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21000011102120 = 23529379713991607
BaseRepresentation
bin1001100011001011100100…
…01100111011011110101000
32202100120200212202222101102
410301211302030323132220
510223031010320231440
6112355134422340532
74265125565110421
oct461456214733650
982316625688342
1021000011102120
116767066886136
122431b3928a748
13b943a596897b
14528597d54648
152663d2591b15
hex13197233b7a8

21000011102120 has 128 divisors (see below), whose sum is σ = 47534268096000. Its totient is φ = 8349656595456.

The previous prime is 21000011102093. The next prime is 21000011102167. The reversal of 21000011102120 is 2120111000012.

It is an unprimeable number.

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, 13067834357 + ... + 13067835963.

It is an arithmetic number, because the mean of its divisors is an integer number (371361469500).

Almost surely, 221000011102120 is an apocalyptic number.

21000011102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000011102120 is an abundant number, since it is smaller than the sum of its proper divisors (26534256993880).

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

21000011102120 is a wasteful number, since it uses less digits than its factorization.

21000011102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21000011102120 its reverse (2120111000012), we get a palindrome (23120122102132).

The spelling of 21000011102120 in words is "twenty-one trillion, eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 293 586 797 1172 1399 1465 1594 1607 2344 2798 2930 3188 3214 3985 5596 5860 6376 6428 6995 7970 8035 11192 11720 12856 13990 15940 16070 27980 31880 32140 55960 64280 233521 409907 467042 470851 819814 934084 941702 1115003 1167605 1280779 1639628 1868168 1883404 2049535 2230006 2248193 2335210 2354255 2561558 3279256 3766808 4099070 4460012 4496386 4670420 4708510 5123116 5575015 6403895 8198140 8920024 8992772 9340840 9417020 10246232 11150030 11240965 12807790 16396280 17985544 18834040 22300060 22481930 25615580 44600120 44963860 51231160 89927720 326695879 375268247 653391758 658720549 750536494 1306783516 1317441098 1501072988 1633479395 1791809821 1876341235 2613567032 2634882196 3002145976 3266958790 3293602745 3583619642 3752682470 5269764392 6533917580 6587205490 7167239284 7505364940 8959049105 13067835160 13174410980 14334478568 15010729880 17918098210 26348821960 35836196420 71672392840 525000277553 1050000555106 2100001110212 2625001387765 4200002220424 5250002775530 10500005551060 21000011102120