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1000506011010 = 235114751638147
BaseRepresentation
bin11101000111100101100…
…11100010110110000010
310112122110222120110002120
432203302303202312002
5112343014014323020
62043343124025110
7132166320526542
oct16436263426602
93478428513076
101000506011010
11356348618510
12141aa3532196
137346907693c
14365d3725322
151b05adba740
hexe8f2ce2d82

1000506011010 has 64 divisors (see below), whose sum is σ = 2620062111744. Its totient is φ = 242495480000.

The previous prime is 1000506010921. The next prime is 1000506011053. The reversal of 1000506011010 is 101106050001.

1000506011010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248757 + ... + 1886903.

It is an arithmetic number, because the mean of its divisors is an integer number (40938470496).

Almost surely, 21000506011010 is an apocalyptic number.

1000506011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000506011010 is an abundant number, since it is smaller than the sum of its proper divisors (1619556100734).

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

1000506011010 is a wasteful number, since it uses less digits than its factorization.

1000506011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642919.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 1000506011010 in words is "one trillion, five hundred six million, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 4751 9502 14253 23755 28506 47510 52261 71265 104522 142530 156783 261305 313566 522610 638147 783915 1276294 1567830 1914441 3190735 3828882 6381470 7019617 9572205 14039234 19144410 21058851 35098085 42117702 70196170 105294255 210588510 3031836397 6063672794 9095509191 15159181985 18191018382 30318363970 33350200367 45477545955 66700400734 90955091910 100050601101 166751001835 200101202202 333502003670 500253005505 1000506011010