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110010101001012 = 223243591204507741
BaseRepresentation
bin11001000000110110111000…
…111111011110101100110100
3112102111212022002100210120200
4121000312320333132230310
5103404401141324013022
61025545535343200500
732112652566563232
oct3100667077365464
9472455262323520
10110010101001012
113206402706a813
12104088402a6130
13494cba5b92c34
141d24735675952
15cab9363c1bac
hex640db8fdeb34

110010101001012 has 72 divisors (see below), whose sum is σ = 289370939938080. Its totient is φ = 35210170255680.

The previous prime is 110010101001011. The next prime is 110010101001029. The reversal of 110010101001012 is 210100101010011.

110010101001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1100101010010122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110010101000985 and 110010101001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010101001011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602162539 + ... + 602345202.

Almost surely, 2110010101001012 is an apocalyptic number.

110010101001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110010101001012 is an abundant number, since it is smaller than the sum of its proper divisors (179360838937068).

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

110010101001012 is a wasteful number, since it uses less digits than its factorization.

110010101001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204507853 (or 1204507848 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010101001012 its reverse (210100101010011), we get a palindrome (320110202011023).

The spelling of 110010101001012 in words is "one hundred ten trillion, ten billion, one hundred one million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 59 86 118 129 172 177 236 258 354 387 516 531 708 774 1062 1548 2124 2537 5074 7611 10148 15222 22833 30444 45666 91332 1204507741 2409015482 3613523223 4818030964 7227046446 10840569669 14454092892 21681139338 43362278676 51793832863 71065956719 103587665726 142131913438 155381498589 207175331452 213197870157 284263826876 310762997178 426395740314 466144495767 621525994356 639593610471 852791480628 932288991534 1279187220942 1864577983068 2558374441884 3055836138917 6111672277834 9167508416751 12223344555668 18335016833502 27502525250253 36670033667004 55005050500506 110010101001012