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102312232022 = 271113234195303
BaseRepresentation
bin101111101001001001…
…0001100010001010110
3100210002022111220021202
41133102102030101112
53134013412411042
6115000202112502
710251251423510
oct1372222142126
9323068456252
10102312232022
113a432651260
12179b41ab732
139856878380
144d48194bb0
1529dc225632
hex17d248c456

102312232022 has 128 divisors (see below), whose sum is σ = 215568138240. Its totient is φ = 35105178240.

The previous prime is 102312232021. The next prime is 102312232037. The reversal of 102312232022 is 220232213201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102312231985 and 102312232003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312232021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19290623 + ... + 19295925.

It is an arithmetic number, because the mean of its divisors is an integer number (1684126080).

Almost surely, 2102312232022 is an apocalyptic number.

102312232022 is an abundant number, since it is smaller than the sum of its proper divisors (113255906218).

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

102312232022 is a wasteful number, since it uses less digits than its factorization.

102312232022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102312232022 its reverse (220232213201), we get a palindrome (322544445223).

The spelling of 102312232022 in words is "one hundred two billion, three hundred twelve million, two hundred thirty-two thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 253 286 299 322 419 506 598 838 1001 1771 2002 2093 2933 3289 3542 4186 4609 5303 5447 5866 6578 9218 9637 10606 10894 19274 23023 32263 37121 38129 46046 58333 59917 64526 67459 68939 74242 76258 106007 116666 119834 121969 125281 134918 137878 212014 243938 250562 408331 419419 482573 742049 758329 816662 838838 853783 876967 965146 1341659 1378091 1484098 1516658 1585597 1707566 1753934 2221957 2683318 2756182 3171194 4443914 5308303 9391613 9646637 10616606 11099179 15553699 17441567 18783226 19293274 22198358 24441527 28885441 31107398 34883134 48883054 51105011 57770882 102210022 122090969 171090689 202198087 244181938 317739851 342181378 357735077 404396174 562155121 635479702 664365143 715470154 1124310242 1328730286 2224178957 3935085847 4448357914 4650556001 7308016573 7870171694 9301112002 14616033146 51156116011 102312232022