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1021035144 = 23347219259
BaseRepresentation
bin111100110110111…
…100001010001000
32122011020221220110
4330312330022020
54042341111034
6245152154320
734205440563
oct7466741210
92564227813
101021035144
114843908a8
12245b389a0
131336c380c
14998654da
155e988de9
hex3cdbc288

1021035144 has 48 divisors (see below), whose sum is σ = 2608189200. Its totient is φ = 333086368.

The previous prime is 1021035143. The next prime is 1021035163. The reversal of 1021035144 is 4415301201.

1021035144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1021035144.

It is not an unprimeable number, because it can be changed into a prime (1021035143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43387 + ... + 62645.

It is an arithmetic number, because the mean of its divisors is an integer number (54337275).

Almost surely, 21021035144 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 1021035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304094600).

1021035144 is an abundant number, since it is smaller than the sum of its proper divisors (1587154056).

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

1021035144 is a wasteful number, since it uses less digits than its factorization.

1021035144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19362 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1021035144 is about 31953.6405437628. The cubic root of 1021035144 is about 1006.9631171309.

Adding to 1021035144 its reverse (4415301201), we get a palindrome (5436336345).

It can be divided in two parts, 10210 and 35144, that added together give a palindrome (45354).

The spelling of 1021035144 in words is "one billion, twenty-one million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2209 4418 6627 8836 13254 17672 19259 26508 38518 53016 57777 77036 115554 154072 231108 462216 905173 1810346 2715519 3620692 5431038 7241384 10862076 21724152 42543131 85086262 127629393 170172524 255258786 340345048 510517572 1021035144