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232021020311300 = 2252113146114759513
BaseRepresentation
bin110100110000010110011010…
…011111101111111100000100
31010102111222210211121010020202
4310300112122133233330010
5220402413022144430200
62141244552451550032
766604652115143363
oct6460263237577404
91112458724533222
10232021020311300
1167a24620210190
122203328a2bb318
139c60646b392cc
144141c3d45d7da
151bc55ec4561d5
hexd3059a7eff04

232021020311300 has 144 divisors (see below), whose sum is σ = 568204921557504. Its totient is φ = 81472506240000.

The previous prime is 232021020311261. The next prime is 232021020311317. The reversal of 232021020311300 is 3113020120232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8340344 + ... + 23099856.

It is an arithmetic number, because the mean of its divisors is an integer number (3945867510816).

Almost surely, 2232021020311300 is an apocalyptic number.

232021020311300 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 232021020311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284102460778752).

232021020311300 is an abundant number, since it is smaller than the sum of its proper divisors (336183901246204).

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

232021020311300 is a wasteful number, since it uses less digits than its factorization.

232021020311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760030 (or 14760023 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 232021020311300 its reverse (3113020120232), we get a palindrome (235134040431532).

The spelling of 232021020311300 in words is "two hundred thirty-two trillion, twenty-one billion, twenty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 461 550 620 682 775 922 1100 1364 1550 1705 1844 2305 3100 3410 4610 5071 6820 8525 9220 10142 11525 14291 17050 20284 23050 25355 28582 34100 46100 50710 57164 71455 101420 126775 142910 157201 253550 285820 314402 357275 507100 628804 714550 786005 1429100 1572010 3144020 3930025 7860050 14759513 15720100 29519026 59038052 73797565 147595130 162354643 295190260 324709286 368987825 457544903 649418572 737975650 811773215 915089806 1475951300 1623546430 1830179612 2287724515 3247092860 4058866075 4575449030 5032993933 6804135493 8117732150 9150898060 10065987866 11438622575 13608270986 16235464300 20131975732 22877245150 25164969665 27216541972 34020677465 45754490300 50329939330 68041354930 74845490423 100659878660 125824848325 136082709860 149690980846 170103387325 210928200283 251649696650 299381961692 340206774650 374227452115 421856400566 503299393300 680413549300 748454904230 843712801132 1054641001415 1496909808460 1871137260575 2109282002830 2320210203113 3742274521150 4218564005660 4640420406226 5273205007075 7484549042300 9280840812452 10546410014150 11601051015565 21092820028300 23202102031130 46404204062260 58005255077825 116010510155650 232021020311300