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102222021222 = 235223943199
BaseRepresentation
bin101111100110011101…
…0000100001001100110
3100202212000202201100000
41133030322010021212
53133322314134342
6114543220402130
710246104562326
oct1371472041146
9322760681300
10102222021222
113a396736582
1217989b46346
139840c814b9
144d3a1d1286
1529d435644c
hex17cce84266

102222021222 has 48 divisors (see below), whose sum is σ = 230714265600. Its totient is φ = 33921172872.

The previous prime is 102222021221. The next prime is 102222021257. The reversal of 102222021222 is 222120222201.

Adding to 102222021222 its reverse (222120222201), we get a palindrome (324342243423).

It is a super-3 number, since 3×1022220212223 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102222021195 and 102222021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222021221) 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, 363222 + ... + 579977.

It is an arithmetic number, because the mean of its divisors is an integer number (4806547200).

Almost surely, 2102222021222 is an apocalyptic number.

102222021222 is an abundant number, since it is smaller than the sum of its proper divisors (128492244378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102222021222 is an equidigital number, since it uses as much as digits as its factorization.

102222021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943439 (or 943427 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 102222021222 in words is "one hundred two billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 243 446 486 669 1338 2007 4014 6021 12042 18063 36126 54189 108378 943199 1886398 2829597 5659194 8488791 16977582 25466373 50932746 76399119 152798238 210333377 229197357 420666754 458394714 631000131 1262000262 1893000393 3786000786 5679001179 11358002358 17037003537 34074007074 51111010611 102222021222