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1001111022 = 233412112143
BaseRepresentation
bin111011101010111…
…011110111101110
32120202202201011000
4323222323313232
54022241023042
6243201141130
733544206012
oct7352736756
92522681130
101001111022
1147411258a
1223b32a7a6
1312c538ab2
1496d5a542
155cd5074c
hex3babbdee

1001111022 has 64 divisors (see below), whose sum is σ = 2290821120. Its totient is φ = 323870400.

The previous prime is 1001110991. The next prime is 1001111047. The reversal of 1001111022 is 2201111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001110995 and 1001111013.

It is a congruent number.

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, 466083 + ... + 468225.

It is an arithmetic number, because the mean of its divisors is an integer number (35794080).

Almost surely, 21001111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145410560).

1001111022 is an abundant number, since it is smaller than the sum of its proper divisors (1289710098).

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

1001111022 is a wasteful number, since it uses less digits than its factorization.

1001111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1001111022 is about 31640.3385253698. The cubic root of 1001111022 is about 1000.3702035990.

Adding to 1001111022 its reverse (2201111001), we get a palindrome (3202222023).

The spelling of 1001111022 in words is "one billion, one million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 211 246 369 422 633 738 1107 1266 1899 2143 2214 3798 4286 5697 6429 8651 11394 12858 17302 19287 25953 38574 51906 57861 77859 87863 115722 155718 175726 233577 263589 452173 467154 527178 790767 904346 1356519 1581534 2372301 2713038 4069557 4744602 8139114 12208671 18539093 24417342 37078186 55617279 111234558 166851837 333703674 500555511 1001111022