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102020333022 = 232291094214259
BaseRepresentation
bin101111100000011100…
…0101011110111011110
3100202022222020220010200
41133000320223313132
53132414201124042
6114511213444330
710241105344146
oct1370070536736
9322288226120
10102020333022
113a2a2900213
12179324a06a6
13980b25597a
144d1b4cd926
1529c17b6c4c
hex17c0e2bdde

102020333022 has 96 divisors (see below), whose sum is σ = 231366564000. Its totient is φ = 32448003840.

The previous prime is 102020333021. The next prime is 102020333027. The reversal of 102020333022 is 220333020201.

It is a happy number.

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 = 102020332986 and 102020333004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020333021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23951929 + ... + 23956187.

It is an arithmetic number, because the mean of its divisors is an integer number (2410068375).

Almost surely, 2102020333022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020333022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115683282000).

102020333022 is an abundant number, since it is smaller than the sum of its proper divisors (129346230978).

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

102020333022 is a wasteful number, since it uses less digits than its factorization.

102020333022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102020333022 its reverse (220333020201), we get a palindrome (322353353223).

The spelling of 102020333022 in words is "one hundred two billion, twenty million, three hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 109 174 218 261 327 421 522 654 842 981 1263 1962 2526 3161 3789 4259 6322 7578 8518 9483 12209 12777 18966 24418 25554 28449 36627 38331 45889 56898 73254 76662 91778 109881 123511 137667 219762 247022 275334 370533 413001 464231 741066 826002 928462 1111599 1330781 1392693 1793039 2223198 2661562 2785386 3586078 3992343 4178079 5379117 7984686 8356158 10758234 11977029 13462699 16137351 23954058 26925398 32274702 40388097 51998131 80776194 103996262 121164291 155994393 195441251 242328582 311988786 390882502 467983179 586323753 935966358 1172647506 1758971259 3517942518 5667796279 11335592558 17003388837 34006777674 51010166511 102020333022