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103332402012 = 223710314518231
BaseRepresentation
bin110000000111100010…
…1110101001101011100
3100212201102010220102110
41200033011311031130
53143111043331022
6115245323554020
710315446632160
oct1401705651534
9325642126373
10103332402012
113a9064a1054
121803998b910
13998a028158
145003872ca0
152a4ba8d00c
hex180f17535c

103332402012 has 96 divisors (see below), whose sum is σ = 278453919744. Its totient is φ = 29213208000.

The previous prime is 103332402001. The next prime is 103332402097. The reversal of 103332402012 is 210204233301.

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 103332402012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12549937 + ... + 12558167.

It is an arithmetic number, because the mean of its divisors is an integer number (2900561664).

Almost surely, 2103332402012 is an apocalyptic number.

103332402012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103332402012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139226959872).

103332402012 is an abundant number, since it is smaller than the sum of its proper divisors (175121517732).

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

103332402012 is a wasteful number, since it uses less digits than its factorization.

103332402012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9797 counting only the distinct ones).

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

Adding to 103332402012 its reverse (210204233301), we get a palindrome (313536635313).

The spelling of 103332402012 in words is "one hundred three billion, three hundred thirty-two million, four hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 1451 2163 2884 2902 4326 4353 5804 8231 8652 8706 10157 16462 17412 20314 24693 30471 32924 40628 49386 57617 60942 98772 115234 121884 149453 172851 230468 298906 345702 448359 597812 691404 847793 896718 1046171 1695586 1793436 2092342 2543379 3138513 3391172 4184684 5086758 5934551 6277026 10173516 11869102 11943181 12554052 17803653 23738204 23886362 35607306 35829543 47772724 71214612 71659086 83602267 143318172 167204534 250806801 334409068 501613602 1003227204 1230147643 2460295286 3690442929 4920590572 7380885858 8611033501 14761771716 17222067002 25833100503 34444134004 51666201006 103332402012