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23300363130 = 23511431918597
BaseRepresentation
bin10101101100110011…
…110101001101111010
32020010211202002100020
4111230303311031322
5340204343110010
614412023351310
71453255550562
oct255463651572
966124662306
1023300363130
1199774a1760
1246232b2536
132274386325
1411b0757da2
15915891470
hex56ccf537a

23300363130 has 128 divisors (see below), whose sum is σ = 62757421056. Its totient is φ = 5487686400.

The previous prime is 23300363117. The next prime is 23300363147. The reversal of 23300363130 is 3136300332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23300363130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2705992 + ... + 2714588.

It is an arithmetic number, because the mean of its divisors is an integer number (490292352).

Almost surely, 223300363130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23300363130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31378710528).

23300363130 is an abundant number, since it is smaller than the sum of its proper divisors (39457057926).

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

23300363130 is a wasteful number, since it uses less digits than its factorization.

23300363130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 23300363130 its reverse (3136300332), we get a palindrome (26436663462).

The spelling of 23300363130 in words is "twenty-three billion, three hundred million, three hundred sixty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 191 215 258 330 382 430 473 573 645 946 955 1146 1290 1419 1910 2101 2365 2838 2865 4202 4730 5730 6303 7095 8213 8597 10505 12606 14190 16426 17194 21010 24639 25791 31515 41065 42985 49278 51582 63030 82130 85970 90343 94567 123195 128955 180686 189134 246390 257910 271029 283701 369671 451715 472835 542058 567402 739342 903430 945670 1109013 1355145 1418505 1642027 1848355 2218026 2710290 2837010 3284054 3696710 4066381 4926081 5545065 8132762 8210135 9852162 11090130 12199143 16420270 18062297 20331905 24398286 24630405 36124594 40663810 49260810 54186891 60995715 70607161 90311485 108373782 121991430 141214322 180622970 211821483 270934455 353035805 423642966 541868910 706071610 776678771 1059107415 1553357542 2118214830 2330036313 3883393855 4660072626 7766787710 11650181565 23300363130