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1000112022 = 234713179379
BaseRepresentation
bin111011100111000…
…111111110010110
32120200212221210000
4323213013332112
54022012041042
6243123512130
733532545330
oct7347077626
92520787700
101000112022
1147359aa68
1223ab28646
1312c279180
1496b7a450
155cc0474c
hex3b9c7f96

1000112022 has 160 divisors (see below), whose sum is σ = 2780870400. Its totient is φ = 261600192.

The previous prime is 1000112021. The next prime is 1000112027. The reversal of 1000112022 is 2202110001.

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 = 1000111995 and 1000112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2638629 + ... + 2639007.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 21000112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390435200).

1000112022 is an abundant number, since it is smaller than the sum of its proper divisors (1780758378).

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

1000112022 is a wasteful number, since it uses less digits than its factorization.

1000112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000112022 is about 31624.5477754228. The cubic root of 1000112022 is about 1000.0373392724.

Adding to 1000112022 its reverse (2202110001), we get a palindrome (3202222023).

The spelling of 1000112022 in words is "one billion, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 179 182 189 234 273 351 358 378 379 537 546 567 702 758 819 1053 1074 1134 1137 1253 1611 1638 2106 2274 2327 2457 2506 2653 3222 3411 3759 4654 4833 4914 4927 5306 6822 6981 7371 7518 7959 9666 9854 10233 11277 13962 14499 14742 14781 15918 16289 20466 20943 22554 23877 28998 29562 30699 32578 33831 34489 41886 44343 47754 48867 61398 62829 67662 67841 68978 71631 88686 97734 101493 103467 125658 133029 135682 143262 146601 188487 202986 203523 206934 214893 266058 293202 310401 376974 399087 407046 429786 439803 474887 610569 620802 798174 879606 881933 931203 949774 1221138 1319409 1424661 1763866 1831707 1862406 2638818 2645799 2793609 2849322 3663414 4273983 5291598 5495121 5587218 6173531 7937397 8547966 10990242 12347062 12821949 15874794 18520593 23812191 25643898 37041186 38465847 47624382 55561779 71436573 76931694 111123558 142873146 166685337 333370674 500056011 1000112022