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1021113313 = 1121723113191
BaseRepresentation
bin111100110111001…
…111001111100001
32122011101221010121
4330313033033201
54042401111223
6245154000241
734206214513
oct7467171741
92564357117
101021113313
11484434600
12245b76081
1313372027c
1499885bb3
155e9a215d
hex3cdcf3e1

1021113313 has 48 divisors (see below), whose sum is σ = 1257596928. Its totient is φ = 823961600.

The previous prime is 1021113307. The next prime is 1021113341. The reversal of 1021113313 is 3133111201.

It is not a de Polignac number, because 1021113313 - 25 = 1021113281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021153313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5346048 + ... + 5346238.

It is an arithmetic number, because the mean of its divisors is an integer number (26199936).

Almost surely, 21021113313 is an apocalyptic number.

It is an amenable number.

1021113313 is a deficient number, since it is larger than the sum of its proper divisors (236483615).

1021113313 is a wasteful number, since it uses less digits than its factorization.

1021113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1021113313 is about 31954.8636830139. The cubic root of 1021113313 is about 1006.9888136970.

Adding to 1021113313 its reverse (3133111201), we get a palindrome (4154224514).

The spelling of 1021113313 in words is "one billion, twenty-one million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 11 17 23 113 121 187 191 253 391 1243 1921 2057 2101 2599 2783 3247 4301 4393 13673 21131 21583 23111 28589 35717 44183 47311 48323 74681 232441 237413 314479 366911 392887 486013 496409 531553 821491 2611543 4036021 5346143 5460499 8438953 9036401 44396231 60065489 92828483 1021113313