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113213231120 = 24511414372973
BaseRepresentation
bin110100101110000001…
…0001101000000010000
3101211020000200000211002
41221130002031000100
53323330041343440
6124002012241132
711115346405133
oct1513402150020
9354200600732
10113213231120
1144016a10220
1219b36a701a8
13a8a311bbb2
14569dc5421a
152e2925b115
hex1a5c08d010

113213231120 has 160 divisors (see below), whose sum is σ = 300998484864. Its totient is φ = 39229747200.

The previous prime is 113213231119. The next prime is 113213231123. The reversal of 113213231120 is 21132312311.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 113213231092 and 113213231101.

It is not an unprimeable number, because it can be changed into a prime (113213231123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1514954 + ... + 1587926.

Almost surely, 2113213231120 is an apocalyptic number.

113213231120 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 113213231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150499242432).

113213231120 is an abundant number, since it is smaller than the sum of its proper divisors (187785253744).

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

113213231120 is a wasteful number, since it uses less digits than its factorization.

113213231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73081 (or 73075 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113213231120 its reverse (21132312311), we get a palindrome (134345543431).

The spelling of 113213231120 in words is "one hundred thirteen billion, two hundred thirteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 43 44 55 80 82 86 88 110 164 172 176 205 215 220 328 344 410 430 440 451 473 656 688 820 860 880 902 946 1640 1720 1763 1804 1892 2255 2365 3280 3440 3526 3608 3784 4510 4730 7052 7216 7568 8815 9020 9460 14104 17630 18040 18920 19393 28208 35260 36080 37840 38786 70520 72973 77572 96965 141040 145946 155144 193930 291892 310288 364865 387860 583784 729730 775720 802703 1167568 1459460 1551440 1605406 2918920 2991893 3137839 3210812 4013515 5837840 5983786 6275678 6421624 8027030 11967572 12551356 12843248 14959465 15689195 16054060 23935144 25102712 29918930 31378390 32108120 32910823 34516229 47870288 50205424 59837860 62756780 64216240 65821646 69032458 119675720 125513560 128651399 131643292 138064916 164554115 172581145 239351440 251027120 257302798 263286584 276129832 329108230 345162290 514605596 526573168 552259664 643256995 658216460 690324580 1029211192 1286513990 1316432920 1380649160 1415165389 2058422384 2573027980 2632865840 2761298320 2830330778 5146055960 5660661556 7075826945 10292111920 11321323112 14151653890 22642646224 28303307780 56606615560 113213231120