Search a number
-
+
253122545010 = 235411759116993
BaseRepresentation
bin1110101110111101000…
…1111000010101110010
3220012100112201120121110
43223233101320111302
513121343332420020
6312141034334150
724200420063346
oct3535721702562
9805315646543
10253122545010
1198392094565
124108228a356
131ab3bc7b86a
14c3733d7626
1568b70178e0
hex3aef478572

253122545010 has 64 divisors (see below), whose sum is σ = 622670146560. Its totient is φ = 65815019520.

The previous prime is 253122544999. The next prime is 253122545017. The reversal of 253122545010 is 10545221352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253122545017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2105074 + ... + 2222066.

It is an arithmetic number, because the mean of its divisors is an integer number (9729221040).

Almost surely, 2253122545010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253122545010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311335073280).

253122545010 is an abundant number, since it is smaller than the sum of its proper divisors (369547601550).

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

253122545010 is a wasteful number, since it uses less digits than its factorization.

253122545010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118803.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 253122545010 its reverse (10545221352), we get a palindrome (263667766362).

The spelling of 253122545010 in words is "two hundred fifty-three billion, one hundred twenty-two million, five hundred forty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1759 3518 5277 8795 10554 17590 26385 52770 72119 116993 144238 216357 233986 350979 360595 432714 584965 701958 721190 1081785 1169930 1754895 2163570 3509790 4796713 9593426 14390139 23983565 28780278 47967130 71950695 143901390 205790687 411581374 617372061 1028953435 1234744122 2057906870 3086860305 6173720610 8437418167 16874836334 25312254501 42187090835 50624509002 84374181670 126561272505 253122545010