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104042125242 = 2351134335669
BaseRepresentation
bin110000011100101100…
…1001101011110111010
3100221112212121120200000
41200321121031132322
53201034241001432
6115443555453430
710342155321126
oct1407131153672
9327485546600
10104042125242
1140140081680
12181b75b7276
139a71090123
14506dc1c586
152a8e03157c
hex183964d7ba

104042125242 has 96 divisors (see below), whose sum is σ = 255145101120. Its totient is φ = 31513173120.

The previous prime is 104042125241. The next prime is 104042125301. The reversal of 104042125242 is 242521240401.

It is a happy number.

104042125242 is a `hidden beast` number, since 1 + 0 + 404 + 2 + 1 + 252 + 4 + 2 = 666.

104042125242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (104042125241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18349984 + ... + 18355652.

It is an arithmetic number, because the mean of its divisors is an integer number (2657761470).

Almost surely, 2104042125242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104042125242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127572550560).

104042125242 is an abundant number, since it is smaller than the sum of its proper divisors (151102975878).

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

104042125242 is a wasteful number, since it uses less digits than its factorization.

104042125242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 104042125242 its reverse (242521240401), we get a palindrome (346563365643).

The spelling of 104042125242 in words is "one hundred four billion, forty-two million, one hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 3433 5346 5669 6866 10299 11338 17007 20598 30897 34014 37763 51021 61794 62359 75526 92691 102042 113289 124718 153063 185382 187077 226578 278073 306126 339867 374154 459189 556146 561231 679734 834219 918378 1019601 1122462 1377567 1668438 1683693 2039202 2755134 3058803 3367386 5051079 6117606 9176409 10102158 15153237 18352818 19461677 30306474 38923354 58385031 116770062 175155093 214078447 350310186 428156894 525465279 642235341 1050930558 1284470682 1576395837 1926706023 3152791674 3853412046 4729187511 5780118069 9458375022 11560236138 17340354207 34680708414 52021062621 104042125242