Search a number
-
+
21210202112 = 2171147313
BaseRepresentation
bin10011110000001110…
…100000000000000000
32000202011201220110012
4103300032200000000
5321414302431422
613424400124052
71350415512641
oct236016400000
960664656405
1021210202112
118aa4673860
12413b306628
132000331968
141052d0d6c8
1584211e4e2
hex4f03a0000

21210202112 has 144 divisors (see below), whose sum is σ = 47412231552. Its totient is φ = 9405726720.

The previous prime is 21210202063. The next prime is 21210202141. The reversal of 21210202112 is 21120201212.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67764068 + ... + 67764380.

It is an arithmetic number, because the mean of its divisors is an integer number (329251608).

Almost surely, 221210202112 is an apocalyptic number.

21210202112 is a gapful number since it is divisible by the number (22) 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 21210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706115776).

21210202112 is an abundant number, since it is smaller than the sum of its proper divisors (26202029440).

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

21210202112 is an frugal number, since it uses more digits than its factorization.

21210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210202112 its reverse (21120201212), we get a palindrome (42330403324).

It can be divided in two parts, 21210 and 202112, that added together give a palindrome (223322).

The spelling of 21210202112 in words is "twenty-one billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 313 352 376 512 517 626 704 752 1024 1034 1252 1408 1504 2048 2068 2504 2816 3008 3443 4096 4136 5008 5632 6016 6886 8192 8272 10016 11264 12032 13772 14711 16384 16544 20032 22528 24064 27544 29422 32768 33088 40064 45056 48128 55088 58844 65536 66176 80128 90112 96256 110176 117688 131072 132352 160256 161821 180224 192512 220352 235376 264704 320512 323642 360448 385024 440704 470752 529408 641024 647284 720896 770048 881408 941504 1058816 1282048 1294568 1441792 1540096 1762816 1883008 2117632 2564096 2589136 3080192 3525632 3766016 4235264 5128192 5178272 6160384 7051264 7532032 8470528 10256384 10356544 14102528 15064064 16941056 20512768 20713088 28205056 30128128 33882112 41025536 41426176 56410112 60256256 67764224 82852352 112820224 120512512 165704704 225640448 241025024 331409408 451280896 482050048 662818816 964100096 1325637632 1928200192 2651275264 5302550528 10605101056 21210202112