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10011101001070 = 2513231191088013
BaseRepresentation
bin1001000110101110010000…
…0111100111010101101110
31022110001101211201112111011
42101223210013213111232
52303010213324013240
633143011502015434
72052164262322021
oct221534407472556
938401354645434
1010011101001070
11320a758587474
12115827557757a
13578072c87200
1426877b5b11b8
151256297d36ea
hex91ae41e756e

10011101001070 has 48 divisors (see below), whose sum is σ = 20142205379712. Its totient is φ = 3577167584640.

The previous prime is 10011101001047. The next prime is 10011101001071. The reversal of 10011101001070 is 7010010111001.

It is a super-2 number, since 2×100111010010702 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10011101001070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101001071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95491617 + ... + 95596396.

It is an arithmetic number, because the mean of its divisors is an integer number (419629278744).

Almost surely, 210011101001070 is an apocalyptic number.

10011101001070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011101001070 is an abundant number, since it is smaller than the sum of its proper divisors (10131104378642).

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

10011101001070 is a wasteful number, since it uses less digits than its factorization.

10011101001070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191088077 (or 191088064 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 10011101001070 its reverse (7010010111001), we get a palindrome (17021111112071).

The spelling of 10011101001070 in words is "ten trillion, eleven billion, one hundred one million, one thousand, seventy".

Divisors: 1 2 5 10 13 26 31 62 65 130 155 169 310 338 403 806 845 1690 2015 4030 5239 10478 26195 52390 191088013 382176026 955440065 1910880130 2484144169 4968288338 5923728403 11847456806 12420720845 24841441690 29618642015 32293874197 59237284030 64587748394 77008469239 154016938478 161469370985 322938741970 385042346195 770084692390 1001110100107 2002220200214 5005550500535 10011101001070