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10219638021 = 337974871949
BaseRepresentation
bin10011000010010001…
…10100110100000101
3222101020001101211220
421201020310310011
5131412211404041
64410030150553
7511152330015
oct114110646405
928336041756
1010219638021
1143747a033a
121b92652459
13c6b35c1b8
146cd3b7c45
153ec2e5d66
hex261234d05

10219638021 has 32 divisors (see below), whose sum is σ = 14175033600. Its totient is φ = 6543783936.

The previous prime is 10219637999. The next prime is 10219638031. The reversal of 10219638021 is 12083691201.

10219638021 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10219638021 - 211 = 10219635973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10219638031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5242555 + ... + 5244503.

It is an arithmetic number, because the mean of its divisors is an integer number (442969800).

Almost surely, 210219638021 is an apocalyptic number.

It is an amenable number.

10219638021 is a deficient number, since it is larger than the sum of its proper divisors (3955395579).

10219638021 is a wasteful number, since it uses less digits than its factorization.

10219638021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573.

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 10219638021 in words is "ten billion, two hundred nineteen million, six hundred thirty-eight thousand, twenty-one".

Divisors: 1 3 37 97 111 291 487 1461 1949 3589 5847 10767 18019 47239 54057 72113 141717 189053 216339 567159 949163 1747843 2847489 5243529 6994961 20984883 35119031 92068811 105357093 276206433 3406546007 10219638021