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101112013212 = 223726314473163
BaseRepresentation
bin101111000101010111…
…1101110000110011100
3100122222200002110121020
41132022233232012130
53124034133410322
6114241125204140
710206435634350
oct1361257560634
9318880073536
10101112013212
1139977106091
121771a260650
1396c5008422
144c72a09460
15296bb9505c
hex178abee19c

101112013212 has 96 divisors (see below), whose sum is σ = 270929928192. Its totient is φ = 28750320576.

The previous prime is 101112013187. The next prime is 101112013213. The reversal of 101112013212 is 212310211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112013191 and 101112013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112013213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31965543 + ... + 31968705.

It is an arithmetic number, because the mean of its divisors is an integer number (2822186752).

Almost surely, 2101112013212 is an apocalyptic number.

101112013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112013212 is an abundant number, since it is smaller than the sum of its proper divisors (169817914980).

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

101112013212 is a wasteful number, since it uses less digits than its factorization.

101112013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101112013212 its reverse (212310211101), we get a palindrome (313422224313).

The spelling of 101112013212 in words is "one hundred one billion, one hundred twelve million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 263 526 789 1052 1447 1578 1841 2894 3156 3163 3682 4341 5523 5788 6326 7364 8682 9489 10129 11046 12652 17364 18978 20258 22092 22141 30387 37956 40516 44282 60774 66423 88564 121548 132846 265692 380561 761122 831869 1141683 1522244 1663738 2283366 2495607 2663927 3327476 4566732 4576861 4991214 5327854 5823083 7991781 9153722 9982428 10655708 11646166 13730583 15983562 17469249 18307444 23292332 27461166 31967124 32038027 34938498 54922332 64076054 69876996 96114081 128152108 192228162 384456324 1203714443 2407428886 3611143329 4814857772 7222286658 8426001101 14444573316 16852002202 25278003303 33704004404 50556006606 101112013212