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23323113032120 = 23511271565134613
BaseRepresentation
bin1010100110110010101011…
…10111100000100110111000
310001120200000211220111100122
411103121111313200212320
511024111213414011440
6121334253515152412
74625016324521546
oct523312567404670
9101520024814318
1023323113032120
117482305302150
122748213445708
13100248b258bb5
145a8bb7ba8d96
152a6a4ae747b5
hex153655de09b8

23323113032120 has 128 divisors (see below), whose sum is σ = 57470715233280. Its totient is φ = 8448096960000.

The previous prime is 23323113032083. The next prime is 23323113032161. The reversal of 23323113032120 is 2123031132332.

It is a self number, because there is not a number n which added to its sum of digits gives 23323113032120.

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, 673807934 + ... + 673842546.

It is an arithmetic number, because the mean of its divisors is an integer number (448989962760).

Almost surely, 223323113032120 is an apocalyptic number.

23323113032120 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 23323113032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28735357616640).

23323113032120 is an abundant number, since it is smaller than the sum of its proper divisors (34147602201160).

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

23323113032120 is a wasteful number, since it uses less digits than its factorization.

23323113032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40557 (or 40553 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 23323113032120 its reverse (2123031132332), we get a palindrome (25446144164452).

The spelling of 23323113032120 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred thirteen million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 271 440 542 1084 1355 2168 2710 2981 5420 5651 5962 10840 11302 11924 14905 22604 23848 28255 29810 34613 45208 56510 59620 62161 69226 113020 119240 124322 138452 173065 226040 248644 276904 310805 346130 380743 497288 621610 692260 761486 1243220 1384520 1522972 1531421 1903715 2486440 3045944 3062842 3807430 6125684 7614860 7657105 9380123 12251368 15229720 15314210 16845631 18760246 30628420 33691262 37520492 46900615 61256840 67382524 75040984 84228155 93801230 103181353 134765048 168456310 187602460 195598063 206362706 336912620 375204920 391196126 412725412 515906765 673825240 782392252 825450824 977990315 1031813530 1564784504 1955980630 2063627060 2151578693 3911961260 4127254120 4303157386 7823922520 8606314772 10757893465 17212629544 21515786930 43031573860 53007075073 86063147720 106014150146 212028300292 265035375365 424056600584 530070750730 583077825803 1060141501460 1166155651606 2120283002920 2332311303212 2915389129015 4664622606424 5830778258030 11661556516060 23323113032120