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110102001012 = 223231611316139
BaseRepresentation
bin110011010001010010…
…1110011010101110100
3101112012012100011110100
41212202211303111310
53300442103013022
6122325151554100
710645300365333
oct1464245632564
9345165304410
10110102001012
114276a788a73
1219408b2b930
13a4c8691433
145486975d1a
152ce60451ac
hex19a2973574

110102001012 has 72 divisors (see below), whose sum is σ = 287356043520. Its totient is φ = 35508764160.

The previous prime is 110102000963. The next prime is 110102001071. The reversal of 110102001012 is 210100201011.

It is a happy number.

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 = 110102000985 and 110102001003.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 6814039 + ... + 6830177.

It is an arithmetic number, because the mean of its divisors is an integer number (3991056160).

Almost surely, 2110102001012 is an apocalyptic number.

110102001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110102001012 is an abundant number, since it is smaller than the sum of its proper divisors (177254042508).

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

110102001012 is a wasteful number, since it uses less digits than its factorization.

110102001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22293 (or 22288 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110102001012 its reverse (210100201011), we get a palindrome (320202202023).

The spelling of 110102001012 in words is "one hundred ten billion, one hundred two million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 6113 12226 16139 18339 24452 32278 36678 48417 55017 64556 73356 96834 110034 145251 189503 193668 220068 290502 379006 500309 568509 581004 758012 1000618 1137018 1500927 1705527 2001236 2274036 3001854 3411054 4502781 6003708 6822108 9005562 18011124 98657707 197315414 295973121 394630828 591946242 887919363 1183892484 1775838726 3058388917 3551677452 6116777834 9175166751 12233555668 18350333502 27525500253 36700667004 55051000506 110102001012