Search a number
-
+
122633134032 = 24314917146691
BaseRepresentation
bin111001000110110000…
…0010001111111010000
3102201112111212200100010
41302031200101333100
54002123040242112
6132200433354520
711600651304003
oct1621540217720
9381474780303
10122633134032
1148010230752
121b925708a40
13b74488b946
145d14d3153a
1532cb22d63c
hex1c8d811fd0

122633134032 has 40 divisors (see below), whose sum is σ = 318928471200. Its totient is φ = 40603361920.

The previous prime is 122633134031. The next prime is 122633134201. The reversal of 122633134032 is 230431336221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122633134031) 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 7 ways as a sum of consecutive naturals, for example, 8566194 + ... + 8580497.

It is an arithmetic number, because the mean of its divisors is an integer number (7973211780).

Almost surely, 2122633134032 is an apocalyptic number.

122633134032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122633134032 is an abundant number, since it is smaller than the sum of its proper divisors (196295337168).

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

122633134032 is a wasteful number, since it uses less digits than its factorization.

122633134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17146851 (or 17146845 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 122633134032 in words is "one hundred twenty-two billion, six hundred thirty-three million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 7152 17146691 34293382 51440073 68586764 102880146 137173528 205760292 274347056 411520584 823041168 2554856959 5109713918 7664570877 10219427836 15329141754 20438855672 30658283508 40877711344 61316567016 122633134032