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1003240404012 = 2237111326781839
BaseRepresentation
bin11101001100101011100…
…10011011010000101100
310112220112112211000010110
432212111302123100230
5112414114020412022
62044514323340020
7132324142506030
oct16462562332054
93486475730113
101003240404012
11357521065440
12142527221610
13737b3712a72
14367b294c1c0
151b16ae9600c
hexe995c9b42c

1003240404012 has 96 divisors (see below), whose sum is σ = 2918773186560. Its totient is φ = 260559097920.

The previous prime is 1003240403947. The next prime is 1003240404071. The reversal of 1003240404012 is 2104040423001.

1003240404012 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 2×10032404040122 (a number of 25 digits) contains 22 as substring.

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 1003240404012.

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, 12217789 + ... + 12299627.

It is an arithmetic number, because the mean of its divisors is an integer number (30403887360).

Almost surely, 21003240404012 is an apocalyptic number.

1003240404012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003240404012 is an abundant number, since it is smaller than the sum of its proper divisors (1915532782548).

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

1003240404012 is a wasteful number, since it uses less digits than its factorization.

1003240404012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95131 (or 95129 counting only the distinct ones).

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

Adding to 1003240404012 its reverse (2104040423001), we get a palindrome (3107280827013).

The spelling of 1003240404012 in words is "one trillion, three billion, two hundred forty million, four hundred four thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 13267 26534 39801 53068 79602 81839 92869 145937 159204 163678 185738 245517 278607 291874 327356 371476 437811 491034 557214 572873 583748 875622 900229 982068 1021559 1114428 1145746 1718619 1751244 1800458 2043118 2291492 2700687 3064677 3437238 3600916 4086236 5401374 6129354 6301603 6874476 10802748 12258708 12603206 18904809 25206412 37809618 75619236 1085758013 2171516026 3257274039 4343032052 6514548078 7600306091 11943338143 13029096156 15200612182 22800918273 23886676286 30401224364 35830014429 45601836546 47773352572 71660028858 83603367001 91203673092 143320057716 167206734002 250810101003 334413468004 501620202006 1003240404012