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10031340121424 = 2417432633261113
BaseRepresentation
bin1001000111111001101001…
…1101101110110101010000
31022111222122100012101012022
42101332122131232311100
52303323141032341144
633200200052351012
72053511650105556
oct221763235566520
938458570171168
1010031340121424
1132182a3a89116
121160183615468
13579c4a06547b
1426973b53dbd6
15125e11534cee
hex91f9a76ed50

10031340121424 has 80 divisors (see below), whose sum is σ = 21137653924992. Its totient is φ = 4593315385344.

The previous prime is 10031340121391. The next prime is 10031340121459. The reversal of 10031340121424 is 42412104313001.

It is a junction number, because it is equal to n+sod(n) for n = 10031340121393 and 10031340121402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445492 + ... + 4706604.

Almost surely, 210031340121424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031340121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10568826962496).

10031340121424 is an abundant number, since it is smaller than the sum of its proper divisors (11106313803568).

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

10031340121424 is a wasteful number, since it uses less digits than its factorization.

10031340121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261444 (or 3261438 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10031340121424 its reverse (42412104313001), we get a palindrome (52443444434425).

The spelling of 10031340121424 in words is "ten trillion, thirty-one billion, three hundred forty million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 263 272 344 526 688 731 1052 1462 2104 2924 4208 4471 5848 8942 11309 11696 17884 22618 35768 45236 71536 90472 180944 192253 384506 769012 1538024 3076048 3261113 6522226 13044452 26088904 52177808 55438921 110877842 140227859 221755684 280455718 443511368 560911436 857672719 887022736 1121822872 1715345438 2243645744 2383873603 3430690876 4767747206 6861381752 9535494412 13722763504 14580436223 19070988824 29160872446 36879926917 38141977648 58321744892 73759853834 116643489784 147519707668 233286979568 295039415336 590078830672 626958757589 1253917515178 2507835030356 5015670060712 10031340121424