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113121303264 = 2532392782303
BaseRepresentation
bin110100101011010001…
…1100001101011100000
3101210222121200121111200
41221112203201223200
53323133023201024
6123544530041200
711113152132654
oct1512643415340
9353877617450
10113121303264
1143a7a032492
1219b10119200
13a88a073608
145691964a64
152e2114d2c9
hex1a568e1ae0

113121303264 has 36 divisors (see below), whose sum is σ = 321688706976. Its totient is φ = 37707100992.

The previous prime is 113121303263. The next prime is 113121303283. The reversal of 113121303264 is 462303121311.

It is a happy number.

113121303264 is a `hidden beast` number, since 11 + 312 + 13 + 0 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121303263) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 196390864 + ... + 196391439.

It is an arithmetic number, because the mean of its divisors is an integer number (8935797416).

Almost surely, 2113121303264 is an apocalyptic number.

It is an amenable number.

113121303264 is an abundant number, since it is smaller than the sum of its proper divisors (208567403712).

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

113121303264 is a wasteful number, since it uses less digits than its factorization.

113121303264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392782319 (or 392782308 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113121303264 its reverse (462303121311), we get a palindrome (575424424575).

The spelling of 113121303264 in words is "one hundred thirteen billion, one hundred twenty-one million, three hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 392782303 785564606 1178346909 1571129212 2356693818 3142258424 3535040727 4713387636 6284516848 7070081454 9426775272 12569033696 14140162908 18853550544 28280325816 37707101088 56560651632 113121303264