Search a number
-
+
22010102212221 = 34957372838293
BaseRepresentation
bin1010000000100101000000…
…10100101110011001111101
32212221010220212101220120000
411000102200110232121331
510341103142131242341
6114451145032344513
74431114564636504
oct500224024563175
985833825356500
1022010102212221
117016482995442
122575856845139
13c3870b771c76
1456141a67983b
152827eebb18b6
hex1404a052e67d

22010102212221 has 20 divisors (see below), whose sum is σ = 32879643507612. Its totient is φ = 14673243037248.

The previous prime is 22010102212183. The next prime is 22010102212289. The reversal of 22010102212221 is 12221220101022.

It is a happy number.

22010102212221 is a `hidden beast` number, since 220 + 1 + 0 + 1 + 0 + 221 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20359172748996 + 1650929463225 = 4512114^2 + 1284885^2 .

It is not a de Polignac number, because 22010102212221 - 230 = 22009028470397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22010102212194 and 22010102212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010102212291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6335551 + ... + 9173843.

Almost surely, 222010102212221 is an apocalyptic number.

It is an amenable number.

22010102212221 is a deficient number, since it is larger than the sum of its proper divisors (10869541295391).

22010102212221 is an equidigital number, since it uses as much as digits as its factorization.

22010102212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934042 (or 2934033 counting only the distinct ones).

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

Adding to 22010102212221 its reverse (12221220101022), we get a palindrome (34231322313243).

It can be divided in two parts, 220101022 and 12221, that multiplied together give a palindrome (2689854589862).

The spelling of 22010102212221 in words is "twenty-two trillion, ten billion, one hundred two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 95737 287211 861633 2584899 2838293 7754697 8514879 25544637 76633911 229901733 271729656941 815188970823 2445566912469 7336700737407 22010102212221