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10420344012 = 22313411629197
BaseRepresentation
bin10011011010001100…
…11101010011001100
3222220012201022201010
421231012131103030
5132320102002022
64442000045220
7516140314461
oct115506352314
928805638633
1010420344012
114468015761
122029903810
13ca0b02940
1470bd01668
1540ec3e50c
hex26d19d4cc

10420344012 has 48 divisors (see below), whose sum is σ = 26823115872. Its totient is φ = 3128056320.

The previous prime is 10420343977. The next prime is 10420344017. The reversal of 10420344012 is 21044302401.

10420344012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104203440122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10420344012.

It is not an unprimeable number, because it can be changed into a prime (10420344017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 808203 + ... + 820994.

It is an arithmetic number, because the mean of its divisors is an integer number (558814914).

Almost surely, 210420344012 is an apocalyptic number.

10420344012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10420344012 is an abundant number, since it is smaller than the sum of its proper divisors (16402771860).

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

10420344012 is a wasteful number, since it uses less digits than its factorization.

10420344012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629258 (or 1629256 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10420344012 its reverse (21044302401), we get a palindrome (31464646413).

The spelling of 10420344012 in words is "ten billion, four hundred twenty million, three hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 1629197 3258394 4887591 6516788 9775182 19550364 21179561 42359122 63538683 66797077 84718244 127077366 133594154 200391231 254154732 267188308 400782462 801564924 868362001 1736724002 2605086003 3473448004 5210172006 10420344012