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1013023040200 = 2352172811060313
BaseRepresentation
bin11101011110111001110…
…00001110001011001000
310120211210022120102011021
432233130320032023020
5113044132344241300
62053213143242224
7133121440524163
oct16573470161310
93524708512137
101013023040200
11360691107836
121443b7449374
13746b23766a2
143705dc8cada
151b53ec19d1a
hexebdce0e2c8

1013023040200 has 96 divisors (see below), whose sum is σ = 2502701546760. Its totient is φ = 380015820800.

The previous prime is 1013023040173. The next prime is 1013023040213. The reversal of 1013023040200 is 20403203101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 38178815236 + 974844224964 = 195394^2 + 987342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425244 + ... + 1485556.

Almost surely, 21013023040200 is an apocalyptic number.

1013023040200 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 1013023040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251350773380).

1013023040200 is an abundant number, since it is smaller than the sum of its proper divisors (1489678506560).

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

1013023040200 is a wasteful number, since it uses less digits than its factorization.

1013023040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060627 (or 1060618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1013023040200 its reverse (20403203101), we get a palindrome (1033426243301).

The spelling of 1013023040200 in words is "one trillion, thirteen billion, twenty-three million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 281 340 425 562 680 850 1124 1405 1700 2248 2810 3400 4777 5620 7025 9554 11240 14050 19108 23885 28100 38216 47770 56200 95540 119425 191080 238850 477700 955400 1060313 2120626 4241252 5301565 8482504 10603130 18025321 21206260 26507825 36050642 42412520 53015650 72101284 90126605 106031300 144202568 180253210 212062600 297947953 360506420 450633025 595895906 721012840 901266050 1191791812 1489739765 1802532100 2383583624 2979479530 3605064200 5065115201 5958959060 7448698825 10130230402 11917918120 14897397650 20260460804 25325576005 29794795300 40520921608 50651152010 59589590600 101302304020 126627880025 202604608040 253255760050 506511520100 1013023040200