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113101233312 = 2532997418819
BaseRepresentation
bin110100101010101011…
…0111101110010100000
3101210221012220221201010
41221111112331302200
53323112403431222
6123542531540520
711112516422664
oct1512526756240
9353835827633
10113101233312
1143a69774651
1219b0545a740
13a885b673c2
14568d01c8a4
152e1e4d680c
hex1a555bdca0

113101233312 has 96 divisors (see below), whose sum is σ = 310295361600. Its totient is φ = 36025049088.

The previous prime is 113101233251. The next prime is 113101233313. The reversal of 113101233312 is 213332101311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (113101233313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60639 + ... + 479457.

It is an arithmetic number, because the mean of its divisors is an integer number (3232243350).

Almost surely, 2113101233312 is an apocalyptic number.

113101233312 is a gapful number since it is divisible by the number (12) 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 113101233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155147680800).

113101233312 is an abundant number, since it is smaller than the sum of its proper divisors (197194128288).

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

113101233312 is a wasteful number, since it uses less digits than its factorization.

113101233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418958 (or 418950 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113101233312 its reverse (213332101311), we get a palindrome (326433334623).

The spelling of 113101233312 in words is "one hundred thirteen billion, one hundred one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 97 116 174 194 232 291 348 388 464 582 696 776 928 1164 1392 1552 2328 2784 2813 3104 4656 5626 8439 9312 11252 16878 22504 33756 45008 67512 90016 135024 270048 418819 837638 1256457 1675276 2512914 3350552 5025828 6701104 10051656 12145751 13402208 20103312 24291502 36437253 40206624 40625443 48583004 72874506 81250886 97166008 121876329 145749012 162501772 194332016 243752658 291498024 325003544 388664032 487505316 582996048 650007088 975010632 1165992096 1178137847 1300014176 1950021264 2356275694 3534413541 3900042528 4712551388 7068827082 9425102776 14137654164 18850205552 28275308328 37700411104 56550616656 113101233312