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113110333020 = 223253131165179
BaseRepresentation
bin110100101010111100…
…1101011011001011100
3101210221212001021011100
41221111321223121130
53323122221124040
6123543454553100
711112656652516
oct1512571533134
9353855037140
10113110333020
1143a7391a373
1219b08508790
13a887a02249
14569030abb6
152e201d2b30
hex1a55e6b65c

113110333020 has 144 divisors (see below), whose sum is σ = 355313387520. Its totient is φ = 29095459200.

The previous prime is 113110333013. The next prime is 113110333079. The reversal of 113110333020 is 20333011311.

It is a happy number.

113110333020 is a `hidden beast` number, since 1 + 1 + 311 + 0 + 3 + 330 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113110332984 and 113110333002.

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, 1702791 + ... + 1767969.

It is an arithmetic number, because the mean of its divisors is an integer number (2467454080).

Almost surely, 2113110333020 is an apocalyptic number.

113110333020 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 113110333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177656693760).

113110333020 is an abundant number, since it is smaller than the sum of its proper divisors (242203054500).

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

113110333020 is a wasteful number, since it uses less digits than its factorization.

113110333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65536 (or 65531 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113110333020 its reverse (20333011311), we get a palindrome (133443344331).

The spelling of 113110333020 in words is "one hundred thirteen billion, one hundred ten million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 311 372 465 558 620 622 930 933 1116 1244 1395 1555 1860 1866 2790 2799 3110 3732 4665 5580 5598 6220 9330 9641 11196 13995 18660 19282 27990 28923 38564 48205 55980 57846 65179 86769 96410 115692 130358 144615 173538 192820 195537 260716 289230 325895 347076 391074 433845 578460 586611 651790 782148 867690 977685 1173222 1303580 1735380 1955370 2020549 2346444 2933055 3910740 4041098 5866110 6061647 8082196 10102745 11732220 12123294 18184941 20205490 20270669 24246588 30308235 36369882 40410980 40541338 60616470 60812007 72739764 81082676 90924705 101353345 121232940 121624014 181849410 182436021 202706690 243248028 304060035 363698820 364872042 405413380 608120070 628390739 729744084 912180105 1216240140 1256781478 1824360210 1885172217 2513562956 3141953695 3648720420 3770344434 5655516651 6283907390 7540688868 9425861085 11311033302 12567814780 18851722170 22622066604 28277583255 37703444340 56555166510 113110333020