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113133014040 = 233519109455227
BaseRepresentation
bin110100101011101000…
…0001100110000011000
3101211000102201120200010
41221113100030300120
53323144022422130
6123550025041520
711113353516114
oct1512720146030
9354012646603
10113133014040
1143a85700a12
1219b140262a0
13a88c613a77
145693332744
152e221b30b0
hex1a5740cc18

113133014040 has 128 divisors (see below), whose sum is σ = 360540576000. Its totient is φ = 28318699008.

The previous prime is 113133014003. The next prime is 113133014089. The reversal of 113133014040 is 40410331311.

It is a junction number, because it is equal to n+sod(n) for n = 113133013998 and 113133014016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20907 + ... + 476133.

It is an arithmetic number, because the mean of its divisors is an integer number (2816723250).

Almost surely, 2113133014040 is an apocalyptic number.

113133014040 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 113133014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180270288000).

113133014040 is an abundant number, since it is smaller than the sum of its proper divisors (247407561960).

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

113133014040 is a wasteful number, since it uses less digits than its factorization.

113133014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455369 (or 455365 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113133014040 its reverse (40410331311), we get a palindrome (153543345351).

The spelling of 113133014040 in words is "one hundred thirteen billion, one hundred thirty-three million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 545 570 654 760 872 1090 1140 1308 1635 2071 2180 2280 2616 3270 4142 4360 6213 6540 8284 10355 12426 13080 16568 20710 24852 31065 41420 49704 62130 82840 124260 248520 455227 910454 1365681 1820908 2276135 2731362 3641816 4552270 5462724 6828405 8649313 9104540 10925448 13656810 17298626 18209080 25947939 27313620 34597252 43246565 49619743 51895878 54627240 69194504 86493130 99239486 103791756 129739695 148859229 172986260 198478972 207583512 248098715 259479390 297718458 345972520 396957944 496197430 518958780 595436916 744296145 942775117 992394860 1037917560 1190873832 1488592290 1885550234 1984789720 2828325351 2977184580 3771100468 4713875585 5656650702 5954369160 7542200936 9427751170 11313301404 14141626755 18855502340 22626602808 28283253510 37711004680 56566507020 113133014040