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23233321116330 = 23513257318772733
BaseRepresentation
bin1010100100001011011011…
…10110100010001010101010
310001021002021002120120002220
411102011231312202022222
511021123320201210310
6121225123530534510
74615360233032523
oct522055566421252
9101232232516086
1023233321116330
117448218095886
122732934297436
13cc6b7b591790
145a46da79584a
152a4542eec670
hex15216dda22aa

23233321116330 has 128 divisors (see below), whose sum is σ = 60302597983488. Its totient is φ = 5694852759552.

The previous prime is 23233321116311. The next prime is 23233321116347. The reversal of 23233321116330 is 3361112333232.

It is a junction number, because it is equal to n+sod(n) for n = 23233321116291 and 23233321116300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319396644 + ... + 319469376.

It is an arithmetic number, because the mean of its divisors is an integer number (471114046746).

Almost surely, 223233321116330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23233321116330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30151298991744).

23233321116330 is an abundant number, since it is smaller than the sum of its proper divisors (37069276867158).

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

23233321116330 is a wasteful number, since it uses less digits than its factorization.

23233321116330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76200.

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 23233321116330 its reverse (3361112333232), we get a palindrome (26594433449562).

The spelling of 23233321116330 in words is "twenty-three trillion, two hundred thirty-three billion, three hundred twenty-one million, one hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 257 390 514 771 1285 1542 2570 3187 3341 3855 6374 6682 7710 9561 10023 15935 16705 19122 20046 31870 33410 41431 47805 50115 72733 82862 95610 100230 124293 145466 207155 218199 248586 363665 414310 436398 621465 727330 819059 945529 1090995 1242930 1638118 1891058 2181990 2457177 2836587 4095295 4727645 4914354 5673174 8190590 9455290 10647767 12285885 14182935 18692381 21295534 24571770 28365870 31943301 37384762 53238835 56077143 63886602 93461905 106477670 112154286 159716505 186923810 231800071 243000953 280385715 319433010 463600142 486001906 560771430 695400213 729002859 1159000355 1215004765 1390800426 1458005718 2318000710 2430009530 3013400923 3477001065 3645014295 6026801846 6954002130 7290028590 9040202769 15067004615 18080405538 30134009230 45201013845 59572618247 90402027690 119145236494 178717854741 297863091235 357435709482 595726182470 774444037211 893589273705 1548888074422 1787178547410 2323332111633 3872220186055 4646664223266 7744440372110 11616660558165 23233321116330