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21002101102020 = 22351973177412579
BaseRepresentation
bin1001100011001111011101…
…10001101001010111000100
32202100210002112110222021010
410301213232301221113010
510223044300340231040
6112400122042322220
74265231433604533
oct461475661512704
982323075428233
1021002101102020
116767a39603a85
1224324211b9370
13b94649964bbc
1452871575a31a
152664a5cd0e80
hex1319eec695c4

21002101102020 has 48 divisors (see below), whose sum is σ = 58835688730560. Its totient is φ = 5597721661056.

The previous prime is 21002101102019. The next prime is 21002101102027. The reversal of 21002101102020 is 2020110120012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21002101101987 and 21002101102005.

It is not an unprimeable number, because it can be changed into a prime (21002101102027) by changing a digit.

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, 88587910 + ... + 88824669.

It is an arithmetic number, because the mean of its divisors is an integer number (1225743515220).

Almost surely, 221002101102020 is an apocalyptic number.

21002101102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002101102020 is an abundant number, since it is smaller than the sum of its proper divisors (37833587628540).

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

21002101102020 is a wasteful number, since it uses less digits than its factorization.

21002101102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177414564 (or 177414562 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21002101102020 its reverse (2020110120012), we get a palindrome (23022211222032).

The spelling of 21002101102020 in words is "twenty-one trillion, two billion, one hundred one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1973 3946 5919 7892 9865 11838 19730 23676 29595 39460 59190 118380 177412579 354825158 532237737 709650316 887062895 1064475474 1774125790 2128950948 2661188685 3548251580 5322377370 10644754740 350035018367 700070036734 1050105055101 1400140073468 1750175091835 2100210110202 3500350183670 4200420220404 5250525275505 7000700367340 10501050551010 21002101102020