Search a number
-
+
124223134332 = 2231117127435889
BaseRepresentation
bin111001110110001000…
…1101001101001111100
3102212122022202001201010
41303230101221221330
54013402110244312
6133022312515220
711655236135253
oct1635421515174
9385568661633
10124223134332
11487567a2490
12200aa0abb10
13b93910301b
14602618179a
153370b0493c
hex1cec469a7c

124223134332 has 96 divisors (see below), whose sum is σ = 337441628160. Its totient is φ = 35150008320.

The previous prime is 124223134313. The next prime is 124223134363. The reversal of 124223134332 is 233431322421.

It is a happy number.

It is a super-2 number, since 2×1242231343322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 124223134332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67044 + ... + 502932.

It is an arithmetic number, because the mean of its divisors is an integer number (3515016960).

Almost surely, 2124223134332 is an apocalyptic number.

124223134332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124223134332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168720814080).

124223134332 is an abundant number, since it is smaller than the sum of its proper divisors (213218493828).

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

124223134332 is a wasteful number, since it uses less digits than its factorization.

124223134332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436051 (or 436049 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 124223134332 its reverse (233431322421), we get a palindrome (357654456753).

The spelling of 124223134332 in words is "one hundred twenty-four billion, two hundred twenty-three million, one hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 127 132 187 204 254 374 381 508 561 748 762 1122 1397 1524 2159 2244 2794 4191 4318 5588 6477 8382 8636 12954 16764 23749 25908 47498 71247 94996 142494 284988 435889 871778 1307667 1743556 2615334 4794779 5230668 7410113 9589558 14384337 14820226 19179116 22230339 28768674 29640452 44460678 55357903 57537348 81511243 88921356 110715806 163022486 166073709 221431612 244533729 326044972 332147418 489067458 608936933 664294836 941084351 978134916 1217873866 1826810799 1882168702 2435747732 2823253053 3653621598 3764337404 5646506106 7307243196 10351927861 11293012212 20703855722 31055783583 41407711444 62111567166 124223134332