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1001222220222 = 232737263816587
BaseRepresentation
bin11101001000111010111…
…11101010100110111110
310112201022220020122102200
432210131133222212332
5112401000342021342
62043542150532330
7132223135311210
oct16443537524676
93481286218380
101001222220222
11356685929054
121420633670a6
137355156cb83
14366608bc5b0
151b09dbe094c
hexe91d7ea9be

1001222220222 has 96 divisors (see below), whose sum is σ = 2555907374592. Its totient is φ = 277273409472.

The previous prime is 1001222220161. The next prime is 1001222220241. The reversal of 1001222220222 is 2220222221001.

1001222220222 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 222 + 220 + 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 = 1001222220195 and 1001222220204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817813 + ... + 1634399.

It is an arithmetic number, because the mean of its divisors is an integer number (26624035152).

Almost surely, 21001222220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001222220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277953687296).

1001222220222 is an abundant number, since it is smaller than the sum of its proper divisors (1554685154370).

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

1001222220222 is a wasteful number, since it uses less digits than its factorization.

1001222220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816902 (or 816899 counting only the distinct ones).

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

Adding to 1001222220222 its reverse (2220222221001), we get a palindrome (3221444441223).

The spelling of 1001222220222 in words is "one trillion, one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 263 333 518 526 666 777 789 1554 1578 1841 2331 2367 3682 4662 4734 5523 9731 11046 16569 19462 29193 33138 58386 68117 87579 136234 175158 204351 408702 613053 816587 1226106 1633174 2449761 4899522 5716109 7349283 11432218 14698566 17148327 30213719 34296654 51444981 60427438 90641157 102889962 181282314 211496033 214762381 271923471 422992066 429524762 543846942 634488099 644287143 1268976198 1288574286 1503336667 1903464297 1932861429 3006673334 3806928594 3865722858 4510010001 7946208097 9020020002 13530030003 15892416194 23838624291 27060060006 47677248582 55623456679 71515872873 111246913358 143031745746 166870370037 333740740074 500611110111 1001222220222