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113313321302300 = 225271014999320611
BaseRepresentation
bin11001110000111011010000…
…010000111011100100011100
3112212012122111012010100122222
4121300323100100323210130
5104323011140223133200
61040555230550124512
732603421510065330
oct3160732020734434
9485178435110588
10113313321302300
1133117a00891809
1210860a6a050738
134b2c52874a852
141dda5732617c0
15d17815d82d85
hex670ed043b91c

113313321302300 has 144 divisors (see below), whose sum is σ = 283857040320000. Its totient is φ = 38457810720000.

The previous prime is 113313321302297. The next prime is 113313321302327. The reversal of 113313321302300 is 3203123313311.

It is a self number, because there is not a number n which added to its sum of digits gives 113313321302300.

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, 353268995 + ... + 353589605.

Almost surely, 2113313321302300 is an apocalyptic number.

113313321302300 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 113313321302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141928520160000).

113313321302300 is an abundant number, since it is smaller than the sum of its proper divisors (170543719017700).

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

113313321302300 is a wasteful number, since it uses less digits than its factorization.

113313321302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325732 (or 325725 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 113313321302300 its reverse (3203123313311), we get a palindrome (116516444615611).

The spelling of 113313321302300 in words is "one hundred thirteen trillion, three hundred thirteen billion, three hundred twenty-one million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 4999 5050 7070 9998 10100 14140 17675 19996 24995 34993 35350 49990 69986 70700 99980 124975 139972 174965 249950 320611 349930 499900 504899 641222 699860 874825 1009798 1282444 1603055 1749650 2019596 2244277 2524495 3206110 3499300 3534293 4488554 5048990 6412220 7068586 8015275 8977108 10097980 11221385 12622475 14137172 16030550 17671465 22442770 25244950 32061100 32381711 35342930 44885540 50489900 56106925 64763422 70685860 88357325 112213850 129526844 161908555 176714650 224427700 226671977 323817110 353429300 453343954 647634220 809542775 906687908 1133359885 1602734389 1619085550 2266719770 3205468778 3238171100 4533439540 5666799425 6410937556 8013671945 11219140723 11333598850 16027343890 22438281446 22667197700 32054687780 40068359725 44876562892 56095703615 80136719450 112191407230 160273438900 161876173289 224382814460 280478518075 323752346578 560957036150 647504693156 809380866445 1121914072300 1133133213023 1618761732890 2266266426046 3237523465780 4046904332225 4532532852092 5665666065115 8093808664450 11331332130230 16187617328900 22662664260460 28328330325575 56656660651150 113313321302300