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102022201122021 = 3261643289009003
BaseRepresentation
bin10111001100100111100101…
…000011101001110011100101
3111101020020010121111020021100
4113030213211003221303211
5101333012431441401041
61000552204022510313
730326601152105505
oct2714474503516345
9441206117436240
10102022201122021
112a564410902594
12b538704895399
1344c08630ba1bb
141b29c88037a05
15bbdc718a76b6
hex5cc9e50e9ce5

102022201122021 has 24 divisors (see below), whose sum is σ = 150014169652256. Its totient is φ = 66795760542240.

The previous prime is 102022201122007. The next prime is 102022201122053. The reversal of 102022201122021 is 120221102220201.

It is a happy number.

102022201122021 is a `hidden beast` number, since 1 + 0 + 202 + 220 + 1 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 102022201122021 - 26 = 102022201121957 is a prime.

It is a super-2 number, since 2×1020222011220212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102022201121985 and 102022201122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022201122091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144151495 + ... + 144857508.

Almost surely, 2102022201122021 is an apocalyptic number.

It is an amenable number.

102022201122021 is a deficient number, since it is larger than the sum of its proper divisors (47991968530235).

102022201122021 is a wasteful number, since it uses less digits than its factorization.

102022201122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289009713 (or 289009710 counting only the distinct ones).

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

Adding to 102022201122021 its reverse (120221102220201), we get a palindrome (222243303342222).

The spelling of 102022201122021 in words is "one hundred two trillion, twenty-two billion, two hundred one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 61 183 549 643 1929 5787 39223 117669 353007 289009003 867027009 2601081027 17629549183 52888647549 158665942647 185832788929 557498366787 1672495100361 11335800124669 34007400374007 102022201122021