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113434000224 = 2532357501317
BaseRepresentation
bin110100110100100110…
…0010111101101100000
3101211210102002021002120
41221221030113231200
53324303101001344
6124035540144240
711124000043626
oct1515114275540
9354712067076
10113434000224
114411a599326
1219b98998080
13a909a986bc
1456c12c1516
152e3d819219
hex1a69317b60

113434000224 has 48 divisors (see below), whose sum is σ = 297891176688. Its totient is φ = 37795215872.

The previous prime is 113434000223. The next prime is 113434000231. The reversal of 113434000224 is 422000434311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113434000194 and 113434000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113434000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24387 + ... + 476930.

It is an arithmetic number, because the mean of its divisors is an integer number (6206066181).

Almost surely, 2113434000224 is an apocalyptic number.

It is an amenable number.

113434000224 is an abundant number, since it is smaller than the sum of its proper divisors (184457176464).

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

113434000224 is a wasteful number, since it uses less digits than its factorization.

113434000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503687 (or 503679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 113434000224 its reverse (422000434311), we get a palindrome (535434434535).

The spelling of 113434000224 in words is "one hundred thirteen billion, four hundred thirty-four million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2357 4714 7071 9428 14142 18856 28284 37712 56568 75424 113136 226272 501317 1002634 1503951 2005268 3007902 4010536 6015804 8021072 12031608 16042144 24063216 48126432 1181604169 2363208338 3544812507 4726416676 7089625014 9452833352 14179250028 18905666704 28358500056 37811333408 56717000112 113434000224