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20403212411000 = 235322791198663
BaseRepresentation
bin1001010001110011111100…
…01110100110000001111000
32200020112020221202021002202
410220321332032212001320
510133241234334123000
6111221034551245332
74204040423663426
oct450717616460170
980215227667082
1020403212411000
116556a5454a361
122356342679848
13b50026317993
14507740d1a116
15255b037cedd5
hex128e7e3a6078

20403212411000 has 128 divisors (see below), whose sum is σ = 48006966159360. Its totient is φ = 8116330768000.

The previous prime is 20403212410957. The next prime is 20403212411011. The reversal of 20403212411000 is 11421230402.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 206747669 + ... + 206846331.

It is an arithmetic number, because the mean of its divisors is an integer number (375054423120).

Almost surely, 220403212411000 is an apocalyptic number.

20403212411000 is a gapful number since it is divisible by the number (20) 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 20403212411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24003483079680).

20403212411000 is an abundant number, since it is smaller than the sum of its proper divisors (27603753748360).

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

20403212411000 is a wasteful number, since it uses less digits than its factorization.

20403212411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99822 (or 99808 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20403212411000 its reverse (11421230402), we get a palindrome (20414633641402).

The spelling of 20403212411000 in words is "twenty trillion, four hundred three billion, two hundred twelve million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 227 250 454 500 908 911 1000 1135 1816 1822 2270 3644 4540 4555 5675 7288 9080 9110 11350 18220 22700 22775 28375 36440 45400 45550 56750 91100 98663 113500 113875 182200 197326 206797 227000 227750 394652 413594 455500 493315 789304 827188 911000 986630 1033985 1654376 1973260 2067970 2466575 3946520 4135940 4933150 5169925 8271880 9866300 10339850 12332875 19732600 20679700 22396501 24665750 25849625 41359400 44793002 49331500 51699250 89586004 89881993 98663000 103398500 111982505 179172008 179763986 206797000 223965010 359527972 447930020 449409965 559912525 719055944 895860040 898819930 1119825050 1797639860 2239650100 2247049825 2799562625 3595279720 4479300200 4494099650 5599125250 8988199300 11198250500 11235249125 17976398600 20403212411 22396501000 22470498250 40806424822 44940996500 81612849644 89881993000 102016062055 163225699288 204032124110 408064248220 510080310275 816128496440 1020160620550 2040321241100 2550401551375 4080642482200 5100803102750 10201606205500 20403212411000