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253100661 = 31122924043
BaseRepresentation
bin11110001011000…
…00001001110101
3122122020211211120
433011200021311
51004243210121
641040454153
76162214542
oct1705401165
9578224746
10253100661
1111a961300
127091a359
1340589b08
1425885bc9
1517347bc6
hexf160275

253100661 has 24 divisors (see below), whose sum is σ = 383742240. Its totient is φ = 148098720.

The previous prime is 253100657. The next prime is 253100693. The reversal of 253100661 is 166001352.

It is not a de Polignac number, because 253100661 - 22 = 253100657 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253100611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495 + ... + 22548.

It is an arithmetic number, because the mean of its divisors is an integer number (15989260).

Almost surely, 2253100661 is an apocalyptic number.

It is an amenable number.

253100661 is a deficient number, since it is larger than the sum of its proper divisors (130641579).

253100661 is a wasteful number, since it uses less digits than its factorization.

253100661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24097 (or 24086 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 253100661 is about 15909.1376573339. The cubic root of 253100661 is about 632.5542234547.

The spelling of 253100661 in words is "two hundred fifty-three million, one hundred thousand, six hundred sixty-one".

Divisors: 1 3 11 29 33 87 121 319 363 957 3509 10527 24043 72129 264473 697247 793419 2091741 2909203 7669717 8727609 23009151 84366887 253100661