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23320312120 = 2357436728909
BaseRepresentation
bin10101101101111111…
…111011100100111000
32020012020021121012201
4111231333323210320
5340224444441440
614414015115544
71453620245110
oct255577734470
966166247181
1023320312120
119987787726
124629b12bb4
13227854c471
1411b326c040
159174d219a
hex56dffb938

23320312120 has 128 divisors (see below), whose sum is σ = 62279078400. Its totient is φ = 7692765696.

The previous prime is 23320312087. The next prime is 23320312129. The reversal of 23320312120 is 2121302332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320312129) by changing a digit.

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, 792226 + ... + 821134.

It is an arithmetic number, because the mean of its divisors is an integer number (486555300).

Almost surely, 223320312120 is an apocalyptic number.

23320312120 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 23320312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31139539200).

23320312120 is an abundant number, since it is smaller than the sum of its proper divisors (38958766280).

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

23320312120 is a wasteful number, since it uses less digits than its factorization.

23320312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29037 (or 29033 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23320312120 its reverse (2121302332), we get a palindrome (25441614452).

The spelling of 23320312120 in words is "twenty-three billion, three hundred twenty million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 67 70 86 134 140 172 215 268 280 301 335 344 430 469 536 602 670 860 938 1204 1340 1505 1720 1876 2345 2408 2680 2881 3010 3752 4690 5762 6020 9380 11524 12040 14405 18760 20167 23048 28810 28909 40334 57620 57818 80668 100835 115240 115636 144545 161336 201670 202363 231272 289090 403340 404726 578180 806680 809452 1011815 1156360 1243087 1618904 1936903 2023630 2486174 3873806 4047260 4972348 6215435 7747612 8094520 8701609 9684515 9944696 12430870 13558321 15495224 17403218 19369030 24861740 27116642 34806436 38738060 43508045 49723480 54233284 67791605 69612872 77476120 83286829 87016090 108466568 135583210 166573658 174032180 271166420 333147316 348064360 416434145 542332840 583007803 666294632 832868290 1166015606 1665736580 2332031212 2915039015 3331473160 4664062424 5830078030 11660156060 23320312120