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12002022100 = 2252177060013
BaseRepresentation
bin10110010110110000…
…00101001011010100
31010222102220220011001
423023120011023110
5144040004201400
65302540553044
7603264335035
oct131330051324
933872826131
1012002022100
1150a9912932
1223ab552784
1311936c2033
1481bdc6a8c
154a3a1ea6a
hex2cb6052d4

12002022100 has 36 divisors (see below), whose sum is σ = 27576414684. Its totient is φ = 4518407680.

The previous prime is 12002022061. The next prime is 12002022101. The reversal of 12002022100 is 122020021.

It can be written as a sum of positive squares in 6 ways, for example, as 1180197316 + 10821824784 = 34354^2 + 104028^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002022101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3528307 + ... + 3531706.

It is an arithmetic number, because the mean of its divisors is an integer number (766011519).

Almost surely, 212002022100 is an apocalyptic number.

12002022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002022100 is an abundant number, since it is smaller than the sum of its proper divisors (15574392584).

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

12002022100 is a wasteful number, since it uses less digits than its factorization.

12002022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060044 (or 7060037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002022100 its reverse (122020021), we get a palindrome (12124042121).

The spelling of 12002022100 in words is "twelve billion, two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7060013 14120026 28240052 35300065 70600130 120020221 141200260 176500325 240040442 353000650 480080884 600101105 706001300 1200202210 2400404420 3000505525 6001011050 12002022100