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23024020423300 = 225213139321739607
BaseRepresentation
bin1010011110000101100101…
…00011110000001010000100
310000112002000120101201022021
411033002302203300022010
511004211143212021200
6120545031114412524
74564300455350431
oct517026243601204
9100462016351267
1023024020423300
117377483326316
1226ba261a31144
13cb0204410c60
14598523388b88
1529dd932a241a
hex14f0b28f0284

23024020423300 has 144 divisors (see below), whose sum is σ = 54210667934080. Its totient is φ = 8437180631040.

The previous prime is 23024020423291. The next prime is 23024020423307. The reversal of 23024020423300 is 332402042032.

It is a super-2 number, since 2×230240204233002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23024020423307) 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, 581292097 + ... + 581331703.

Almost surely, 223024020423300 is an apocalyptic number.

23024020423300 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 23024020423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27105333967040).

23024020423300 is an abundant number, since it is smaller than the sum of its proper divisors (31186647510780).

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

23024020423300 is a wasteful number, since it uses less digits than its factorization.

23024020423300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42990 (or 42983 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 23024020423300 its reverse (332402042032), we get a palindrome (23356422465332).

The spelling of 23024020423300 in words is "twenty-three trillion, twenty-four billion, twenty million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 139 260 278 325 556 650 695 1300 1390 1807 2780 3217 3475 3614 6434 6950 7228 9035 12868 13900 16085 18070 32170 36140 39607 41821 45175 64340 79214 80425 83642 90350 158428 160850 167284 180700 198035 209105 321700 396070 418210 447163 514891 792140 836420 894326 990175 1029782 1045525 1788652 1980350 2059564 2091050 2235815 2574455 3960700 4182100 4471630 5148910 5505373 5813119 8943260 10297820 11010746 11179075 11626238 12872275 22021492 22358150 23252476 25744550 27526865 29065595 44716300 51489100 55053730 58131190 71569849 110107460 116262380 127415719 137634325 143139698 145327975 254831438 275268650 286279396 290655950 357849245 509662876 550537300 581311900 637078595 715698490 1274157190 1431396980 1656404347 1789246225 2548314380 3185392975 3312808694 3578492450 6370785950 6625617388 7156984900 8282021735 12741571900 16564043470 17710784941 33128086940 35421569882 41410108675 70843139764 82820217350 88553924705 165640434700 177107849410 230240204233 354215698820 442769623525 460480408466 885539247050 920960816932 1151201021165 1771078494100 2302402042330 4604804084660 5756005105825 11512010211650 23024020423300