Search a number
-
+
21213211110 = 23571337210011
BaseRepresentation
bin10011110000011001…
…111110100111100110
32000202101101210000120
4103300121332213212
5321421040223420
613424544422410
71350453214350
oct236031764746
960671353016
1021213211110
118aa6339533
124140317a06
132000b46430
1410534940d0
15842515d40
hex4f067e9e6

21213211110 has 128 divisors (see below), whose sum is σ = 64354397184. Its totient is φ = 4354767360.

The previous prime is 21213211087. The next prime is 21213211111. The reversal of 21213211110 is 1111231212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21213211110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213211111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3996 + ... + 206015.

It is an arithmetic number, because the mean of its divisors is an integer number (502768728).

Almost surely, 221213211110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32177198592).

21213211110 is an abundant number, since it is smaller than the sum of its proper divisors (43141186074).

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

21213211110 is a wasteful number, since it uses less digits than its factorization.

21213211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210078.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21213211110 its reverse (1111231212), we get a palindrome (22324442322).

The spelling of 21213211110 in words is "twenty-one billion, two hundred thirteen million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 20202 33670 50505 101010 210011 420022 630033 1050055 1260066 1470077 2100110 2730143 2940154 3150165 4410231 5460286 6300330 7350385 7770407 8190429 8820462 13650715 14700770 15540814 16380858 19111001 22051155 23311221 27301430 38222002 38852035 40952145 44102310 46622442 54392849 57333003 77704070 81904290 95555005 101015291 108785698 114666006 116556105 163178547 191110010 202030582 233112210 271964245 286665015 303045873 326357094 505076455 543928490 573330030 606091746 707107037 815892735 1010152910 1414214074 1515229365 1631785470 2121321111 3030458730 3535535185 4242642222 7071070370 10606605555 21213211110