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21001002320100 = 223521137171998381
BaseRepresentation
bin1001100011001101011010…
…10010001000000011100100
32202100200020221221001211110
410301212231102020003210
510223040023043220400
6112355421031505020
74265162262243645
oct461465522100344
982320227831743
1021001002320100
116767525350950
122432175228170
13b9450311c79a
1452864d8576cc
1526643e5dae50
hex1319ad4880e4

21001002320100 has 144 divisors (see below), whose sum is σ = 68078335582656. Its totient is φ = 4953553344000.

The previous prime is 21001002320069. The next prime is 21001002320227. The reversal of 21001002320100 is 102320010012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85877091 + ... + 86121290.

It is an arithmetic number, because the mean of its divisors is an integer number (472766219324).

Almost surely, 221001002320100 is an apocalyptic number.

21001002320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001002320100 is an abundant number, since it is smaller than the sum of its proper divisors (47077333262556).

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

21001002320100 is a wasteful number, since it uses less digits than its factorization.

21001002320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171998446 (or 171998439 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21001002320100 its reverse (102320010012), we get a palindrome (21103322330112).

The spelling of 21001002320100 in words is "twenty-one trillion, one billion, two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 171998381 343996762 515995143 687993524 859991905 1031990286 1719983810 1891982191 2063980572 2579975715 3439967620 3783964382 4299959525 5159951430 5675946573 6363940097 7567928764 8599919050 9459910955 10319902860 11351893146 12727880194 12899878575 17199838100 18919821910 19091820291 22703786292 25455760388 25799757150 28379732865 31819700485 37839643820 38183640582 47299554775 51599514300 56759465730 63639400970 70003341067 76367281164 94599109550 95459101455 113518931460 127278801940 140006682134 141898664325 159098502425 189198219100 190918202910 210010023201 280013364268 283797328650 318197004850 350016705335 381836405820 420020046402 477295507275 567594657300 636394009700 700033410670 840040092804 954591014550 1050050116005 1400066821340 1750083526675 1909182029100 2100100232010 3500167053350 4200200464020 5250250580025 7000334106700 10500501160050 21001002320100