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231300200133030 = 23574633463686947
BaseRepresentation
bin110100100101110111000110…
…010000111111000110100110
31010022222002020122021002012010
4310211313012100333012212
5220304110302213224110
62135533502305535050
766501613403545560
oct6445670620770646
91108862218232163
10231300200133030
1167776955a9a496
1221b37641044486
139c0a6910c8272
144118dbcd74330
151bb19b0622020
hexd25dc643f1a6

231300200133030 has 128 divisors (see below), whose sum is σ = 635978173022208. Its totient is φ = 52739119585152.

The previous prime is 231300200133011. The next prime is 231300200133059. The reversal of 231300200133030 is 30331002003132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 231300200132988 and 231300200133006.

It is a congruent number.

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, 336364017 + ... + 337050963.

It is an arithmetic number, because the mean of its divisors is an integer number (4968579476736).

Almost surely, 2231300200133030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231300200133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317989086511104).

231300200133030 is an abundant number, since it is smaller than the sum of its proper divisors (404677972889178).

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

231300200133030 is a wasteful number, since it uses less digits than its factorization.

231300200133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690890.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 231300200133030 its reverse (30331002003132), we get a palindrome (261631202136162).

The spelling of 231300200133030 in words is "two hundred thirty-one trillion, three hundred billion, two hundred million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 463 926 1389 2315 2778 3241 3463 4630 6482 6926 6945 9723 10389 13890 16205 17315 19446 20778 24241 32410 34630 48482 48615 51945 72723 97230 103890 121205 145446 242410 363615 686947 727230 1373894 1603369 2060841 3206738 3434735 4121682 4808629 4810107 6869470 8016845 9617258 9620214 10304205 11223583 14425887 16033690 20608410 22447166 24043145 24050535 28851774 33670749 48086290 48101070 56117915 67341498 72129435 112235830 144258870 168353745 318056461 336707490 636112922 954169383 1590282305 1908338766 2226395227 2378897461 3180564610 4452790454 4757794922 4770846915 6679185681 7136692383 9541693830 11131976135 11894487305 13358371362 14273384766 16652282227 22263952270 23788974610 33304564454 33395928405 35683461915 49956846681 66791856810 71366923830 83261411135 99913693362 166522822270 249784233405 499568466810 1101429524443 2202859048886 3304288573329 5507147622215 6608577146658 7710006671101 11014295244430 15420013342202 16521442866645 23130020013303 33042885733290 38550033355505 46260040026606 77100066711010 115650100066515 231300200133030