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21210120102120 = 2335617339692567
BaseRepresentation
bin1001101001010010111011…
…01011001010000011101000
32210002200000201221001220020
410310221131223022003220
510240001311221231440
6113035443351400440
74316244356124555
oct464513553120350
983080021831806
1021210120102120
11683818593a694
1224667b6383120
13bab14b41a441
1453480a84da2c
1526bacd2553d0
hex134a5daca0e8

21210120102120 has 128 divisors (see below), whose sum is σ = 65559420714240. Its totient is φ = 5487100323840.

The previous prime is 21210120102071. The next prime is 21210120102151. The reversal of 21210120102120 is 2120102101212.

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 21210120102120.

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, 19311924 + ... + 20380643.

It is an arithmetic number, because the mean of its divisors is an integer number (512182974330).

Almost surely, 221210120102120 is an apocalyptic number.

21210120102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210120102120 is an abundant number, since it is smaller than the sum of its proper divisors (44349300612120).

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

21210120102120 is a wasteful number, since it uses less digits than its factorization.

21210120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39692715 (or 39692711 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21210120102120 its reverse (2120102101212), we get a palindrome (23330222203332).

The spelling of 21210120102120 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 73 120 122 146 183 219 244 292 305 365 366 438 488 584 610 730 732 876 915 1095 1220 1460 1464 1752 1830 2190 2440 2920 3660 4380 4453 7320 8760 8906 13359 17812 22265 26718 35624 44530 53436 66795 89060 106872 133590 178120 267180 534360 39692567 79385134 119077701 158770268 198462835 238155402 317540536 396925670 476310804 595388505 793851340 952621608 1190777010 1587702680 2381554020 2421246587 2897557391 4763108040 4842493174 5795114782 7263739761 8692672173 9684986348 11590229564 12106232935 14487786955 14527479522 17385344346 19369972696 23180459128 24212465870 28975573910 29054959044 34770688692 36318698805 43463360865 48424931740 57951147820 58109918088 69541377384 72637397610 86926721730 96849863480 115902295640 145274795220 173853443460 176751000851 290549590440 347706886920 353502001702 530253002553 707004003404 883755004255 1060506005106 1414008006808 1767510008510 2121012010212 2651265012765 3535020017020 4242024020424 5302530025530 7070040034040 10605060051060 21210120102120