Search a number
-
+
21222120021210 = 2335101778222223
BaseRepresentation
bin1001101001101001010001…
…11011001101110011011010
32210010211000000220010021000
410310310220323031303122
510240200400211134320
6113045150215325430
74320150626553453
oct464645073156332
983124000803230
1021222120021210
116842283546499
122468ba5080876
13bac311554194
1453522844a12a
1526c0819abc90
hex134d28ecdcda

21222120021210 has 64 divisors (see below), whose sum is σ = 57152640130560. Its totient is φ = 5603199998400.

The previous prime is 21222120021187. The next prime is 21222120021217. The reversal of 21222120021210 is 1212002122212.

It is a happy number.

21222120021210 is a `hidden beast` number, since 2 + 12 + 221 + 200 + 21 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21222120021217) 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, 389083842 + ... + 389138381.

It is an arithmetic number, because the mean of its divisors is an integer number (893010002040).

Almost surely, 221222120021210 is an apocalyptic number.

21222120021210 is an abundant number, since it is smaller than the sum of its proper divisors (35930520109350).

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

21222120021210 is a wasteful number, since it uses less digits than its factorization.

21222120021210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778222340 (or 778222334 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222120021210 its reverse (1212002122212), we get a palindrome (22434122143422).

The spelling of 21222120021210 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 4545 5454 9090 13635 27270 778222223 1556444446 2334666669 3891111115 4669333338 7004000007 7782222230 11673333345 14008000014 21012000021 23346666690 35020000035 42024000042 70040000070 78600444523 105060000105 157200889046 210120000210 235801333569 393002222615 471602667138 707404000707 786004445230 1179006667845 1414808001414 2122212002121 2358013335690 3537020003535 4244424004242 7074040007070 10611060010605 21222120021210