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112101212202126 = 23771308912169837
BaseRepresentation
bin11001011111010010011000…
…111011101010010010001110
3112200220202211020000020000220
4121133102120323222102032
5104143131240310432001
61034230330321332210
732420021353532250
oct3137223073522216
9480822736006026
10112101212202126
113279a9478a7514
12106a5b71197066
134a7213951c714
141d97a28839cd0
15ce6023075c36
hex65f498eea48e

112101212202126 has 64 divisors (see below), whose sum is σ = 259924373591040. Its totient is φ = 31567580997120.

The previous prime is 112101212202061. The next prime is 112101212202127. The reversal of 112101212202126 is 621202212101211.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112101212202096 and 112101212202105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101212202127) 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, 3126480 + ... + 15296316.

It is an arithmetic number, because the mean of its divisors is an integer number (4061318337360).

Almost surely, 2112101212202126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112101212202126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129962186795520).

112101212202126 is an abundant number, since it is smaller than the sum of its proper divisors (147823161388914).

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

112101212202126 is a wasteful number, since it uses less digits than its factorization.

112101212202126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173009.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 112101212202126 its reverse (621202212101211), we get a palindrome (733303424303337).

The spelling of 112101212202126 in words is "one hundred twelve trillion, one hundred one billion, two hundred twelve million, two hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 3089 6178 9267 18534 21623 43246 64869 129738 219319 438638 657957 1315914 1535233 3070466 4605699 9211398 12169837 24339674 36509511 73019022 85188859 170377718 255566577 511133154 864058427 1728116854 2592175281 5184350562 6048408989 12096817978 18145226967 36290453934 37592626493 75185252986 112777879479 225555758958 263148385451 526296770902 789445156353 1578890312706 2669076481003 5338152962006 8007229443009 16014458886018 18683535367021 37367070734042 56050606101063 112101212202126