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23233210023120 = 2435438112775931
BaseRepresentation
bin1010100100001011001110…
…01110101111110011010000
310001021001222100112102212120
411102011213032233303100
511021123103231214440
6121225104521454240
74615354413535566
oct522054716576320
9101231870472776
1023233210023120
117448170407909
122732903041380
13cc6b61565956
145a46c9b17a36
152a45383a5dd0
hex1521673afcd0

23233210023120 has 160 divisors (see below), whose sum is σ = 73788802881024. Its totient is φ = 6043976870400.

The previous prime is 23233210023109. The next prime is 23233210023131. The reversal of 23233210023120 is 2132001233232.

It is an interprime number because it is at equal distance from previous prime (23233210023109) and next prime (23233210023131).

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 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, 6981555 + ... + 9757485.

Almost surely, 223233210023120 is an apocalyptic number.

23233210023120 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 23233210023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36894401440512).

23233210023120 is an abundant number, since it is smaller than the sum of its proper divisors (50555592857904).

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

23233210023120 is a wasteful number, since it uses less digits than its factorization.

23233210023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776801 (or 2776795 counting only the distinct ones).

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

Adding to 23233210023120 its reverse (2132001233232), we get a palindrome (25365211256352).

The spelling of 23233210023120 in words is "twenty-three trillion, two hundred thirty-three billion, two hundred ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 811 860 1032 1290 1622 1720 2064 2433 2580 3244 3440 4055 4866 5160 6488 8110 9732 10320 12165 12976 16220 19464 24330 32440 34873 38928 48660 64880 69746 97320 104619 139492 174365 194640 209238 278984 348730 418476 523095 557968 697460 836952 1046190 1394920 1673904 2092380 2775931 2789840 4184760 5551862 8327793 8369520 11103724 13879655 16655586 22207448 27759310 33311172 41638965 44414896 55518620 66622344 83277930 111037240 119365033 133244688 166555860 222074480 238730066 333111720 358095099 477460132 596825165 666223440 716190198 954920264 1193650330 1432380396 1790475495 1909840528 2251280041 2387300660 2864760792 3580950990 4502560082 4774601320 5729521584 6753840123 7161901980 9005120164 9549202640 11256400205 13507680246 14323803960 18010240328 22512800410 27015360492 28647607920 33769200615 36020480656 45025600820 54030720984 67538401230 90051201640 96805041763 108061441968 135076802460 180102403280 193610083526 270153604920 290415125289 387220167052 484025208815 540307209840 580830250578 774440334104 968050417630 1161660501156 1452075626445 1548880668208 1936100835260 2323321002312 2904151252890 3872201670520 4646642004624 5808302505780 7744403341040 11616605011560 23233210023120