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1021201993 = 72169712281
BaseRepresentation
bin111100110111100…
…100111001001001
32122011120102210001
4330313210321021
54042411430433
6245155523001
734210034200
oct7467447111
92564512701
101021201993
11484495199
12245bb9461
13133751746
14998aa237
155e9bd57d
hex3cde4e49

1021201993 has 12 divisors (see below), whose sum is σ = 1188725652. Its totient is φ = 874728960.

The previous prime is 1021201991. The next prime is 1021201997. The reversal of 1021201993 is 3991021201.

It can be written as a sum of positive squares in 2 ways, for example, as 943902729 + 77299264 = 30723^2 + 8792^2 .

It is not a de Polignac number, because 1021201993 - 21 = 1021201991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021201991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77013 + ... + 89293.

It is an arithmetic number, because the mean of its divisors is an integer number (99060471).

Almost surely, 21021201993 is an apocalyptic number.

It is an amenable number.

1021201993 is a deficient number, since it is larger than the sum of its proper divisors (167523659).

1021201993 is a wasteful number, since it uses less digits than its factorization.

1021201993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992 (or 13985 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 1021201993 is about 31956.2512350870. The cubic root of 1021201993 is about 1007.0179639659.

The spelling of 1021201993 in words is "one billion, twenty-one million, two hundred one thousand, nine hundred ninety-three".

Divisors: 1 7 49 1697 11879 12281 83153 85967 601769 20840857 145885999 1021201993