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110000103012 = 22326389478253
BaseRepresentation
bin110011001110010000…
…1000101111001100100
3101111221002121012200100
41212130201011321210
53300240011244022
6122311111544100
710642622306532
oct1463441057144
9344832535610
10110000103012
1142718210548
121939a98b030
13a4b0534a67
14547720d152
152cdc1181ac
hex199c845e64

110000103012 has 36 divisors (see below), whose sum is σ = 278099918460. Its totient is φ = 36660885312.

The previous prime is 110000103001. The next prime is 110000103023. The reversal of 110000103012 is 210301000011.

It is an interprime number because it is at equal distance from previous prime (110000103001) and next prime (110000103023).

It can be written as a sum of positive squares in 2 ways, for example, as 3917007396 + 106083095616 = 62586^2 + 325704^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1100001030122 (a number of 23 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 = 110000102985 and 110000103003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9123 + ... + 469130.

It is an arithmetic number, because the mean of its divisors is an integer number (7724997735).

Almost surely, 2110000103012 is an apocalyptic number.

110000103012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110000103012 is an abundant number, since it is smaller than the sum of its proper divisors (168099815448).

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

110000103012 is a wasteful number, since it uses less digits than its factorization.

110000103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484652 (or 484647 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110000103012 its reverse (210301000011), we get a palindrome (320301103023).

The spelling of 110000103012 in words is "one hundred ten billion, one hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 6389 12778 19167 25556 38334 57501 76668 115002 230004 478253 956506 1434759 1913012 2869518 4304277 5739036 8608554 17217108 3055558417 6111116834 9166675251 12222233668 18333350502 27500025753 36666701004 55000051506 110000103012