Search a number
-
+
12007284234 = 2311289185831
BaseRepresentation
bin10110010111011000…
…01001111000001010
31010222210211020102220
423023230021320022
5144042331043414
65303245434510
7603360142401
oct131354117012
933883736386
1012007284234
115101887400
1223b126ba36
13119481521a
1481c996638
154a420dca9
hex2cbb09e0a

12007284234 has 48 divisors (see below), whose sum is σ = 26692908480. Its totient is φ = 3597668800.

The previous prime is 12007284227. The next prime is 12007284253. The reversal of 12007284234 is 43248270021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12007284195 and 12007284204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28302 + ... + 157529.

It is an arithmetic number, because the mean of its divisors is an integer number (556102260).

Almost surely, 212007284234 is an apocalyptic number.

12007284234 is an abundant number, since it is smaller than the sum of its proper divisors (14685624246).

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

12007284234 is a wasteful number, since it uses less digits than its factorization.

12007284234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185947 (or 185936 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 12007284234 in words is "twelve billion, seven million, two hundred eighty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 89 121 178 242 267 363 534 726 979 1958 2937 5874 10769 21538 32307 64614 185831 371662 557493 1114986 2044141 4088282 6132423 12264846 16538959 22485551 33077918 44971102 49616877 67456653 99233754 134913306 181928549 363857098 545785647 1091571294 2001214039 4002428078 6003642117 12007284234