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21000212311320 = 23335111767694639
BaseRepresentation
bin1001100011001011111100…
…01100011110110100011000
32202100121012220101110112000
410301211332030132310120
510223031413322430240
6112355210411121000
74265133560262234
oct461457614366430
982317186343460
1021000212311320
11676715a414630
122431b94743160
13b94408557478
145285b696d5c4
152663e5089430
hex13197e31ed18

21000212311320 has 128 divisors (see below), whose sum is σ = 76364408448000. Its totient is φ = 5090960557440.

The previous prime is 21000212311261. The next prime is 21000212311339. The reversal of 21000212311320 is 2311321200012.

21000212311320 is a `hidden beast` number, since 2 + 10 + 0 + 0 + 21 + 2 + 311 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21000212311293 and 21000212311302.

It is a congruent number.

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, 883835440 + ... + 883859199.

It is an arithmetic number, because the mean of its divisors is an integer number (596596941000).

Almost surely, 221000212311320 is an apocalyptic number.

21000212311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000212311320 is an abundant number, since it is smaller than the sum of its proper divisors (55364196136680).

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

21000212311320 is a wasteful number, since it uses less digits than its factorization.

21000212311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767694670 (or 1767694660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21000212311320 its reverse (2311321200012), we get a palindrome (23311533511332).

The spelling of 21000212311320 in words is "twenty-one trillion, two hundred twelve million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 1767694639 3535389278 5303083917 7070778556 8838473195 10606167834 14141557112 15909251751 17676946390 19444641029 21212335668 26515419585 31818503502 35353892780 38889282058 42424671336 47727755253 53030839170 58333923087 63637007004 70707785560 77778564116 79546258755 95455510506 97223205145 106061678340 116667846174 127274014008 155557128232 159092517510 175001769261 190911021012 194446410290 212123356680 233335692348 238638776265 291669615435 318185035020 350003538522 381822042024 388892820580 466671384696 477277552530 525005307783 583339230870 636370070040 700007077044 777785641160 875008846305 954555105060 1050010615566 1166678461740 1400014154088 1750017692610 1909110210120 2100021231132 2333356923480 2625026538915 3500035385220 4200042462264 5250053077830 7000070770440 10500106155660 21000212311320