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23321101620 = 22352371238019
BaseRepresentation
bin10101101110000010…
…111100010100110100
32020012021202201012110
4111232002330110310
5340230200222440
614414044051020
71453630043625
oct255602742464
966167681173
1023321101620
119988176903
12462a233a70
13227876791b
1411b33d5a4c
159175db080
hex56e0bc534

23321101620 has 96 divisors (see below), whose sum is σ = 69098158080. Its totient is φ = 5864763520.

The previous prime is 23321101607. The next prime is 23321101667. The reversal of 23321101620 is 2610112332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21030 + ... + 216989.

It is an arithmetic number, because the mean of its divisors is an integer number (719772480).

Almost surely, 223321101620 is an apocalyptic number.

23321101620 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 23321101620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34549079040).

23321101620 is an abundant number, since it is smaller than the sum of its proper divisors (45777056460).

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

23321101620 is a wasteful number, since it uses less digits than its factorization.

23321101620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238125 (or 238123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23321101620 its reverse (2610112332), we get a palindrome (25931213952).

The spelling of 23321101620 in words is "twenty-three billion, three hundred twenty-one million, one hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 213 230 276 284 345 355 426 460 690 710 852 1065 1380 1420 1633 2130 3266 4260 4899 6532 8165 9798 16330 19596 24495 32660 48990 97980 238019 476038 714057 952076 1190095 1428114 2380190 2856228 3570285 4760380 5474437 7140570 10948874 14281140 16423311 16899349 21897748 27372185 32846622 33798698 50698047 54744370 65693244 67597396 82116555 84496745 101396094 109488740 164233110 168993490 202792188 253490235 328466220 337986980 388685027 506980470 777370054 1013960940 1166055081 1554740108 1943425135 2332110162 3886850270 4664220324 5830275405 7773700540 11660550810 23321101620