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23201031300 = 223523717911677
BaseRepresentation
bin10101100110111000…
…111010010010000100
32012212220211111200120
4111212320322102010
5340003431000200
614354114341540
71450641340446
oct254670722204
965786744616
1023201031300
119926417237
1245b5b8a8b0
1322599179b5
1411a149c496
1590bcbe9a0
hex566e3a484

23201031300 has 144 divisors (see below), whose sum is σ = 69333687360. Its totient is φ = 5985584640.

The previous prime is 23201031257. The next prime is 23201031307. The reversal of 23201031300 is 313010232.

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 23201031300.

It is not an unprimeable number, because it can be changed into a prime (23201031307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1981062 + ... + 1992738.

It is an arithmetic number, because the mean of its divisors is an integer number (481483940).

Almost surely, 223201031300 is an apocalyptic number.

23201031300 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 23201031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34666843680).

23201031300 is an abundant number, since it is smaller than the sum of its proper divisors (46132656060).

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

23201031300 is a wasteful number, since it uses less digits than its factorization.

23201031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11910 (or 11903 counting only the distinct ones).

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

Adding to 23201031300 its reverse (313010232), we get a palindrome (23514041532).

The spelling of 23201031300 in words is "twenty-three billion, two hundred one million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 179 185 222 300 358 370 444 537 555 716 740 895 925 1074 1110 1790 1850 2148 2220 2685 2775 3580 3700 4475 5370 5550 6623 8950 10740 11100 11677 13246 13425 17900 19869 23354 26492 26850 33115 35031 39738 46708 53700 58385 66230 70062 79476 99345 116770 132460 140124 165575 175155 198690 233540 291925 331150 350310 397380 432049 496725 583850 662300 700620 864098 875775 993450 1167700 1296147 1728196 1751550 1986900 2090183 2160245 2592294 3503100 4180366 4320490 5184588 6270549 6480735 8360732 8640980 10450915 10801225 12541098 12961470 20901830 21602450 25082196 25922940 31352745 32403675 41803660 43204900 52254575 62705490 64807350 77336771 104509150 125410980 129614700 154673542 156763725 209018300 232010313 309347084 313527450 386683855 464020626 627054900 773367710 928041252 1160051565 1546735420 1933419275 2320103130 3866838550 4640206260 5800257825 7733677100 11600515650 23201031300