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1001220222222 = 23211371321103457
BaseRepresentation
bin11101001000111010110…
…00000010110100001110
310112201022202111010200200
432210131120002310032
5112400444334102342
62043542040034330
7132223112320143
oct16443530026416
93481282433620
101001220222222
11356684793a10
121420627629a6
137355102061c
143666051c3ca
151b09d94894c
hexe91d602d0e

1001220222222 has 96 divisors (see below), whose sum is σ = 2432343929184. Its totient is φ = 294973747200.

The previous prime is 1001220222181. The next prime is 1001220222227. The reversal of 1001220222222 is 2222220221001.

1001220222222 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 220 + 222 + 222 = 666.

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 = 1001220222195 and 1001220222204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220222227) 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, 9625918 + ... + 9729374.

It is an arithmetic number, because the mean of its divisors is an integer number (25336915929).

Almost surely, 21001220222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001220222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216171964592).

1001220222222 is an abundant number, since it is smaller than the sum of its proper divisors (1431123706962).

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

1001220222222 is a wasteful number, since it uses less digits than its factorization.

1001220222222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104834 (or 104831 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1001220222222 its reverse (2222220221001), we get a palindrome (3223440443223).

The spelling of 1001220222222 in words is "one trillion, one billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1321 2442 2642 3663 3963 7326 7926 11889 14531 23778 29062 43593 48877 87186 97754 103457 130779 146631 206914 261558 293262 310371 439893 537647 620742 879786 931113 1075294 1138027 1612941 1862226 2276054 3225882 3414081 3827909 4838823 6828162 7655818 9677646 10242243 11483727 20484486 22967454 34451181 42106999 68902362 84213998 126320997 136666697 252641994 273333394 378962991 410000091 757925982 820000182 1230000273 1503333667 2460000546 3006667334 4510001001 5056667789 9020002002 10113335578 13530003003 15170003367 27060006006 30340006734 45510010101 55623345679 91020020202 111246691358 166870037037 333740074074 500610111111 1001220222222