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21200104420 = 22511711499109
BaseRepresentation
bin10011101111100111…
…111110101111100100
32000201110201220000121
4103233213332233210
5321404211320140
613423355451324
71350233625415
oct235747765744
960643656017
1021200104420
118a999a7260
124137a56b44
131ccb2077b1
14105184180c
158412c764a
hex4ef9febe4

21200104420 has 96 divisors (see below), whose sum is σ = 49587552000. Its totient is φ = 7548710400.

The previous prime is 21200104391. The next prime is 21200104427. The reversal of 21200104420 is 2440100212.

It is a junction number, because it is equal to n+sod(n) for n = 21200104394 and 21200104403.

It is not an unprimeable number, because it can be changed into a prime (21200104427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322826 + ... + 2331934.

It is an arithmetic number, because the mean of its divisors is an integer number (516537000).

Almost surely, 221200104420 is an apocalyptic number.

21200104420 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 21200104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24793776000).

21200104420 is an abundant number, since it is smaller than the sum of its proper divisors (28387447580).

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

21200104420 is a wasteful number, since it uses less digits than its factorization.

21200104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21200104420 its reverse (2440100212), we get a palindrome (23640204632).

The spelling of 21200104420 in words is "twenty-one billion, two hundred million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 149 220 284 298 355 596 710 745 781 1420 1490 1562 1639 2980 3124 3278 3905 6556 7810 8195 9109 10579 15620 16390 18218 21158 32780 36436 42316 45545 52895 91090 100199 105790 116369 182180 200398 211580 232738 400796 465476 500995 581845 646739 1001990 1163690 1293478 1357241 2003980 2327380 2586956 2714482 3233695 5428964 6467390 6786205 7114129 12934780 13572410 14228258 14929651 27144820 28456516 29859302 35570645 59718604 71141290 74648255 96364111 142282580 149296510 192728222 298593020 385456444 481820555 963641110 1060005221 1927282220 2120010442 4240020884 5300026105 10600052210 21200104420