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1012162122 = 233433491249
BaseRepresentation
bin111100010101000…
…101111001001010
32121112120011102000
4330111011321022
54033103141442
6244234051430
734040143656
oct7425057112
92545504360
101012162122
1147a380424
12242b79b76
13131907bca
14985d5a66
155dcd4d4c
hex3c545e4a

1012162122 has 64 divisors (see below), whose sum is σ = 2310000000. Its totient is φ = 328333824.

The previous prime is 1012162111. The next prime is 1012162157. The reversal of 1012162122 is 2212612101.

1012162122 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 621 + 22 = 666.

1012162122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121621222 = 2048944322423085768, which contains 22 as substring.

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 = 1012162095 and 1012162104.

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, 809754 + ... + 811002.

It is an arithmetic number, because the mean of its divisors is an integer number (36093750).

Almost surely, 21012162122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012162122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155000000).

1012162122 is an abundant number, since it is smaller than the sum of its proper divisors (1297837878).

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

1012162122 is a wasteful number, since it uses less digits than its factorization.

1012162122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1012162122 is about 31814.4954698326. The cubic root of 1012162122 is about 1004.0377155771.

Adding to 1012162122 its reverse (2212612101), we get a palindrome (3224774223).

The spelling of 1012162122 in words is "one billion, twelve million, one hundred sixty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 349 387 698 774 1047 1161 1249 2094 2322 2498 3141 3747 6282 7494 9423 11241 15007 18846 22482 30014 33723 45021 53707 67446 90042 107414 135063 161121 270126 322242 405189 435901 483363 810378 871802 966726 1307703 1450089 2615406 2900178 3923109 7846218 11769327 18743743 23538654 37487486 56231229 112462458 168693687 337387374 506081061 1012162122