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113223103232 = 284359174331
BaseRepresentation
bin110100101110010011…
…1110111001100000000
3101211020201020120210212
41221130213313030000
53323340103300412
6124003004013252
711115526332611
oct1513447671400
9354221216725
10113223103232
1144021543298
1219b3a231228
13a8a5197495
1456a12a3c08
152e2a05b222
hex1a5c9f7300

113223103232 has 72 divisors (see below), whose sum is σ = 235180841280. Its totient is φ = 54357488640.

The previous prime is 113223103219. The next prime is 113223103241. The reversal of 113223103232 is 232301322311.

113223103232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1132231032322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113223103198 and 113223103207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562307 + ... + 736637.

Almost surely, 2113223103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113223103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117590420640).

113223103232 is an abundant number, since it is smaller than the sum of its proper divisors (121957738048).

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

113223103232 is an equidigital number, since it uses as much as digits as its factorization.

113223103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174449 (or 174435 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 113223103232 its reverse (232301322311), we get a palindrome (345524425543).

The spelling of 113223103232 in words is "one hundred thirteen billion, two hundred twenty-three million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 128 172 236 256 344 472 688 944 1376 1888 2537 2752 3776 5074 5504 7552 10148 11008 15104 20296 40592 81184 162368 174331 324736 348662 649472 697324 1394648 2789296 5578592 7496233 10285529 11157184 14992466 20571058 22314368 29984932 41142116 44628736 59969864 82284232 119939728 164568464 239879456 329136928 442277747 479758912 658273856 884555494 959517824 1316547712 1769110988 1919035648 2633095424 3538221976 7076443952 14152887904 28305775808 56611551616 113223103232