101122079. The reversal of 21101122020 is 2022110112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21101121987 and 21101122005.

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, 370062 + ... + 423258.

It is an arithmetic number, because the mean of its divisors is an integer number (672529116).

Almost surely, 221101122020 is an apocalyptic number.

21101122020 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 21101122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281397568).

21101122020 is an abundant number, since it is smaller than the sum of its proper divisors (43461673116).

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

21101122020 is a wasteful number, since it uses less digits than its factorization.

21101122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53821 (or 53819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21101122020 its reverse (2022110112), we get a palindrome (23123232132).

The spelling of 21101122020 in words is "twenty-one billion, one hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 601 660 1202 1803 2404 3005 3606 6010 6611 7212 9015 12020 13222 18030 19833 26444 33055 36060 39666 53197 66110 79332 99165 106394 132220 159591 198330 212788 265985 319182 396660 531970 585167 638364 797955 1063940 1170334 1595910 1755501 2340668 2925835 3191820 3511002 5851670 7022004 8777505 11703340 17555010 31971397 35110020 63942794 95914191 127885588 159856985 191828382 319713970 351685367 383656764 479570955 639427940 703370734 959141910 1055056101 1406741468 1758426835 1918283820 2110112202 3516853670 4220224404 5275280505 7033707340 10550561010 21101122020