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1053000102 = 2372111917137
BaseRepresentation
bin111110110000111…
…000000110100110
32201101101221120210
4332300320012212
54124032000402
6252253240250
735044232100
oct7660700646
92641357523
101053000102
114a0433620
12254793086
1313a205cab
149dbc6570
15626a006c
hex3ec381a6

1053000102 has 96 divisors (see below), whose sum is σ = 2813374080. Its totient is φ = 259096320.

The previous prime is 1053000097. The next prime is 1053000103. The reversal of 1053000102 is 2010003501.

1053000102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10530001022 = 2217618429624020808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52878 + ... + 70014.

It is an arithmetic number, because the mean of its divisors is an integer number (29305980).

Almost surely, 21053000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406687040).

1053000102 is an abundant number, since it is smaller than the sum of its proper divisors (1760373978).

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

1053000102 is a wasteful number, since it uses less digits than its factorization.

1053000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17186 (or 17179 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1053000102 is about 32449.9630508264. The cubic root of 1053000102 is about 1017.3634657536.

Adding to 1053000102 its reverse (2010003501), we get a palindrome (3063003603).

The spelling of 1053000102 in words is "one billion, fifty-three million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 798 931 1078 1254 1463 1617 1862 2793 2926 3234 4389 5586 8778 10241 17137 20482 30723 34274 51411 61446 102822 119959 188507 239918 325603 359877 377014 565521 651206 719754 839713 976809 1131042 1319549 1679426 1953618 2279221 2519139 2639098 3581633 3958647 4558442 5038278 6837663 7163266 7917294 9236843 10744899 13675326 15954547 18473686 21489798 25071431 27710529 31909094 47863641 50142862 55421058 75214293 95727282 150428586 175500017 351000034 526500051 1053000102