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23021301300 = 22352432297793
BaseRepresentation
bin10101011100001011…
…010010111000110100
32012102101122021110220
4111130023102320310
5334121423120200
614324214214340
71443326555334
oct253413227064
965371567426
1023021301300
119843a19448
1245659543b0
13222b60999a
1411856750c4
158eb11b4a0
hex55c2d2e34

23021301300 has 144 divisors (see below), whose sum is σ = 68463743040. Its totient is φ = 5969295360.

The previous prime is 23021301293. The next prime is 23021301337. The reversal of 23021301300 is 310312032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23021301300.

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 47 ways as a sum of consecutive naturals, for example, 2950204 + ... + 2957996.

It is an arithmetic number, because the mean of its divisors is an integer number (475442660).

Almost surely, 223021301300 is an apocalyptic number.

23021301300 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 23021301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231871520).

23021301300 is an abundant number, since it is smaller than the sum of its proper divisors (45442441740).

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

23021301300 is a wasteful number, since it uses less digits than its factorization.

23021301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23021301300 its reverse (310312032), we get a palindrome (23331613332).

The spelling of 23021301300 in words is "twenty-three billion, twenty-one million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 229 258 300 430 458 516 645 687 860 916 1075 1145 1290 1374 2150 2290 2580 2748 3225 3435 4300 4580 5725 6450 6870 7793 9847 11450 12900 13740 15586 17175 19694 22900 23379 29541 31172 34350 38965 39388 46758 49235 59082 68700 77930 93516 98470 116895 118164 147705 155860 194825 196940 233790 246175 295410 335099 389650 467580 492350 584475 590820 670198 738525 779300 984700 1005297 1168950 1340396 1477050 1675495 1784597 2010594 2337900 2954100 3350990 3569194 4021188 5026485 5353791 6701980 7138388 8377475 8922985 10052970 10707582 16754950 17845970 20105940 21415164 25132425 26768955 33509900 35691940 44614925 50264850 53537910 76737671 89229850 100529700 107075820 133844775 153475342 178459700 230213013 267689550 306950684 383688355 460426026 535379100 767376710 920852052 1151065065 1534753420 1918441775 2302130130 3836883550 4604260260 5755325325 7673767100 11510650650 23021301300