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12102022152 = 233211217411993
BaseRepresentation
bin10110100010101011…
…00011010000001000
31011020102002102102200
423101111203100020
5144241104202102
65320512200200
7605620330263
oct132125432010
934212072380
1012102022152
115150304400
122418b39060
1311ab33586c
1482b3b7cda
154ac6c451c
hex2d1563408

12102022152 has 288 divisors, whose sum is σ = 39096078840. Its totient is φ = 3365683200.

The previous prime is 12102022147. The next prime is 12102022189. The reversal of 12102022152 is 25122020121.

It can be written as a sum of positive squares in 4 ways, for example, as 10210294116 + 1891728036 = 101046^2 + 43494^2 .

It is a super-2 number, since 2×121020221522 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6071268 + ... + 6073260.

Almost surely, 212102022152 is an apocalyptic number.

12102022152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102022152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548039420).

12102022152 is an abundant number, since it is smaller than the sum of its proper divisors (26994056688).

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

12102022152 is a wasteful number, since it uses less digits than its factorization.

12102022152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12102022152 its reverse (25122020121), we get a palindrome (37224042273).

The spelling of 12102022152 in words is "twelve billion, one hundred two million, twenty-two thousand, one hundred fifty-two".