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2302313111120 = 2451129412200391
BaseRepresentation
bin100001100000001100100…
…011100001111001010000
322011002200011022002122102
4201200030203201321100
5300210114124023440
64521400144055532
7325223315356541
oct41401443417120
98132604262572
102302313111120
11808450803770
123122540045a8
13139151678a89
147d60acb44c8
153ed4d79cb15
hex2180c8e1e50

2302313111120 has 160 divisors (see below), whose sum is σ = 6188206429440. Its totient is φ = 788619776000.

The previous prime is 2302313111057. The next prime is 2302313111129. The reversal of 2302313111120 is 211113132032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2302313111092 and 2302313111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302313111129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53876 + ... + 2146515.

It is an arithmetic number, because the mean of its divisors is an integer number (38676290184).

Almost surely, 22302313111120 is an apocalyptic number.

2302313111120 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 2302313111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094103214720).

2302313111120 is an abundant number, since it is smaller than the sum of its proper divisors (3885893318320).

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

2302313111120 is a wasteful number, since it uses less digits than its factorization.

2302313111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200485 (or 2200479 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2302313111120 its reverse (211113132032), we get a palindrome (2513426243152).

The spelling of 2302313111120 in words is "two trillion, three hundred two billion, three hundred thirteen million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 41 44 55 58 80 82 88 110 116 145 164 176 205 220 232 290 319 328 410 440 451 464 580 638 656 820 880 902 1160 1189 1276 1595 1640 1804 2255 2320 2378 2552 3190 3280 3608 4510 4756 5104 5945 6380 7216 9020 9512 11890 12760 13079 18040 19024 23780 25520 26158 36080 47560 52316 65395 95120 104632 130790 209264 261580 523160 1046320 2200391 4400782 8801564 11001955 17603128 22003910 24204301 35206256 44007820 48408602 63811339 88015640 90216031 96817204 121021505 127622678 176031280 180432062 193634408 242043010 255245356 319056695 360864124 387268816 451080155 484086020 510490712 638113390 701924729 721728248 902160310 968172040 992376341 1020981424 1276226780 1403849458 1443456496 1804320620 1936344080 1984752682 2552453560 2616264899 2807698916 3509623645 3608641240 3969505364 4961881705 5104907120 5232529798 5615397832 7019247290 7217282480 7939010728 9923763410 10465059596 11230795664 13081324495 14038494580 15878021456 19847526820 20930119192 26162648990 28076989160 28778913889 39695053640 41860238384 52325297980 56153978320 57557827778 79390107280 104650595960 115115655556 143894569445 209301191920 230231311112 287789138890 460462622224 575578277780 1151156555560 2302313111120