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134430232002 = 231117186164381
BaseRepresentation
bin111110100110010101…
…0101000110111000010
3110211222200012100102120
41331030222220313002
54200303114411002
6141431214225110
712466210055433
oct1751452506702
9424880170376
10134430232002
11520143a7aa0
12220784b5196
13c8a49912a1
146713a1348a
15376bc6ecbc
hex1f4caa8dc2

134430232002 has 64 divisors (see below), whose sum is σ = 310727104128. Its totient is φ = 38318976000.

The previous prime is 134430231941. The next prime is 134430232003. The reversal of 134430232002 is 200232034431.

134430232002 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1344302320022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134430232003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2055852 + ... + 2120232.

It is an arithmetic number, because the mean of its divisors is an integer number (4855111002).

Almost surely, 2134430232002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134430232002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155363552064).

134430232002 is an abundant number, since it is smaller than the sum of its proper divisors (176296872126).

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

134430232002 is a wasteful number, since it uses less digits than its factorization.

134430232002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66275.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134430232002 its reverse (200232034431), we get a palindrome (334662266433).

The spelling of 134430232002 in words is "one hundred thirty-four billion, four hundred thirty million, two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1861 3722 5583 11166 20471 31637 40942 61413 63274 64381 94911 122826 128762 189822 193143 348007 386286 696014 708191 1044021 1094477 1416382 2088042 2124573 2188954 3283431 4249146 6566862 12039247 24078494 36117741 72235482 119813041 239626082 359439123 718878246 1317943451 2036821697 2635886902 3953830353 4073643394 6110465091 7907660706 12220930182 22405038667 44810077334 67215116001 134430232002