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13104333020400 = 2435227140296227
BaseRepresentation
bin1011111010110001011100…
…0111010101110011110000
31201101202120111111010002020
42332230113013111303300
53204200133223123100
643512014131151440
72521520405551416
oct276542707256360
951352514433066
1013104333020400
1141a25753a7196
12157785a745580
1374096c0a904b
143343787272b6
1517ad18ec95a0
hexbeb171d5cf0

13104333020400 has 120 divisors (see below), whose sum is σ = 42132446517504. Its totient is φ = 3481593926400.

The previous prime is 13104333020357. The next prime is 13104333020473. The reversal of 13104333020400 is 402033340131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19822914 + ... + 20473313.

Almost surely, 213104333020400 is an apocalyptic number.

13104333020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104333020400 is an abundant number, since it is smaller than the sum of its proper divisors (29028113497104).

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

13104333020400 is a wasteful number, since it uses less digits than its factorization.

13104333020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40296519 (or 40296508 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13104333020400 its reverse (402033340131), we get a palindrome (13506366360531).

The spelling of 13104333020400 in words is "thirteen trillion, one hundred four billion, three hundred thirty-three million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 271 300 400 542 600 813 1084 1200 1355 1626 2168 2710 3252 4065 4336 5420 6504 6775 8130 10840 13008 13550 16260 20325 21680 27100 32520 40650 54200 65040 81300 108400 162600 325200 40296227 80592454 120888681 161184908 201481135 241777362 322369816 402962270 483554724 604443405 644739632 805924540 967109448 1007405675 1208886810 1611849080 1934218896 2014811350 2417773620 3022217025 3223698160 4029622700 4835547240 6044434050 8059245400 9671094480 10920277517 12088868100 16118490800 21840555034 24177736200 32760832551 43681110068 48355472400 54601387585 65521665102 87362220136 109202775170 131043330204 163804162755 174724440272 218405550340 262086660408 273006937925 327608325510 436811100680 524173320816 546013875850 655216651020 819020813775 873622201360 1092027751700 1310433302040 1638041627550 2184055503400 2620866604080 3276083255100 4368111006800 6552166510200 13104333020400