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12211332210 = 2325711432953
BaseRepresentation
bin10110101111101101…
…00010010001110010
31011112000202221122100
423113312202101302
5200002100112320
65335415121230
7611415416430
oct132766422162
934460687570
1012211332210
1151a6a846a0
122449673216
1311c7b88b7c
1483bb0dd50
154b70b7790
hex2d7da2472

12211332210 has 288 divisors, whose sum is σ = 40568231808. Its totient is φ = 2475809280.

The previous prime is 12211332193. The next prime is 12211332257. The reversal of 12211332210 is 1223311221.

12211332210 is a `hidden beast` number, since 122 + 1 + 1 + 332 + 210 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12813094 + ... + 12814046.

It is an arithmetic number, because the mean of its divisors is an integer number (140861916).

Almost surely, 212211332210 is an apocalyptic number.

12211332210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211332210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284115904).

12211332210 is an abundant number, since it is smaller than the sum of its proper divisors (28356899598).

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

12211332210 is a wasteful number, since it uses less digits than its factorization.

12211332210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12211332210 its reverse (1223311221), we get a palindrome (13434643431).

The spelling of 12211332210 in words is "twelve billion, two hundred eleven million, three hundred thirty-two thousand, two hundred ten".