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1001212111003 = 131733713443239
BaseRepresentation
bin11101001000111001110…
…01000110100010011011
310112201022012020001012011
432210130321012202123
5112400440300023003
62043541150130351
7132222653345236
oct16443471064233
93481265201164
101001212111003
11356680153925
1214205bab09b7
137354c4406a0
143665d40a41d
151b09cd9546d
hexe91ce4689b

1001212111003 has 16 divisors (see below), whose sum is σ = 1145041410240. Its totient is φ = 867250169856.

The previous prime is 1001212110989. The next prime is 1001212111019. The reversal of 1001212111003 is 3001112121001.

It is a happy number.

1001212111003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001212111003 - 225 = 1001178556571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1001212111043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6647143 + ... + 6796096.

It is an arithmetic number, because the mean of its divisors is an integer number (71565088140).

Almost surely, 21001212111003 is an apocalyptic number.

1001212111003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1001212111003 is a deficient number, since it is larger than the sum of its proper divisors (143829299237).

1001212111003 is a wasteful number, since it uses less digits than its factorization.

1001212111003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443606.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1001212111003 its reverse (3001112121001), we get a palindrome (4002324232004).

The spelling of 1001212111003 in words is "one trillion, one billion, two hundred twelve million, one hundred eleven thousand, three".

Divisors: 1 13 17 221 337 4381 5729 74477 13443239 174762107 228535063 2970955819 4530371543 58894830059 77016316231 1001212111003