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102023330033020 = 22511795870157079
BaseRepresentation
bin10111001100101000101000…
…010110000110110101111100
3111101020100001021201212000211
4113030220220112012311330
5101333022234442024040
61000552512031202204
730326641140513304
oct2714505026066574
9441210037655024
10102023330033020
112a564940074090
12b53897a976364
1344c09b2c51286
141b29d53d40604
15bbdcdaa4e8ea
hex5cca28586d7c

102023330033020 has 48 divisors (see below), whose sum is σ = 236684733465600. Its totient is φ = 36629780166720.

The previous prime is 102023330032997. The next prime is 102023330033063. The reversal of 102023330033020 is 20330033320201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102023330032982 and 102023330033000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2935061160 + ... + 2935095919.

It is an arithmetic number, because the mean of its divisors is an integer number (4930931947200).

Almost surely, 2102023330033020 is an apocalyptic number.

102023330033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102023330033020 is an abundant number, since it is smaller than the sum of its proper divisors (134661403432580).

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

102023330033020 is a wasteful number, since it uses less digits than its factorization.

102023330033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870157178 (or 5870157176 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 102023330033020 its reverse (20330033320201), we get a palindrome (122353363353221).

The spelling of 102023330033020 in words is "one hundred two trillion, twenty-three billion, three hundred thirty million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 5870157079 11740314158 23480628316 29350785395 58701570790 64571727869 117403141580 129143455738 258286911476 322858639345 463742409241 645717278690 927484818482 1291434557380 1854969636964 2318712046205 4637424092410 5101166501651 9274848184820 10202333003302 20404666006604 25505832508255 51011665016510 102023330033020