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112413200352 = 2537116492547
BaseRepresentation
bin110100010110001011…
…0010100111111100000
3101202011021021020220220
41220230112110333200
53320210234402402
6123350353003040
711056463302665
oct1505426247740
9352137236826
10112413200352
1143746359272
1219952b53480
13a7a6457ccb
1456258bba6c
152dcddc9dbc
hex1a2c594fe0

112413200352 has 48 divisors (see below), whose sum is σ = 299240790912. Its totient is φ = 36943303040.

The previous prime is 112413200219. The next prime is 112413200353. The reversal of 112413200352 is 253002314211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×1124132003524 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112413200353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8239458 + ... + 8253089.

It is an arithmetic number, because the mean of its divisors is an integer number (6234183144).

Almost surely, 2112413200352 is an apocalyptic number.

112413200352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112413200352 is an abundant number, since it is smaller than the sum of its proper divisors (186827590560).

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

112413200352 is a wasteful number, since it uses less digits than its factorization.

112413200352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16492631 (or 16492623 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 112413200352 its reverse (253002314211), we get a palindrome (365415514563).

The spelling of 112413200352 in words is "one hundred twelve billion, four hundred thirteen million, two hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 16492547 32985094 49477641 65970188 98955282 131940376 197910564 263880752 395821128 527761504 791642256 1170970837 1583284512 2341941674 3512912511 4683883348 7025825022 9367766696 14051650044 18735533392 28103300088 37471066784 56206600176 112413200352