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253202112324 = 22347111641143
BaseRepresentation
bin1110101111010000000…
…1011001111101000100
3220012120002110000110000
43223310001121331010
513122024220043244
6312153000001300
724202404305130
oct3536401317504
9805502400400
10253202112324
1198422a9a677
12410a4a60230
131ab525ba005
14c37dbca3c0
1568bded3169
hex3af4059f44

253202112324 has 60 divisors (see below), whose sum is σ = 756480391744. Its totient is φ = 72343460016.

The previous prime is 253202112323. The next prime is 253202112341. The reversal of 253202112324 is 423211202352.

253202112324 is a `hidden beast` number, since 2 + 5 + 320 + 2 + 1 + 12 + 324 = 666.

253202112324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2532021123242 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (253202112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55818304 + ... + 55822839.

Almost surely, 2253202112324 is an apocalyptic number.

It is an amenable number.

253202112324 is an abundant number, since it is smaller than the sum of its proper divisors (503278279420).

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

253202112324 is a wasteful number, since it uses less digits than its factorization.

253202112324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111641166 (or 111641155 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 253202112324 its reverse (423211202352), we get a palindrome (676413314676).

The spelling of 253202112324 in words is "two hundred fifty-three billion, two hundred two million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 111641143 223282286 334923429 446564572 669846858 781488001 1004770287 1339693716 1562976002 2009540574 2344464003 3014310861 3125952004 4019081148 4688928006 6028621722 7033392009 9042932583 9377856012 12057243444 14066784018 18085865166 21100176027 28133568036 36171730332 42200352054 63300528081 84400704108 126601056162 253202112324