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1010011000110 = 235721936162227
BaseRepresentation
bin11101011001010010101…
…10001100110100101110
310120120000101212220220220
432230221112030310232
5113022000304000420
62051554224552210
7132654004564200
oct16545126146456
93516011786826
101010011000110
1135a385973502
121438b6782666
1374322337b48
1436c55c30770
151b415598840
hexeb2958cd2e

1010011000110 has 96 divisors (see below), whose sum is σ = 2968195674240. Its totient is φ = 218709142848.

The previous prime is 1010011000057. The next prime is 1010011000111. The reversal of 1010011000110 is 110001100101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011000111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18053184 + ... + 18109043.

It is an arithmetic number, because the mean of its divisors is an integer number (30918704940).

Almost surely, 21010011000110 is an apocalyptic number.

1010011000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010011000110 is an abundant number, since it is smaller than the sum of its proper divisors (1958184674130).

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

1010011000110 is a wasteful number, since it uses less digits than its factorization.

1010011000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36162270 (or 36162263 counting only the distinct ones).

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

Adding to 1010011000110 its reverse (110001100101), we get a palindrome (1120012100211).

Subtracting from 1010011000110 its reverse (110001100101), we obtain a palindrome (900009900009).

The spelling of 1010011000110 in words is "one trillion, ten billion, eleven million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 13965 27930 36162227 72324454 108486681 180811135 216973362 253135589 361622270 506271178 542433405 687082313 759406767 1084866810 1265677945 1374164626 1518813534 1771949123 2061246939 2531355890 3435411565 3543898246 3797033835 4122493878 4809576191 5315847369 6870823130 7594067670 8859745615 9619152382 10306234695 10631694738 14428728573 17719491230 20612469390 24047880955 26579236845 28857457146 33667033337 48095761910 53158473690 67334066674 72143642865 101001100011 144287285730 168335166685 202002200022 336670333370 505005500055 1010011000110