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1111002921 = 327217148193
BaseRepresentation
bin100001000111000…
…1000111100101001
32212102112210111100
41002032020330221
54233404043141
6302124352013
736350240400
oct10216107451
92772483440
101111002921
1152014aa36
122700a5609
13149233ba2
14a77a4637
156780b0b6
hex42388f29

1111002921 has 36 divisors (see below), whose sum is σ = 1976611572. Its totient is φ = 597510144.

The previous prime is 1111002917. The next prime is 1111003001. The reversal of 1111002921 is 1292001111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 814474521 + 296528400 = 28539^2 + 17220^2 .

It is not a de Polignac number, because 1111002921 - 22 = 1111002917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111002894 and 1111002903.

It is not an unprimeable number, because it can be changed into a prime (1111001921) 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 35 ways as a sum of consecutive naturals, for example, 66600 + ... + 81593.

It is an arithmetic number, because the mean of its divisors is an integer number (54905877).

Almost surely, 21111002921 is an apocalyptic number.

It is an amenable number.

1111002921 is a deficient number, since it is larger than the sum of its proper divisors (865608651).

1111002921 is a wasteful number, since it uses less digits than its factorization.

1111002921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148230 (or 148220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1111002921 is about 33331.7104421600. The cubic root of 1111002921 is about 1035.7105503771.

The spelling of 1111002921 in words is "one billion, one hundred eleven million, two thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 148193 444579 1037351 1333737 2519281 3112053 7261457 7557843 9336159 17634967 21784371 22673529 52904901 65353113 123444769 158714703 370334307 1111002921