Search a number
-
+
1001010110010 = 235311076354957
BaseRepresentation
bin11101001000100001101…
…10100001111000111010
310112200210010010022220220
432210100312201320322
5112400032042010020
62043505132400510
7132214651355121
oct16442066417072
93480703108826
101001010110010
11356587124559
12142004316136
1373519635681
1436640666ab8
151b08a293240
hexe910da1e3a

1001010110010 has 32 divisors (see below), whose sum is σ = 2479921823232. Its totient is φ = 258325189440.

The previous prime is 1001010110003. The next prime is 1001010110099. The reversal of 1001010110010 is 100110101001.

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

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 538176549 + ... + 538178408.

It is an arithmetic number, because the mean of its divisors is an integer number (77497556976).

Almost surely, 21001010110010 is an apocalyptic number.

1001010110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001010110010 is an abundant number, since it is smaller than the sum of its proper divisors (1478911713222).

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

1001010110010 is a wasteful number, since it uses less digits than its factorization.

1001010110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076354998.

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

Adding to 1001010110010 its reverse (100110101001), we get a palindrome (1101120211011).

Subtracting from 1001010110010 its reverse (100110101001), we obtain a palindrome (900900009009).

The spelling of 1001010110010 in words is "one trillion, one billion, ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1076354957 2152709914 3229064871 5381774785 6458129742 10763549570 16145324355 32290648710 33367003667 66734007334 100101011001 166835018335 200202022002 333670036670 500505055005 1001010110010