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21000102131220 = 22359730111198361
BaseRepresentation
bin1001100011001011101111…
…01000001011011000010100
32202100120221020001201211120
410301211313220023120110
510223031202121144340
6112355151433403540
74265131051620402
oct461456750133024
982316836051746
1021000102131220
1167671031aa6a3
122431b638695b0
13b943bb78b144
145285a608c472
152663da5734d0
hex131977a0b614

21000102131220 has 96 divisors (see below), whose sum is σ = 59426253887616. Its totient is φ = 5540449689600.

The previous prime is 21000102131213. The next prime is 21000102131249. The reversal of 21000102131220 is 2213120100012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21000102131220.

It is a congruent number.

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, 16924840 + ... + 18123200.

It is an arithmetic number, because the mean of its divisors is an integer number (619023477996).

Almost surely, 221000102131220 is an apocalyptic number.

21000102131220 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 21000102131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29713126943808).

21000102131220 is an abundant number, since it is smaller than the sum of its proper divisors (38426151756396).

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

21000102131220 is a wasteful number, since it uses less digits than its factorization.

21000102131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201481 (or 1201479 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21000102131220 its reverse (2213120100012), we get a palindrome (23213222231232).

The spelling of 21000102131220 in words is "twenty-one trillion, one hundred two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 3011 5820 6022 9033 12044 15055 18066 30110 36132 45165 60220 90330 180660 292067 584134 876201 1168268 1198361 1460335 1752402 2396722 2920670 3504804 3595083 4381005 4793444 5841340 5991805 7190166 8762010 11983610 14380332 17524020 17975415 23967220 35950830 71901660 116241017 232482034 348723051 464964068 581205085 697446102 1162410170 1394892204 1743615255 2324820340 3487230510 3608264971 6974461020 7216529942 10824794913 14433059884 18041324855 21649589826 36082649710 43299179652 54123974565 72165299420 108247949130 216495898260 350001702187 700003404374 1050005106561 1400006808748 1750008510935 2100010213122 3500017021870 4200020426244 5250025532805 7000034043740 10500051065610 21000102131220