Search a number
-
+
1010000010110 = 257133972795693
BaseRepresentation
bin11101011001010001011…
…00010001101101111110
310120112222122012120110212
432230220230101231332
5113021440000310420
62051553153232422
7132653512302320
oct16545054215576
93515878176425
101010000010110
1135a37a747563
121438b2b62712
137431cc8a7a0
1436c545ad610
151b4146273c5
hexeb28b11b7e

1010000010110 has 64 divisors (see below), whose sum is σ = 2243175403392. Its totient is φ = 318843081216.

The previous prime is 1010000010079. The next prime is 1010000010133. The reversal of 1010000010110 is 110100000101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 1010000010094 and 1010000010103.

It is a congruent 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, 1036577 + ... + 1759116.

It is an arithmetic number, because the mean of its divisors is an integer number (35049615678).

Almost surely, 21010000010110 is an apocalyptic number.

1010000010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010000010110 is an abundant number, since it is smaller than the sum of its proper divisors (1233175393282).

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

1010000010110 is a wasteful number, since it uses less digits than its factorization.

1010000010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796117.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010000010110 its reverse (110100000101), we get a palindrome (1120100010211).

The spelling of 1010000010110 in words is "one trillion, ten billion, ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 397 455 794 910 1985 2779 3970 5161 5558 10322 13895 25805 27790 36127 51610 72254 180635 361270 2795693 5591386 13978465 19569851 27956930 36344009 39139702 72688018 97849255 181720045 195698510 254408063 363440090 508816126 1109890121 1272040315 2219780242 2544080630 5549450605 7769230847 11098901210 14428571573 15538461694 28857143146 38846154235 72142857865 77692308470 101000001011 144285715730 202000002022 505000005055 1010000010110