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100011323322 = 23379101232117
BaseRepresentation
bin101110100100100100…
…0111010111110111010
3100120010221221121221000
41131021020322332322
53114310344321242
6113540005425430
710140242136051
oct1351110727672
9316127847830
10100011323322
113946186a519
121747170b276
13957ac75731
144baa76b398
152905224a4c
hex174923afba

100011323322 has 64 divisors (see below), whose sum is σ = 227289945600. Its totient is φ = 32589086400.

The previous prime is 100011323311. The next prime is 100011323371. The reversal of 100011323322 is 223323110001.

100011323322 is a `hidden beast` number, since 10 + 0 + 0 + 11 + 323 + 322 = 666.

100011323322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000113233222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100011323295 and 100011323304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314808 + ... + 546924.

It is an arithmetic number, because the mean of its divisors is an integer number (3551405400).

Almost surely, 2100011323322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011323322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113644972800).

100011323322 is an abundant number, since it is smaller than the sum of its proper divisors (127278622278).

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

100011323322 is a wasteful number, since it uses less digits than its factorization.

100011323322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232308 (or 232302 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100011323322 its reverse (223323110001), we get a palindrome (323334433323).

The spelling of 100011323322 in words is "one hundred billion, eleven million, three hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 101 158 202 237 303 474 606 711 909 1422 1818 2133 2727 4266 5454 7979 15958 23937 47874 71811 143622 215433 232117 430866 464234 696351 1392702 2089053 4178106 6267159 12534318 18337243 23443817 36674486 46887634 55011729 70331451 110023458 140662902 165035187 210994353 330070374 421988706 495105561 632983059 990211122 1265966118 1852061543 3704123086 5556184629 11112369258 16668553887 33337107774 50005661661 100011323322