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1010013323300 = 2252412273672957
BaseRepresentation
bin11101011001010010111…
…11000100000000100100
310120120000120020221201222
432230221133010000210
5113022001402321200
62051554350435512
7132654033411302
oct16545137040044
93516016227658
101010013323300
1135a38720a9a3
121438b7502b98
137432296c407
1436c56277272
151b4158a6d85
hexeb297c4024

1010013323300 has 144 divisors (see below), whose sum is σ = 2261985723648. Its totient is φ = 391213593600.

The previous prime is 1010013323279. The next prime is 1010013323351. The reversal of 1010013323300 is 33233100101.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 341565422 + ... + 341568378.

It is an arithmetic number, because the mean of its divisors is an integer number (15708234192).

Almost surely, 21010013323300 is an apocalyptic number.

1010013323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010013323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130992861824).

1010013323300 is an abundant number, since it is smaller than the sum of its proper divisors (1251972400348).

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

1010013323300 is a wasteful number, since it uses less digits than its factorization.

1010013323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1010013323300 its reverse (33233100101), we get a palindrome (1043246423401).

The spelling of 1010013323300 in words is "one trillion, ten billion, thirteen million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 227 367 410 454 734 820 908 1025 1135 1468 1835 2050 2270 2957 3670 4100 4540 5675 5914 7340 9175 9307 11350 11828 14785 15047 18350 18614 22700 29570 30094 36700 37228 46535 59140 60188 73925 75235 83309 93070 121237 147850 150470 166618 186140 232675 242474 295700 300940 333236 376175 416545 465350 484948 606185 671239 752350 833090 930700 1085219 1212370 1342478 1504700 1666180 2082725 2170438 2424740 2684956 3030925 3356195 3415669 4165450 4340876 5426095 6061850 6712390 6831338 8330900 10852190 12123700 13424780 13662676 16780975 17078345 21704380 27130475 27520799 33561950 34156690 44493979 54260950 55041598 67123900 68313380 85391725 88987958 108521900 110083196 137603995 170783450 177975916 222469895 246344713 275207990 341566900 444939790 492689426 550415980 688019975 889879580 985378852 1112349475 1231723565 1376039950 2224698950 2463447130 2752079900 4449397900 4926894260 6158617825 10100133233 12317235650 20200266466 24634471300 40400532932 50500666165 101001332330 202002664660 252503330825 505006661650 1010013323300