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42013103034 = 23721761137803
BaseRepresentation
bin100111001000001011…
…010001001110111010
311000102222001202201010
4213020023101032322
51142020323244114
631144530334350
73015060324600
oct471013211672
9130388052633
1042013103034
11168aa335161
12818612a3b6
133c671669a6
142067ab7870
15115d5d6c59
hex9c82d13ba

42013103034 has 96 divisors (see below), whose sum is σ = 105191856576. Its totient is φ = 11112353280.

The previous prime is 42013102987. The next prime is 42013103047. The reversal of 42013103034 is 43030131024.

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 42013103034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235977 + ... + 373779.

It is an arithmetic number, because the mean of its divisors is an integer number (1095748506).

Almost surely, 242013103034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013103034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52595928288).

42013103034 is an abundant number, since it is smaller than the sum of its proper divisors (63178753542).

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

42013103034 is a wasteful number, since it uses less digits than its factorization.

42013103034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137900 (or 137893 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 42013103034 its reverse (43030131024), we get a palindrome (85043234058).

The spelling of 42013103034 in words is "forty-two billion, thirteen million, one hundred three thousand, thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 61 98 102 119 122 147 183 238 294 357 366 427 714 833 854 1037 1281 1666 2074 2499 2562 2989 3111 4998 5978 6222 7259 8967 14518 17934 21777 43554 50813 101626 137803 152439 275606 304878 413409 826818 964621 1929242 2342651 2893863 4685302 5787726 6752347 7027953 8405983 13504694 14055906 16398557 16811966 20257041 25217949 32797114 40514082 49195671 50435898 58841881 98391342 114789899 117683762 142901711 176525643 229579798 285803422 344369697 353051286 411893167 428705133 688739394 823786334 857410266 1000311977 1235679501 2000623954 2471359002 3000935931 6001871862 7002183839 14004367678 21006551517 42013103034