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203232013101320 = 23572233539220501
BaseRepresentation
bin101110001101011010100011…
…111100101010100100001000
3222122120210100102111001202012
4232031122203330222210020
5203114223130323220240
62000123255314555052
760544012512353540
oct5615324374524410
9878523312431665
10203232013101320
115983523816a055
121a963885b98a88
138952909586748
1438286a6552320
1518767e7480b65
hexb8d6a3f2a908

203232013101320 has 128 divisors (see below), whose sum is σ = 526427227146240. Its totient is φ = 69170568192000.

The previous prime is 203232013101283. The next prime is 203232013101331. The reversal of 203232013101320 is 23101310232302.

It is a super-2 number, since 2×2032320131013202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17431070 + ... + 26651570.

It is an arithmetic number, because the mean of its divisors is an integer number (4112712712080).

Almost surely, 2203232013101320 is an apocalyptic number.

203232013101320 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 203232013101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263213613573120).

203232013101320 is an abundant number, since it is smaller than the sum of its proper divisors (323195214044920).

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

203232013101320 is a wasteful number, since it uses less digits than its factorization.

203232013101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221095 (or 9221091 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 203232013101320 its reverse (23101310232302), we get a palindrome (226333323333622).

The spelling of 203232013101320 in words is "two hundred three trillion, two hundred thirty-two billion, thirteen million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 223 280 353 446 706 892 1115 1412 1561 1765 1784 2230 2471 2824 3122 3530 4460 4942 6244 7060 7805 8920 9884 12355 12488 14120 15610 19768 24710 31220 49420 62440 78719 98840 157438 314876 393595 551033 629752 787190 1102066 1574380 2204132 2755165 3148760 4408264 5510330 9220501 11020660 18441002 22041320 36882004 46102505 64543507 73764008 92205010 129087014 184410020 258174028 322717535 368820040 516348056 645435070 1290870140 2056171723 2581740280 3254836853 4112343446 6509673706 8224686892 10280858615 13019347412 14393202061 16274184265 16449373784 20561717230 22783857971 26038694824 28786404122 32548368530 41123434460 45567715942 57572808244 65096737060 71966010305 82246868920 91135431884 113919289855 115145616488 130193474120 143932020610 182270863768 227838579710 287864041220 455677159420 575728082440 725828618219 911354318840 1451657236438 2903314472876 3629143091095 5080800327533 5806628945752 7258286182190 10161600655066 14516572364380 20323201310132 25404001637665 29033144728760 40646402620264 50808003275330 101616006550660 203232013101320