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113311020432 = 24361239161921
BaseRepresentation
bin110100110000111011…
…1001111010110010000
3101211110211200020112110
41221201313033112100
53324030110123212
6124015424225320
711120644532151
oct1514167172620
9354424606473
10113311020432
1144067131835
1219b6376b240
13a8ba46a3ac
1456acc2b928
152e32b25a3c
hex1a61dcf590

113311020432 has 80 divisors (see below), whose sum is σ = 298765520640. Its totient is φ = 36995481600.

The previous prime is 113311020413. The next prime is 113311020503. The reversal of 113311020432 is 234020113311.

It is a super-2 number, since 2×1133110204322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113311020399 and 113311020408.

It is an unprimeable number.

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, 618832 + ... + 780752.

It is an arithmetic number, because the mean of its divisors is an integer number (3734569008).

Almost surely, 2113311020432 is an apocalyptic number.

113311020432 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 113311020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149382760320).

113311020432 is an abundant number, since it is smaller than the sum of its proper divisors (185454500208).

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

113311020432 is a wasteful number, since it uses less digits than its factorization.

113311020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162232 (or 162226 counting only the distinct ones).

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

Adding to 113311020432 its reverse (234020113311), we get a palindrome (347331133743).

The spelling of 113311020432 in words is "one hundred thirteen billion, three hundred eleven million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 239 244 366 478 488 717 732 956 976 1434 1464 1912 2868 2928 3824 5736 11472 14579 29158 43737 58316 87474 116632 161921 174948 233264 323842 349896 485763 647684 699792 971526 1295368 1943052 2590736 3886104 7772208 9877181 19754362 29631543 38699119 39508724 59263086 77398238 79017448 116097357 118526172 154796476 158034896 232194714 237052344 309592952 464389428 474104688 619185904 928778856 1857557712 2360646259 4721292518 7081938777 9442585036 14163877554 18885170072 28327755108 37770340144 56655510216 113311020432