Search a number
-
+
1110101101010 = 25114110117314087
BaseRepresentation
bin10000001001110111001…
…011101000100111010010
310221010100212001212100222
4100021313023220213102
5121141441340213020
62205550131113042
7143126224445426
oct20116713504722
93833325055328
101110101101010
11398878149760
1215b18a742782
13808b3703415
143ba2cc26b86
151dd2267eb25
hex102772e89d2

1110101101010 has 128 divisors (see below), whose sum is σ = 2268306851328. Its totient is φ = 387646720000.

The previous prime is 1110101100947. The next prime is 1110101101033. The reversal of 1110101101010 is 101011010111.

It is a super-2 number, since 2×11101011010102 (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 78796187 + ... + 78810273.

It is an arithmetic number, because the mean of its divisors is an integer number (17721147276).

Almost surely, 21110101101010 is an apocalyptic number.

1110101101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1110101101010 is an abundant number, since it is smaller than the sum of its proper divisors (1158205750318).

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

1110101101010 is a wasteful number, since it uses less digits than its factorization.

1110101101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14420.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1110101101010 its reverse (101011010111), we get a palindrome (1211112111121).

It can be divided in two parts, 1 and 110101101010, that added together give a palindrome (110101101011).

The spelling of 1110101101010 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred one thousand, ten".

Divisors: 1 2 5 10 11 22 41 55 82 101 110 173 202 205 346 410 451 505 865 902 1010 1111 1730 1903 2222 2255 3806 4141 4510 5555 7093 8282 9515 11110 14087 14186 17473 19030 20705 28174 34946 35465 41410 45551 70435 70930 78023 87365 91102 140870 154957 156046 174730 192203 227755 309914 384406 390115 455510 577567 716393 774785 780230 961015 1155134 1422787 1432786 1549570 1922030 2437051 2845574 2887835 3581965 4874102 5775670 6353237 7113935 7163930 7880323 12185255 12706474 14227870 15650657 15760646 24370510 26807561 31301314 31766185 39401615 53615122 58334267 63532370 78253285 78803230 99919091 116668534 134037805 156506570 199838182 246142151 268075610 291671335 492284302 499595455 583342670 641676937 999190910 1099110001 1230710755 1283353874 2198220002 2461421510 2707563661 3208384685 5415127322 5495550005 6416769370 10091828191 10991100010 13537818305 20183656382 27075636610 50459140955 100918281910 111010110101 222020220202 555050550505 1110101101010