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42103131302432 = 2517353112191823
BaseRepresentation
bin10011001001010111001100…
…01011110110101000100000
312112002000112121111211221102
421210223212023312220200
521004304203103134212
6225313524515013532
711603564562126644
oct1144534613665040
9175060477454842
1042103131302432
1112462923aa2902
12487ba5159a2a8
131a654012a6335
14a57b33c10c24
154d02ebcb25c2
hex264ae62f6a20

42103131302432 has 48 divisors (see below), whose sum is σ = 87768979425792. Its totient is φ = 19812668113920.

The previous prime is 42103131302413. The next prime is 42103131302509. The reversal of 42103131302432 is 23420313130124.

It is a super-3 number, since 3×421031313024323 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42103131302395 and 42103131302404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18113273 + ... + 20305095.

It is an arithmetic number, because the mean of its divisors is an integer number (1828520404704).

Almost surely, 242103131302432 is an apocalyptic number.

It is an amenable number.

42103131302432 is an abundant number, since it is smaller than the sum of its proper divisors (45665848123360).

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

42103131302432 is a wasteful number, since it uses less digits than its factorization.

42103131302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227161 (or 2227153 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 42103131302432 its reverse (23420313130124), we get a palindrome (65523444432556).

The spelling of 42103131302432 in words is "forty-two trillion, one hundred three billion, one hundred thirty-one million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 35311 70622 141244 282488 564976 600287 1129952 1200574 2191823 2401148 4383646 4802296 8767292 9604592 17534584 19209184 35069168 37260991 70138336 74521982 149043964 298087928 596175856 1192351712 77395461953 154790923906 309581847812 619163695624 1238327391248 1315722853201 2476654782496 2631445706402 5262891412804 10525782825608 21051565651216 42103131302432