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2004213001032 = 23321119712845543
BaseRepresentation
bin11101001010100100011…
…001110110101101001000
321002121020001100110220100
4131022210121312231020
5230314112012013112
64132420040125400
7264541160264634
oct35124431665510
97077201313810
102004213001032
11702a88a97920
1228451aa66860
13116cc53428a8
146d00c20bdc4
1537202cc92dc
hex1d2a4676b48

2004213001032 has 96 divisors (see below), whose sum is σ = 5951597446080. Its totient is φ = 604254295680.

The previous prime is 2004213000971. The next prime is 2004213001061. The reversal of 2004213001032 is 2301003124002.

2004213001032 is a `hidden beast` number, since 200 + 421 + 3 + 0 + 0 + 10 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2004213000996 and 2004213001014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6266748 + ... + 6578795.

It is an arithmetic number, because the mean of its divisors is an integer number (61995806730).

Almost surely, 22004213001032 is an apocalyptic number.

2004213001032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2004213001032 is an abundant number, since it is smaller than the sum of its proper divisors (3947384445048).

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

2004213001032 is a wasteful number, since it uses less digits than its factorization.

2004213001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12845763 (or 12845756 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2004213001032 its reverse (2301003124002), we get a palindrome (4305216125034).

The spelling of 2004213001032 in words is "two trillion, four billion, two hundred thirteen million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 197 198 264 394 396 591 788 792 1182 1576 1773 2167 2364 3546 4334 4728 6501 7092 8668 13002 14184 17336 19503 26004 39006 52008 78012 156024 12845543 25691086 38536629 51382172 77073258 102764344 115609887 141300973 154146516 231219774 282601946 308293032 423902919 462439548 565203892 847805838 924879096 1130407784 1271708757 1695611676 2530571971 2543417514 3391223352 5061143942 5086835028 7591715913 10122287884 10173670056 15183431826 20244575768 22775147739 27836291681 30366863652 45550295478 55672583362 60733727304 83508875043 91100590956 111345166724 167017750086 182201181912 222690333448 250526625129 334035500172 501053250258 668071000344 1002106500516 2004213001032