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42013103013 = 3276725738729
BaseRepresentation
bin100111001000001011…
…010001001110100101
311000102222001202200100
4213020023101032211
51142020323244023
631144530334313
73015060324540
oct471013211645
9130388052610
1042013103013
11168aa335142
12818612a399
133c6716698b
142067ab7857
15115d5d6c43
hex9c82d13a5

42013103013 has 48 divisors (see below), whose sum is σ = 70665828480. Its totient is φ = 23556538368.

The previous prime is 42013102987. The next prime is 42013103047. The reversal of 42013103013 is 31030131024.

It is not a de Polignac number, because 42013103013 - 213 = 42013094821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013102013) 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, 1065433 + ... + 1104161.

It is an arithmetic number, because the mean of its divisors is an integer number (1472204760).

Almost surely, 242013103013 is an apocalyptic number.

It is an amenable number.

42013103013 is a deficient number, since it is larger than the sum of its proper divisors (28652725467).

42013103013 is a wasteful number, since it uses less digits than its factorization.

42013103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39066 (or 39063 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 42013103013 its reverse (31030131024), we get a palindrome (73043234037).

The spelling of 42013103013 in words is "forty-two billion, thirteen million, one hundred three thousand, thirteen".

Divisors: 1 3 7 9 21 63 67 201 257 469 603 771 1407 1799 2313 4221 5397 16191 17219 38729 51657 116187 120533 154971 271103 348561 361599 813309 1084797 2439927 2594843 7784529 9953353 18163901 23353587 29860059 54491703 69673471 89580177 163475109 209020413 627061239 666874651 2000623953 4668122557 6001871859 14004367671 42013103013