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102210011121 = 32337149268693
BaseRepresentation
bin101111100110000110…
…0001111111111110001
3100202211012011112120110
41133030030033333301
53133311230323441
6114542111131533
710245600521421
oct1371414177761
9322735145513
10102210011121
113a38a983179
1217985b13ba9
13983b637a2a
144d38786481
1529d3282b16
hex17cc30fff1

102210011121 has 32 divisors (see below), whose sum is σ = 147029356800. Its totient is φ = 62990002944.

The previous prime is 102210011117. The next prime is 102210011131. The reversal of 102210011121 is 121110012201.

It is not a de Polignac number, because 102210011121 - 22 = 102210011117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102210011097 and 102210011106.

It is not an unprimeable number, because it can be changed into a prime (102210011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246051 + ... + 514743.

It is an arithmetic number, because the mean of its divisors is an integer number (4594667400).

Almost surely, 2102210011121 is an apocalyptic number.

It is an amenable number.

102210011121 is a deficient number, since it is larger than the sum of its proper divisors (44819345679).

102210011121 is a wasteful number, since it uses less digits than its factorization.

102210011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268905.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102210011121 its reverse (121110012201), we get a palindrome (223320023322).

The spelling of 102210011121 in words is "one hundred two billion, two hundred ten million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 23 37 69 111 149 447 851 2553 3427 5513 10281 16539 126799 268693 380397 806079 6179939 9941641 18539817 29824923 40035257 120105771 228657743 685973229 920810911 1481304509 2762432733 4443913527 34070003707 102210011121