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112304204334 = 23277317417013
BaseRepresentation
bin110100010010111011…
…0100010101000101110
3101201212200011200111100
41220211312202220232
53314444334014314
6123331500503530
711054000662230
oct1504566425056
9351780150440
10112304204334
114369a882a13
121992254aba6
13a7899b491a
145615228250
152dc4549c09
hex1a25da2a2e

112304204334 has 96 divisors (see below), whose sum is σ = 282098142144. Its totient is φ = 31624680960.

The previous prime is 112304204273. The next prime is 112304204413. The reversal of 112304204334 is 433402403211.

112304204334 is a `hidden beast` number, since 1 + 1 + 2 + 304 + 20 + 4 + 334 = 666.

It is a super-2 number, since 2×1123042043342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112304204298 and 112304204307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16010212 + ... + 16017224.

It is an arithmetic number, because the mean of its divisors is an integer number (2938522314).

Almost surely, 2112304204334 is an apocalyptic number.

112304204334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112304204334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141049071072).

112304204334 is an abundant number, since it is smaller than the sum of its proper divisors (169793937810).

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

112304204334 is a wasteful number, since it uses less digits than its factorization.

112304204334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 112304204334 its reverse (433402403211), we get a palindrome (545706607545).

The spelling of 112304204334 in words is "one hundred twelve billion, three hundred four million, two hundred four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 1741 3066 3482 4599 5223 7013 9198 10446 12187 14026 15669 21039 24374 31338 36561 42078 49091 63117 73122 98182 109683 126234 127093 147273 219366 254186 294546 381279 441819 511949 762558 883638 889651 1023898 1143837 1535847 1779302 2287674 2668953 3071694 3583643 4607541 5337906 7167286 8006859 9215082 10750929 12209633 16013718 21501858 24419266 32252787 36628899 64505574 73257798 85467431 109886697 170934862 219773394 256402293 512804586 769206879 891303209 1538413758 1782606418 2673909627 5347819254 6239122463 8021728881 12478244926 16043457762 18717367389 37434734778 56152102167 112304204334