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23133302230020 = 2235151236314657
BaseRepresentation
bin1010100001010001001000…
…10000110000110000000100
310000220112002121101200201020
411100220210100300300010
511013004000332330040
6121111143051031140
74605216536364063
oct520504420606004
9100815077350636
1023133302230020
117409862030164
12271748013b4b0
13cba5cbb9b808
1459d92d01a1da
152a1b3c2d1cd0
hex150a24430c04

23133302230020 has 144 divisors (see below), whose sum is σ = 65237012193024. Its totient is φ = 6125023872000.

The previous prime is 23133302229997. The next prime is 23133302230117. The reversal of 23133302230020 is 2003220333132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4967423532 + ... + 4967428188.

It is an arithmetic number, because the mean of its divisors is an integer number (453034806896).

Almost surely, 223133302230020 is an apocalyptic number.

23133302230020 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 23133302230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32618506096512).

23133302230020 is an abundant number, since it is smaller than the sum of its proper divisors (42103709963004).

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

23133302230020 is a wasteful number, since it uses less digits than its factorization.

23133302230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23133302230020 its reverse (2003220333132), we get a palindrome (25136522563152).

The spelling of 23133302230020 in words is "twenty-three trillion, one hundred thirty-three billion, three hundred two million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 3631 4530 4657 7262 9060 9314 10893 13971 14524 18155 18628 21786 22801 23285 27942 36310 43572 45602 46570 54465 55884 68403 69855 72620 91204 93140 108930 114005 136806 139710 217860 228010 273612 279420 342015 456020 548281 684030 703207 1096562 1368060 1406414 1644843 2109621 2193124 2741405 2812828 3289686 3516035 4219242 5482810 6579372 7032070 8224215 8438484 10548105 10965620 14064140 16448430 16909567 21096210 32896860 33819134 42192420 50728701 67638268 82790431 84547835 101457402 106184257 165580862 169095670 202914804 212368514 248371293 253643505 318552771 331161724 338191340 413952155 424737028 496742586 507287010 530921285 637105542 827904310 993485172 1014574020 1061842570 1241856465 1274211084 1592763855 1655808620 2123685140 2483712930 2553344617 3185527710 4967425860 5106689234 6371055420 7660033851 10213378468 12766723085 15320067702 25533446170 30640135404 38300169255 51066892340 76600338510 153200677020 385555037167 771110074334 1156665111501 1542220148668 1927775185835 2313330223002 3855550371670 4626660446004 5783325557505 7711100743340 11566651115010 23133302230020