Search a number
-
+
113321212330100 = 22525371547550541
BaseRepresentation
bin11001110001000010100110…
…100110110100000001110100
3112212020101212010111002210212
4121301002212212310001310
5104323123320324030400
61041003013554204552
732604121165524305
oct3161024646640164
9485211763432725
10113321212330100
113312029009a795
12108624b0883758
134b301b5528378
141ddaac12807ac
15d17b28a05335
hex6710a69b4074

113321212330100 has 144 divisors (see below), whose sum is σ = 254540565611136. Its totient is φ = 43766608704000.

The previous prime is 113321212330069. The next prime is 113321212330133. The reversal of 113321212330100 is 1033212123311.

It is a congruent number.

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, 205560830 + ... + 206111370.

It is an arithmetic number, because the mean of its divisors is an integer number (1767642816744).

Almost surely, 2113321212330100 is an apocalyptic number.

113321212330100 is a gapful number since it is divisible by the number (10) 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 113321212330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127270282805568).

113321212330100 is an abundant number, since it is smaller than the sum of its proper divisors (141219353281036).

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

113321212330100 is a wasteful number, since it uses less digits than its factorization.

113321212330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551226 (or 551219 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 113321212330100 its reverse (1033212123311), we get a palindrome (114354424453411).

The spelling of 113321212330100 in words is "one hundred thirteen trillion, three hundred twenty-one billion, two hundred twelve million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 71 100 106 142 212 265 284 355 530 547 710 1060 1094 1325 1420 1775 2188 2650 2735 3550 3763 5300 5470 7100 7526 10940 13675 15052 18815 27350 28991 37630 38837 54700 57982 75260 77674 94075 115964 144955 155348 188150 194185 289910 376300 388370 550541 579820 724775 776740 970925 1101082 1449550 1941850 2058361 2202164 2752705 2899100 3883700 4116722 5505410 8233444 10291805 11010820 13763525 20583610 27527050 29178673 39088411 41167220 51459025 55054100 58357346 78176822 102918050 116714692 145893365 156353644 195442055 205836100 291786730 301145927 390884110 583573460 602291854 729466825 781768220 977210275 1204583708 1458933650 1505729635 1954420550 2071685783 2917867300 3011459270 3908841100 4143371566 6022918540 7528648175 8286743132 10358428915 15057296350 15960734131 20716857830 21381360817 30114592700 31921468262 41433715660 42762721634 51792144575 63842936524 79803670655 85525443268 103584289150 106906804085 159607341310 207168578300 213813608170 319214682620 399018353275 427627216340 534534020425 798036706550 1069068040850 1133212123301 1596073413100 2138136081700 2266424246602 4532848493204 5666060616505 11332121233010 22664242466020 28330303082525 56660606165050 113321212330100