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102222122331 = 3737472799149
BaseRepresentation
bin101111100110011101…
…0011100110101011011
3100202212000221212000210
41133030322130311123
53133322330403311
6114543222502203
710246105463160
oct1371472346533
9322760855023
10102222122331
113a3967a553a
1217989b94963
139840cb8524
144d3a21a067
1529d43763a6
hex17cce9cd5b

102222122331 has 32 divisors (see below), whose sum is σ = 163380787200. Its totient is φ = 55624669056.

The previous prime is 102222122309. The next prime is 102222122333. The reversal of 102222122331 is 133221222201.

It is not a de Polignac number, because 102222122331 - 218 = 102221860187 is a prime.

It is a super-2 number, since 2×1022221223312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102222122298 and 102222122307.

It is not an unprimeable number, because it can be changed into a prime (102222122333) 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, 1363056 + ... + 1436093.

It is an arithmetic number, because the mean of its divisors is an integer number (5105649600).

Almost surely, 2102222122331 is an apocalyptic number.

102222122331 is a deficient number, since it is larger than the sum of its proper divisors (61158664869).

102222122331 is a wasteful number, since it uses less digits than its factorization.

102222122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799243.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102222122331 its reverse (133221222201), we get a palindrome (235443344532).

The spelling of 102222122331 in words is "one hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 37 47 111 141 259 329 777 987 1739 5217 12173 36519 2799149 8397447 19594043 58782129 103568513 131560003 310705539 394680009 724979591 920920021 2174938773 2762760063 4867720111 14603160333 34074040777 102222122331