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1000322222312 = 237107821203341
BaseRepresentation
bin11101000111001111101…
…10011100100011101000
310112122000011202000101202
432203213312130203220
5112342124442103222
62043313000503332
7132161626411460
oct16434766344350
93478004660352
101000322222312
113562638a8326
12141a51a7ab48
1373439c7742a
14365b7162ba0
151b049bb4892
hexe8e7d9c8e8

1000322222312 has 64 divisors (see below), whose sum is σ = 2166226727040. Its totient is φ = 424183507200.

The previous prime is 1000322222297. The next prime is 1000322222359. The reversal of 1000322222312 is 2132222230001.

It is a happy number.

It is a super-3 number, since 3×10003222223123 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4817762 + ... + 5021102.

It is an arithmetic number, because the mean of its divisors is an integer number (33847292610).

Almost surely, 21000322222312 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 1000322222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083113363520).

1000322222312 is an abundant number, since it is smaller than the sum of its proper divisors (1165904504728).

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

1000322222312 is a wasteful number, since it uses less digits than its factorization.

1000322222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204282 (or 204278 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1000322222312 its reverse (2132222230001), we get a palindrome (3132544452313).

The spelling of 1000322222312 in words is "one trillion, three hundred twenty-two million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 821 856 1498 1642 2996 3284 5747 5992 6568 11494 22988 45976 87847 175694 203341 351388 406682 614929 702776 813364 1229858 1423387 1626728 2459716 2846774 4919432 5693548 11387096 21757487 43514974 87029948 152302409 166942961 174059896 304604818 333885922 609209636 667771844 1168600727 1218419272 1335543688 2337201454 4674402908 9348805816 17862896827 35725793654 71451587308 125040277789 142903174616 250080555578 500161111156 1000322222312