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23313003120 = 2433511981187
BaseRepresentation
bin10101101101100100…
…000011001001110000
32020011201112021011000
4111231210003021300
5340221112044440
614413154322000
71453501154061
oct255544031160
966151467130
1023313003120
119983645330
124627589300
132276b90704
1411b22c8568
15916a3b730
hex56d903270

23313003120 has 160 divisors (see below), whose sum is σ = 87600464640. Its totient is φ = 5651631360.

The previous prime is 23313003101. The next prime is 23313003127. The reversal of 23313003120 is 2130031332.

23313003120 is a `hidden beast` number, since 2 + 331 + 300 + 31 + 2 + 0 = 666.

It is a super-2 number, since 2×233130031202 (a number of 22 digits) contains 22 as substring.

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 = 23313003093 and 23313003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313003127) 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, 466834 + ... + 514353.

It is an arithmetic number, because the mean of its divisors is an integer number (547502904).

Almost surely, 223313003120 is an apocalyptic number.

23313003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23313003120 is an abundant number, since it is smaller than the sum of its proper divisors (64287461520).

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

23313003120 is a wasteful number, since it uses less digits than its factorization.

23313003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981220 (or 981208 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23313003120 its reverse (2130031332), we get a palindrome (25443034452).

The spelling of 23313003120 in words is "twenty-three billion, three hundred thirteen million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 981187 1962374 2943561 3924748 4905935 5887122 7849496 8830683 9811870 10793057 11774244 14717805 15698992 17661366 19623740 21586114 23548488 26492049 29435610 32379171 35322732 39247480 43172228 44153415 47096976 52984098 53965285 58871220 64758342 70645464 78494960 86344456 88306830 97137513 105968196 107930570 117742440 129516684 132460245 141290928 161895855 172688912 176613660 194275026 211936392 215861140 235484880 259033368 264920490 291412539 323791710 353227320 388550052 423872784 431722280 485687565 518066736 529840980 582825078 647583420 706454640 777100104 863444560 971375130 1059681960 1165650156 1295166840 1457062695 1554200208 1942750260 2119363920 2331300312 2590333680 2914125390 3885500520 4662600624 5828250780 7771001040 11656501560 23313003120