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12002015355 = 351179920753
BaseRepresentation
bin10110010110110000…
…00011100001111011
31010222102220112220020
423023120003201323
5144040003442410
65302540501523
7603264306261
oct131330034173
933872815806
1012002015355
1150a9908860
1223ab54a8a3
1311936bbc45
1481bdc4431
154a3a1ca70
hex2cb60387b

12002015355 has 32 divisors (see below), whose sum is σ = 21214172160. Its totient is φ = 5745492480.

The previous prime is 12002015353. The next prime is 12002015387. The reversal of 12002015355 is 55351020021.

It is a happy number.

12002015355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002015355 - 21 = 12002015353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002015353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447342 + ... + 473411.

It is an arithmetic number, because the mean of its divisors is an integer number (662942880).

Almost surely, 212002015355 is an apocalyptic number.

12002015355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12002015355 is a deficient number, since it is larger than the sum of its proper divisors (9212156805).

12002015355 is a wasteful number, since it uses less digits than its factorization.

12002015355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920851.

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 12002015355 its reverse (55351020021), we get a palindrome (67353035376).

The spelling of 12002015355 in words is "twelve billion, two million, fifteen thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 79 165 237 395 869 1185 2607 4345 13035 920753 2762259 4603765 10128283 13811295 30384849 50641415 72739487 151924245 218218461 363697435 800134357 1091092305 2400403071 4000671785 12002015355