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2212123122 = 234111518221
BaseRepresentation
bin1000001111011010…
…0101000111110010
312201011111111110000
42003312211013302
514012300414442
61003301250430
7105550510356
oct20366450762
95634444400
102212123122
11a3575a930
12518a03a16
132933b76c1
1416db15466
15ce313d4c
hex83da51f2

2212123122 has 80 divisors (see below), whose sum is σ = 5443884864. Its totient is φ = 665820000.

The previous prime is 2212123099. The next prime is 2212123153. The reversal of 2212123122 is 2213212122.

2212123122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212123095 and 2212123104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264972 + ... + 273192.

Almost surely, 22212123122 is an apocalyptic number.

2212123122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212123122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721942432).

2212123122 is an abundant number, since it is smaller than the sum of its proper divisors (3231761742).

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

2212123122 is a wasteful number, since it uses less digits than its factorization.

2212123122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8388 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2212123122 is about 47033.2129670087. The cubic root of 2212123122 is about 1302.9760461389.

Adding to 2212123122 its reverse (2213212122), we get a palindrome (4425335244).

The spelling of 2212123122 in words is "two billion, two hundred twelve million, one hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 151 162 198 297 302 453 594 891 906 1359 1661 1782 2718 3322 4077 4983 8154 8221 9966 12231 14949 16442 24462 24663 29898 44847 49326 73989 89694 90431 134541 147978 180862 221967 269082 271293 443934 542586 665901 813879 1241371 1331802 1627758 2441637 2482742 3724113 4883274 7324911 7448226 11172339 13655081 14649822 22344678 27310162 33517017 40965243 67034034 81930486 100551051 122895729 201102102 245791458 368687187 737374374 1106061561 2212123122