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21104431000 = 2353292113449
BaseRepresentation
bin10011101001111011…
…000000111110011000
32000110210201011202121
4103221323000332120
5321210213243000
613410101111024
71344662463232
oct235173007630
960423634677
1021104431000
118a4a9a0414
12410b9b8474
131cb444a3c3
141042c59252
15837bc9b1a
hex4e9ec0f98

21104431000 has 128 divisors (see below), whose sum is σ = 51344280000. Its totient is φ = 8109696000.

The previous prime is 21104430953. The next prime is 21104431043. The reversal of 21104431000 is 13440112.

It is a super-2 number, since 2×211044310002 (a number of 21 digits) contains 22 as substring.

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, 6117276 + ... + 6120724.

Almost surely, 221104431000 is an apocalyptic number.

21104431000 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 21104431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25672140000).

21104431000 is an abundant number, since it is smaller than the sum of its proper divisors (30239849000).

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

21104431000 is a wasteful number, since it uses less digits than its factorization.

21104431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21104431000 its reverse (13440112), we get a palindrome (21117871112).

The spelling of 21104431000 in words is "twenty-one billion, one hundred four million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 211 232 250 290 422 500 580 725 844 1000 1055 1160 1450 1688 2110 2900 3449 3625 4220 5275 5800 6119 6898 7250 8440 10550 12238 13796 14500 17245 21100 24476 26375 27592 29000 30595 34490 42200 48952 52750 61190 68980 86225 100021 105500 122380 137960 152975 172450 200042 211000 244760 305950 344900 400084 431125 500105 611900 689800 727739 764875 800168 862250 1000210 1223800 1455478 1529750 1724500 2000420 2500525 2910956 3059500 3449000 3638695 4000840 5001050 5821912 6119000 7277390 10002100 12502625 14554780 18193475 20004200 21104431 25005250 29109560 36386950 42208862 50010500 72773900 84417724 90967375 100021000 105522155 145547800 168835448 181934750 211044310 363869500 422088620 527610775 727739000 844177240 1055221550 2110443100 2638053875 4220886200 5276107750 10552215500 21104431000