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120213003222 = 232132324192681
BaseRepresentation
bin110111111110101000…
…0001101101111010110
3102111021211222021222200
41233331100031233112
53432144012100342
6131120341505330
711453663445024
oct1577520155726
9374254867880
10120213003222
1146a89119644
121b36b112246
13b44a375190
145b65751714
1531d8a2c94c
hex1bfd40dbd6

120213003222 has 96 divisors (see below), whose sum is σ = 293910192576. Its totient is φ = 35233228800.

The previous prime is 120213003151. The next prime is 120213003247. The reversal of 120213003222 is 222300312021.

120213003222 is a `hidden beast` number, since 1 + 20 + 21 + 300 + 322 + 2 = 666.

It is a super-2 number, since 2×1202130032222 (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 = 120213003195 and 120213003204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250722 + ... + 1343402.

It is an arithmetic number, because the mean of its divisors is an integer number (3061564506).

Almost surely, 2120213003222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120213003222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146955096288).

120213003222 is an abundant number, since it is smaller than the sum of its proper divisors (173697189354).

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

120213003222 is a wasteful number, since it uses less digits than its factorization.

120213003222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92966 (or 92963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120213003222 its reverse (222300312021), we get a palindrome (342513315243).

The spelling of 120213003222 in words is "one hundred twenty billion, two hundred thirteen million, three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 241 299 414 482 598 723 897 1446 1794 2169 2691 3133 4338 5382 5543 6266 9399 11086 16629 18798 28197 33258 49887 56394 72059 92681 99774 144118 185362 216177 278043 432354 556086 648531 834129 1204853 1297062 1668258 2131663 2409706 3614559 4263326 6394989 7229118 10843677 12789978 19184967 21687354 22336121 27711619 38369934 44672242 55423238 67008363 83134857 134016726 166269714 201025089 249404571 290369573 402050178 498809142 513730783 580739146 871108719 1027461566 1541192349 1742217438 2613326157 3082384698 4623577047 5226652314 6678500179 9247154094 13357000358 20035500537 40071001074 60106501611 120213003222