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103212331131133 = 7217123904359101
BaseRepresentation
bin10111011101111011111110…
…010101010110000011111101
3111112110000001211001212002201
4113131323332111112003331
5102012012323232144013
61003303031303151501
730511562532216100
oct2735737625260375
9445400054055081
10103212331131133
112a983116202414
12b6ab2a8a45591
134578b5b9073c3
141b6b7097a2737
15bdebc9d163dd
hex5ddefe5560fd

103212331131133 has 12 divisors (see below), whose sum is σ = 127125872438652. Its totient is φ = 83263729315200.

The previous prime is 103212331131103. The next prime is 103212331131191. The reversal of 103212331131133 is 331131133212301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73654809088644 + 29557522042489 = 8582238^2 + 5436683^2 .

It is a de Polignac number, because none of the positive numbers 2k-103212331131133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212331131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61952178718 + ... + 61952180383.

It is an arithmetic number, because the mean of its divisors is an integer number (10593822703221).

Almost surely, 2103212331131133 is an apocalyptic number.

It is an amenable number.

103212331131133 is a deficient number, since it is larger than the sum of its proper divisors (23913541307519).

103212331131133 is a wasteful number, since it uses less digits than its factorization.

103212331131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123904359132 (or 123904359125 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 103212331131133 its reverse (331131133212301), we get a palindrome (434343464343434).

The spelling of 103212331131133 in words is "one hundred three trillion, two hundred twelve billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 833 123904359101 867330513707 2106374104717 6071313595949 14744618733019 103212331131133