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104222313432 = 23325327311927
BaseRepresentation
bin110000100010000100…
…0100100101111011000
3100222000102200002101200
41201010020210233120
53201421403012212
6115513513514200
710346504022126
oct1410410445730
9328012602350
10104222313432
1140222862736
1218247a12960
139a9c4cb863
145089b24916
152a9ec756dc
hex1844224bd8

104222313432 has 48 divisors (see below), whose sum is σ = 287594601840. Its totient is φ = 34085283648.

The previous prime is 104222313427. The next prime is 104222313487. The reversal of 104222313432 is 234313222401.

104222313432 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 223 + 1 + 3 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104222313396 and 104222313405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13652148 + ... + 13659779.

It is an arithmetic number, because the mean of its divisors is an integer number (5991554205).

Almost surely, 2104222313432 is an apocalyptic number.

104222313432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104222313432 is an abundant number, since it is smaller than the sum of its proper divisors (183372288408).

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

104222313432 is a wasteful number, since it uses less digits than its factorization.

104222313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27311992 (or 27311985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 104222313432 its reverse (234313222401), we get a palindrome (338535535833).

The spelling of 104222313432 in words is "one hundred four billion, two hundred twenty-two million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 27311927 54623854 81935781 109247708 163871562 218495416 245807343 327743124 491614686 655486248 983229372 1447532131 1966458744 2895064262 4342596393 5790128524 8685192786 11580257048 13027789179 17370385572 26055578358 34740771144 52111156716 104222313432