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42013110032103 = 374161799929743
BaseRepresentation
bin10011000110101111100000…
…11111111101011011100111
312111202102011212121111102010
421203113300133331123213
521001320322132011403
6225204320054445303
711564230014013530
oct1143276037753347
9174672155544363
1042013110032103
1112428729374031
124866509663833
131a59a85c47682
14a53634177687
154ccccdb33603
hex2635f07fd6e7

42013110032103 has 32 divisors (see below), whose sum is σ = 66656545708032. Its totient is φ = 23037976569600.

The previous prime is 42013110032083. The next prime is 42013110032111. The reversal of 42013110032103 is 30123001131024.

It is not a de Polignac number, because 42013110032103 - 25 = 42013110032071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42013110032103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013110032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399912351 + ... + 400017392.

It is an arithmetic number, because the mean of its divisors is an integer number (2083017053376).

Almost surely, 242013110032103 is an apocalyptic number.

42013110032103 is a deficient number, since it is larger than the sum of its proper divisors (24643435675929).

42013110032103 is a wasteful number, since it uses less digits than its factorization.

42013110032103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799929855.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 42013110032103 its reverse (30123001131024), we get a palindrome (72136111163127).

The spelling of 42013110032103 in words is "forty-two trillion, thirteen billion, one hundred ten million, thirty-two thousand, one hundred three".

Divisors: 1 3 7 21 41 61 123 183 287 427 861 1281 2501 7503 17507 52521 799929743 2399789229 5599508201 16798524603 32797119463 48795714323 98391358389 146387142969 229579836241 341570000261 688739508723 1024710000783 2000624287243 6001872861729 14004370010701 42013110032103