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132012311002011 = 32115995927375593
BaseRepresentation
bin11110000001000010000010…
…111001110011101110011011
3122022102020211221011211122100
4132001002002321303232123
5114300342203104031021
61144433341330254443
736543401063044626
oct3601020271635633
9568366757154570
10132012311002011
113907711a009040
1212980a53a27423
13588792753181b
142485603aa4dbd
15103de2327a626
hex781082e73b9b

132012311002011 has 48 divisors (see below), whose sum is σ = 208402387315200. Its totient is φ = 79860203928960.

The previous prime is 132012311002001. The next prime is 132012311002021. The reversal of 132012311002011 is 110200113210231.

132012311002011 is a `hidden beast` number, since 1 + 320 + 1 + 2 + 311 + 0 + 0 + 20 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (132012311002001) and next prime (132012311002021).

It is not a de Polignac number, because 132012311002011 - 25 = 132012311001979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132012311002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351289231 + ... + 351664823.

It is an arithmetic number, because the mean of its divisors is an integer number (4341716402400).

Almost surely, 2132012311002011 is an apocalyptic number.

132012311002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132012311002011 is a deficient number, since it is larger than the sum of its proper divisors (76390076313189).

132012311002011 is a wasteful number, since it uses less digits than its factorization.

132012311002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382136 (or 382133 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132012311002011 its reverse (110200113210231), we get a palindrome (242212424212242).

The spelling of 132012311002011 in words is "one hundred thirty-two trillion, twelve billion, three hundred eleven million, two thousand, eleven".

Divisors: 1 3 9 11 33 99 599 1797 5391 5927 6589 17781 19767 53343 59301 65197 195591 375593 586773 1126779 3380337 3550273 4131523 10650819 12394569 31952457 37183707 39053003 117159009 224980207 351477027 674940621 2024821863 2226139711 2474782277 6678419133 7424346831 20035257399 22273040493 24487536821 73462610463 220387831389 1333457686889 4000373060667 12001119182001 14668034555779 44004103667337 132012311002011