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200231303320100 = 225213863391945541
BaseRepresentation
bin101101100001101111111011…
…101101010001001000100100
3222020221220222210122011111202
4231201233323231101020210
5202221042202122220400
61545504554010222032
760114143233146443
oct5541577355211044
9866856883564452
10200231303320100
1158888689783228
121a55a202424918
1387959669a1370
143763365296d5a
1518237207864d5
hexb61bfbb51224

200231303320100 has 144 divisors (see below), whose sum is σ = 468597187860480. Its totient is φ = 73825425907200.

The previous prime is 200231303320021. The next prime is 200231303320109. The reversal of 200231303320100 is 1023303132002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (200231303320109) 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, 4396703330 + ... + 4396748870.

It is an arithmetic number, because the mean of its divisors is an integer number (3254147137920).

Almost surely, 2200231303320100 is an apocalyptic number.

200231303320100 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 200231303320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234298593930240).

200231303320100 is an abundant number, since it is smaller than the sum of its proper divisors (268365884540380).

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

200231303320100 is a wasteful number, since it uses less digits than its factorization.

200231303320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50350 (or 50343 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 200231303320100 its reverse (1023303132002), we get a palindrome (201254606452102).

The spelling of 200231303320100 in words is "two hundred trillion, two hundred thirty-one billion, three hundred three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 863 1300 1726 3452 3919 4315 7838 8630 11219 15676 17260 19595 21575 22438 39190 43150 44876 45541 50947 56095 78380 86300 91082 97975 101894 112190 182164 195950 203788 224380 227705 254735 280475 391900 455410 509470 560950 592033 910820 1018940 1121900 1138525 1184066 1273675 2277050 2368132 2547350 2960165 3382097 4554100 5094700 5920330 6764194 11840660 13528388 14800825 16910485 29601650 33820970 39301883 43967261 59203300 67641940 78603766 84552425 87934522 157207532 169104850 175869044 178475179 196509415 219836305 338209700 356950358 393018830 439672610 510924479 713900716 786037660 879345220 892375895 982547075 1021848958 1099181525 1784751790 1965094150 2043697916 2198363050 2320177327 2554622395 3569503580 3930188300 4396726100 4461879475 4640354654 5109244790 8923758950 9280709308 10218489580 11600886635 12773111975 17847517900 23201773270 25546223950 46403546540 51092447900 58004433175 116008866350 154024079477 232017732700 308048158954 616096317908 770120397385 1540240794770 2002313033201 3080481589540 3850601986925 4004626066402 7701203973850 8009252132804 10011565166005 15402407947700 20023130332010 40046260664020 50057825830025 100115651660050 200231303320100