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22130300032020 = 22325122946111289
BaseRepresentation
bin1010000100000100111001…
…01011000001010000010100
32220100122011122210210210200
411002002130223001100110
510400040323302011040
6115022304113020500
74442601315356145
oct502023453012024
986318148723720
1022130300032020
1170624534834a4
122595000854730
13c46b5592c16b
1456717dd97acc
152859d71e0630
hex14209cac1414

22130300032020 has 36 divisors (see below), whose sum is σ = 67128576764340. Its totient is φ = 5901413341824.

The previous prime is 22130300032013. The next prime is 22130300032021. The reversal of 22130300032020 is 2023000303122.

It is a happy number.

22130300032020 is a `hidden beast` number, since 2 + 21 + 3 + 0 + 300 + 0 + 320 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14130351649296 + 7999948382724 = 3759036^2 + 2828418^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 22130300031984 and 22130300032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130300032021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61473055465 + ... + 61473055824.

Almost surely, 222130300032020 is an apocalyptic number.

22130300032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22130300032020 is an abundant number, since it is smaller than the sum of its proper divisors (44998276732320).

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

22130300032020 is a wasteful number, since it uses less digits than its factorization.

22130300032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122946111304 (or 122946111299 counting only the distinct ones).

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

Adding to 22130300032020 its reverse (2023000303122), we get a palindrome (24153300335142).

The spelling of 22130300032020 in words is "twenty-two trillion, one hundred thirty billion, three hundred million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122946111289 245892222578 368838333867 491784445156 614730556445 737676667734 1106515001601 1229461112890 1475353335468 1844191669335 2213030003202 2458922225780 3688383338670 4426060006404 5532575008005 7376766677340 11065150016010 22130300032020