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21210002011120 = 2451321949804919
BaseRepresentation
bin1001101001010010101101…
…01000101011001111110000
32210002122201111201102111111
410310221112220223033300
510240001041003323440
6113035423532323104
74316241423304126
oct464512650531760
983078644642444
1021210002011120
11683812521211a
122466782913494
13bab12cb11400
145347d8cad916
1526bac2bca4ea
hex134a56a2b3f0

21210002011120 has 120 divisors (see below), whose sum is σ = 53425840572000. Its totient is φ = 7827357477888.

The previous prime is 21210002011069. The next prime is 21210002011129. The reversal of 21210002011120 is 2111020001212.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 21210002011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210002011129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25948021 + ... + 26752939.

It is an arithmetic number, because the mean of its divisors is an integer number (445215338100).

Almost surely, 221210002011120 is an apocalyptic number.

21210002011120 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 21210002011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712920286000).

21210002011120 is an abundant number, since it is smaller than the sum of its proper divisors (32215838560880).

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

21210002011120 is a wasteful number, since it uses less digits than its factorization.

21210002011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806907 (or 806888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21210002011120 its reverse (2111020001212), we get a palindrome (23321022012332).

The spelling of 21210002011120 in words is "twenty-one trillion, two hundred ten billion, two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 1949 2704 3380 3898 6760 7796 9745 13520 15592 19490 25337 31184 38980 50674 77960 101348 126685 155920 202696 253370 329381 405392 506740 658762 804919 1013480 1317524 1609838 1646905 2026960 2635048 3219676 3293810 4024595 5270096 6439352 6587620 8049190 10463947 12878704 13175240 16098380 20927894 26350480 32196760 41855788 52319735 64393520 83711576 104639470 136031311 167423152 209278940 272062622 418557880 544125244 680156555 837115760 1088250488 1360313110 1568787131 2176500976 2720626220 3137574262 5441252440 6275148524 7843935655 10882504880 12550297048 15687871310 20394232703 25100594096 31375742620 40788465406 62751485240 81576930812 101971163515 125502970480 163153861624 203942327030 265125025139 326307723248 407884654060 530250050278 815769308120 1060500100556 1325625125695 1631538616240 2121000201112 2651250251390 4242000402224 5302500502780 10605001005560 21210002011120