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102222032121 = 32111760737987
BaseRepresentation
bin101111100110011101…
…0000110110011111001
3100202212000210021021200
41133030322012303321
53133322320011441
6114543220524413
710246104636156
oct1371472066371
9322760707250
10102222032121
113a396743790
1217989b50709
139840c86451
144d3a1d522d
1529d43597b6
hex17cce86cf9

102222032121 has 24 divisors (see below), whose sum is σ = 170552270304. Its totient is φ = 58308466560.

The previous prime is 102222032093. The next prime is 102222032141. The reversal of 102222032121 is 121230222201.

102222032121 is a `hidden beast` number, since 102 + 2 + 220 + 321 + 21 = 666.

It is not a de Polignac number, because 102222032121 - 210 = 102222031097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222032094 and 102222032103.

It is not an unprimeable number, because it can be changed into a prime (102222032141) 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, 30367311 + ... + 30370676.

It is an arithmetic number, because the mean of its divisors is an integer number (7106344596).

Almost surely, 2102222032121 is an apocalyptic number.

102222032121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222032121 is a deficient number, since it is larger than the sum of its proper divisors (68330238183).

102222032121 is a wasteful number, since it uses less digits than its factorization.

102222032121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60738021 (or 60738018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102222032121 its reverse (121230222201), we get a palindrome (223452254322).

The spelling of 102222032121 in words is "one hundred two billion, two hundred twenty-two million, thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 60737987 182213961 546641883 668117857 1032545779 2004353571 3097637337 6013060713 9292912011 11358003569 34074010707 102222032121