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12001102002 = 2322713245753
BaseRepresentation
bin10110010110101001…
…00100100010110010
31010222101012011000100
423023110210202302
5144034240231002
65302505133230
7603253453401
oct131324444262
933871164010
1012001102002
1150a934461a
1223ab18a216
13119345c2b6
1481bc27638
154a38dc11c
hex2cb5248b2

12001102002 has 24 divisors (see below), whose sum is σ = 26012077884. Its totient is φ = 3998876544.

The previous prime is 12001101971. The next prime is 12001102007. The reversal of 12001102002 is 20020110021.

It can be written as a sum of positive squares in 2 ways, for example, as 7919042121 + 4082059881 = 88989^2 + 63891^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12001102007) 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, 74043 + ... + 171710.

Almost surely, 212001102002 is an apocalyptic number.

12001102002 is an abundant number, since it is smaller than the sum of its proper divisors (14010975882).

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

12001102002 is a wasteful number, since it uses less digits than its factorization.

12001102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248474 (or 248471 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001102002 its reverse (20020110021), we get a palindrome (32021212023).

It can be divided in two parts, 12001 and 102002, that added together give a triangular number (114003 = T477).

The spelling of 12001102002 in words is "twelve billion, one million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 2713 5426 8139 16278 24417 48834 245753 491506 737259 1474518 2211777 4423554 666727889 1333455778 2000183667 4000367334 6000551001 12001102002