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104031122232 = 23343116386677
BaseRepresentation
bin110000011100010111…
…1001111001100111000
3100221112002220120101010
41200320233033030320
53201023431402412
6115442523553520
710341662643312
oct1407057171470
9327462816333
10104031122232
1140134946984
12181b398b8a0
139a6ba09b7b
14506c5967b2
152a8d0ab33c
hex1838bcf338

104031122232 has 64 divisors (see below), whose sum is σ = 266358026880. Its totient is φ = 33841084032.

The previous prime is 104031122231. The next prime is 104031122267. The reversal of 104031122232 is 232221130401.

It is a junction number, because it is equal to n+sod(n) for n = 104031122199 and 104031122208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104031122231) 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 15 ways as a sum of consecutive naturals, for example, 1156878 + ... + 1243554.

It is an arithmetic number, because the mean of its divisors is an integer number (4161844170).

Almost surely, 2104031122232 is an apocalyptic number.

104031122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104031122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133179013440).

104031122232 is an abundant number, since it is smaller than the sum of its proper divisors (162326904648).

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

104031122232 is a wasteful number, since it uses less digits than its factorization.

104031122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87892 (or 87888 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 104031122232 its reverse (232221130401), we get a palindrome (336252252633).

The spelling of 104031122232 in words is "one hundred four billion, thirty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1163 2326 3489 4652 6978 9304 13956 27912 50009 86677 100018 150027 173354 200036 260031 300054 346708 400072 520062 600108 693416 1040124 1200216 2080248 3727111 7454222 11181333 14908444 22362666 29816888 44725332 89450664 100805351 201610702 302416053 403221404 604832106 806442808 1209664212 2419328424 4334630093 8669260186 13003890279 17338520372 26007780558 34677040744 52015561116 104031122232