Search a number
-
+
253122303132 = 223319326594567
BaseRepresentation
bin1110101110111101000…
…0111101010010011100
3220012100112021021211000
43223233100331102130
513121343302200012
6312141025230300
724200415035226
oct3535720752234
9805315237730
10253122303132
1198391a39866
1241082192390
131ab3bbc573a
14c373373416
1568b6ebaddc
hex3aef43d49c

253122303132 has 96 divisors (see below), whose sum is σ = 660035801600. Its totient is φ = 83886990336.

The previous prime is 253122303089. The next prime is 253122303179. The reversal of 253122303132 is 231303221352.

It is a happy number.

253122303132 is a `hidden beast` number, since 2 + 5 + 312 + 2 + 30 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253122303096 and 253122303105.

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, 55421913 + ... + 55426479.

Almost surely, 2253122303132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253122303132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330017900800).

253122303132 is an abundant number, since it is smaller than the sum of its proper divisors (406913498468).

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

253122303132 is a wasteful number, since it uses less digits than its factorization.

253122303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 7424 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 253122303132 its reverse (231303221352), we get a palindrome (484425524484).

The spelling of 253122303132 in words is "two hundred fifty-three billion, one hundred twenty-two million, three hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 772 1158 1737 2316 2659 3474 4567 5211 5318 6948 7977 9134 10422 10636 13701 15954 18268 20844 23931 27402 31908 41103 47862 54804 71793 82206 95724 123309 143586 164412 246618 287172 493236 513187 881431 1026374 1539561 1762862 2052748 2644293 3079122 3525724 4618683 5288586 6158244 7932879 9237366 10577172 12143653 13856049 15865758 18474732 23798637 24287306 27712098 31731516 36430959 47597274 48574612 55424196 72861918 95194548 109292877 145723836 218585754 327878631 437171508 655757262 1311514524 2343725029 4687450058 7031175087 9374900116 14062350174 21093525261 28124700348 42187050522 63280575783 84374101044 126561151566 253122303132