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2111302225332 = 223553331123817
BaseRepresentation
bin11110101110010011011…
…010110100110110110100
321110211122021121201200000
4132232103122310312310
5234042421332202312
64253530245551300
7305352015544566
oct36562332646664
97424567551600
102111302225332
11744442079083
122a1226a15530
131241307980c1
147428a9b3336
1539dbe5a4adc
hex1eb936b4db4

2111302225332 has 144 divisors (see below), whose sum is σ = 5656073596992. Its totient is φ = 688397149440.

The previous prime is 2111302225327. The next prime is 2111302225339. The reversal of 2111302225332 is 2335222031112.

2111302225332 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 302 + 2 + 25 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2111302225296 and 2111302225305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111302225339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16989888 + ... + 17113704.

It is an arithmetic number, because the mean of its divisors is an integer number (39278288868).

Almost surely, 22111302225332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111302225332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828036798496).

2111302225332 is an abundant number, since it is smaller than the sum of its proper divisors (3544771371660).

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

2111302225332 is a wasteful number, since it uses less digits than its factorization.

2111302225332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124220 (or 124206 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2111302225332 its reverse (2335222031112), we get a palindrome (4446524256444).

The spelling of 2111302225332 in words is "two trillion, one hundred eleven billion, three hundred two million, two hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 331 477 486 636 662 954 972 993 1324 1431 1908 1986 2862 2979 3972 4293 5724 5958 8586 8937 11916 12879 17172 17543 17874 25758 26811 35086 35748 51516 52629 53622 70172 80433 105258 107244 123817 157887 160866 210516 247634 315774 321732 371451 473661 495268 631548 742902 947322 1114353 1420983 1485804 1894644 2228706 2841966 3343059 4262949 4457412 5683932 6562301 6686118 8525898 10029177 13124602 13372236 17051796 19686903 20058354 26249204 30087531 39373806 40116708 40983427 59060709 60175062 78747612 81966854 118121418 120350124 122950281 163933708 177182127 236242836 245900562 354364254 368850843 491801124 531546381 708728508 737701686 1063092762 1106552529 1475403372 1594639143 2126185524 2172121631 2213105058 3189278286 3319657587 4344243262 4426210116 6378556572 6516364893 6639315174 8688486524 9958972761 13032729786 13278630348 19549094679 19917945522 26065459572 39098189358 39835891044 58647284037 78196378716 117294568074 175941852111 234589136148 351883704222 527825556333 703767408444 1055651112666 2111302225332