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1021133304 = 23343150833
BaseRepresentation
bin111100110111010…
…100000111111000
32122011102221120000
4330313110013320
54042402231204
6245154233000
734206330012
oct7467240770
92564387500
101021133304
11484448624
12245b85760
131337293b9
149988d1b2
155e9a8039
hex3cdd41f8

1021133304 has 80 divisors (see below), whose sum is σ = 2952438720. Its totient is φ = 329391360.

The previous prime is 1021133303. The next prime is 1021133371. The reversal of 1021133304 is 4033311201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021133303) 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 19 ways as a sum of consecutive naturals, for example, 5329 + ... + 45504.

It is an arithmetic number, because the mean of its divisors is an integer number (36905484).

Almost surely, 21021133304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021133304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476219360).

1021133304 is an abundant number, since it is smaller than the sum of its proper divisors (1931305416).

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

1021133304 is a wasteful number, since it uses less digits than its factorization.

1021133304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50882 (or 50869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1021133304 is about 31955.1764820663. The cubic root of 1021133304 is about 1006.9953851460.

Adding to 1021133304 its reverse (4033311201), we get a palindrome (5054444505).

The spelling of 1021133304 in words is "one billion, twenty-one million, one hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 50833 101666 152499 203332 304998 406664 457497 609996 914994 1219992 1372491 1575823 1829988 2744982 3151646 3659976 4117473 4727469 5489964 6303292 8234946 9454938 10979928 12606584 14182407 16469892 18909876 28364814 32939784 37819752 42547221 56729628 85094442 113459256 127641663 170188884 255283326 340377768 510566652 1021133304