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113321213312 = 274155738767
BaseRepresentation
bin110100110001001111…
…0000111110110000000
3101211111112212002112112
41221202132013312000
53324040212311222
6124020430514452
711121130264046
oct1514236076600
9354445762475
10113321213312
11440719638aa
1219b67065a28
13a8bc5c8998
1456b0322396
152e3398abe2
hex1a62787d80

113321213312 has 64 divisors (see below), whose sum is σ = 231684546240. Its totient is φ = 55177973760.

The previous prime is 113321213303. The next prime is 113321213339. The reversal of 113321213312 is 213312123311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2903753 + ... + 2942519.

It is an arithmetic number, because the mean of its divisors is an integer number (3620071035).

Almost surely, 2113321213312 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 113321213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115842273120).

113321213312 is an abundant number, since it is smaller than the sum of its proper divisors (118363332928).

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

113321213312 is an equidigital number, since it uses as much as digits as its factorization.

113321213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39379 (or 39367 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

Adding to 113321213312 its reverse (213312123311), we get a palindrome (326633336623).

Subtracting 113321213312 from its reverse (213312123311), we obtain a palindrome (99990909999).

The spelling of 113321213312 in words is "one hundred thirteen billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 557 656 1114 1312 2228 2624 4456 5248 8912 17824 22837 35648 38767 45674 71296 77534 91348 155068 182696 310136 365392 620272 730784 1240544 1461568 1589447 2481088 2923136 3178894 4962176 6357788 12715576 21593219 25431152 43186438 50862304 86372876 101724608 172745752 203449216 345491504 690983008 885321979 1381966016 1770643958 2763932032 3541287916 7082575832 14165151664 28330303328 56660606656 113321213312