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1010010110100 = 2235210133333667
BaseRepresentation
bin11101011001010010100…
…10110011100010010100
310120120000100012201001120
432230221102303202110
5113022000042010400
62051554153523540
7132653664166335
oct16545122634224
93516010181046
101010010110100
1135a385415862
121438b64135b0
13743220b5a04
1436c55a7c28c
151b41546eca0
hexeb294b3894

1010010110100 has 72 divisors (see below), whose sum is σ = 2951229630048. Its totient is φ = 266669328000.

The previous prime is 1010010110063. The next prime is 1010010110147. The reversal of 1010010110100 is 10110100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16636534 + ... + 16697133.

Almost surely, 21010010110100 is an apocalyptic number.

1010010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010110100 is an abundant number, since it is smaller than the sum of its proper divisors (1941219519948).

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

1010010110100 is a wasteful number, since it uses less digits than its factorization.

1010010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333785 (or 33333778 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010010110100 its reverse (10110100101), we get a palindrome (1020120210201).

Subtracting from 1010010110100 its reverse (10110100101), we obtain a palindrome (999900009999).

The spelling of 1010010110100 in words is "one trillion, ten billion, ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 33333667 66667334 100001001 133334668 166668335 200002002 333336670 400004004 500005005 666673340 833341675 1000010010 1666683350 2000020020 2500025025 3333366700 3366700367 5000050050 6733400734 10000100100 10100101101 13466801468 16833501835 20200202202 33667003670 40400404404 50500505505 67334007340 84167509175 101001011010 168335018350 202002022020 252502527525 336670036700 505005055050 1010010110100