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21201001111220 = 2257653272984979
BaseRepresentation
bin1001101001000001111100…
…01000111101111010110100
32210001210111012221100001112
410310200332020331322310
510234324122241024340
6113031334440014152
74315502400024350
oct464407610757264
983053435840045
1021201001111220
116834326466877
122464a90461358
13baa327107638
145341c3702460
1526b7478c2065
hex13483e23deb4

21201001111220 has 96 divisors (see below), whose sum is σ = 50979597177600. Its totient is φ = 7255038219264.

The previous prime is 21201001111201. The next prime is 21201001111229. The reversal of 21201001111220 is 2211110010212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21201001111195 and 21201001111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201001111229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249442691 + ... + 249527669.

It is an arithmetic number, because the mean of its divisors is an integer number (531037470600).

Almost surely, 221201001111220 is an apocalyptic number.

21201001111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201001111220 is an abundant number, since it is smaller than the sum of its proper divisors (29778596066380).

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

21201001111220 is a wasteful number, since it uses less digits than its factorization.

21201001111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88377 (or 88375 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21201001111220 its reverse (2211110010212), we get a palindrome (23412111121432).

The spelling of 21201001111220 in words is "twenty-one trillion, two hundred one billion, one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 653 1306 2612 2729 3265 4571 5458 6530 9142 10916 13060 13645 18284 19103 22855 27290 38206 45710 54580 76412 84979 91420 95515 169958 191030 339916 382060 424895 594853 849790 1189706 1699580 1782037 2379412 2974265 3564074 5948530 7128148 8910185 11897060 12474259 17820370 24948518 35640740 49897036 55491287 62371295 110982574 124742590 221965148 231907691 249485180 277456435 388439009 463815382 554912870 776878018 927630764 1109825740 1159538455 1553756036 1623353837 1942195045 2319076910 3246707674 3884390090 4638153820 6493415348 7768780180 8116769185 16233538370 32467076740 151435722223 302871444446 605742888892 757178611115 1060050055561 1514357222230 2120100111122 3028714444460 4240200222244 5300250277805 10600500555610 21201001111220