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23330023020330 = 23513257587396533
BaseRepresentation
bin1010100110111111100011…
…01111000001011100101010
310001121022212102021021011220
411103133301233001130222
511024214341343122310
6121341355320202510
74625352501456015
oct523376157013452
9101538772237156
1023330023020330
117485230867604
122749621609436
13100301ca07710
145a92717b437c
152a6d0290d670
hex1537f1bc172a

23330023020330 has 128 divisors (see below), whose sum is σ = 60637040287488. Its totient is φ = 5710669873152.

The previous prime is 23330023020251. The next prime is 23330023020331. The reversal of 23330023020330 is 3302032003332.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23330023020330.

It is not an unprimeable number, because it can be changed into a prime (23330023020331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58636744 + ... + 59033276.

It is an arithmetic number, because the mean of its divisors is an integer number (473726877246).

Almost surely, 223330023020330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23330023020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30318520143744).

23330023020330 is an abundant number, since it is smaller than the sum of its proper divisors (37307017267158).

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

23330023020330 is a wasteful number, since it uses less digits than its factorization.

23330023020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397400.

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 23330023020330 its reverse (3302032003332), we get a palindrome (26632055023662).

The spelling of 23330023020330 in words is "twenty-three trillion, three hundred thirty billion, twenty-three million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 257 390 514 587 771 1174 1285 1542 1761 2570 2935 3341 3522 3855 5870 6682 7631 7710 8805 10023 15262 16705 17610 20046 22893 33410 38155 45786 50115 76310 100230 114465 150859 228930 301718 396533 452577 754295 793066 905154 1189599 1508590 1961167 1982665 2262885 2379198 3922334 3965330 4525770 5154929 5883501 5947995 9805835 10309858 11767002 11895990 15464787 19611670 25774645 29417505 30929574 51549290 58835010 77323935 101908981 154647870 203817962 232764871 305726943 465529742 509544905 611453886 698294613 1019089810 1163824355 1324816753 1396589226 1528634715 2327648710 2649633506 3025943323 3057269430 3491473065 3974450259 6051886646 6624083765 6982946130 7948900518 9077829969 13248167530 15129716615 18155659938 19872251295 30259433230 39744502590 45389149845 59820571847 90778299690 119641143694 179461715541 299102859235 358923431082 598205718470 777667434011 897308577705 1555334868022 1794617155410 2333002302033 3888337170055 4666004604066 7776674340110 11665011510165 23330023020330