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1321012000110 = 23511373113311051
BaseRepresentation
bin10011001110010010011…
…100110111010101101110
311200021202121010122122110
4103032102130313111232
5133120413033000420
62450510423424450
7164303623506045
oct23162234672556
94607677118573
101321012000110
1146a268920940
121940302b5126
13977563512ba
1447d1a02355c
1524568942ee0
hex1339273756e

1321012000110 has 256 divisors, whose sum is σ = 3577715122176. Its totient is φ = 309355200000.

The previous prime is 1321012000109. The next prime is 1321012000111. The reversal of 1321012000110 is 110002101231.

It is an interprime number because it is at equal distance from previous prime (1321012000109) and next prime (1321012000111).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321012000111) 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 127 ways as a sum of consecutive naturals, for example, 1256909085 + ... + 1256910135.

It is an arithmetic number, because the mean of its divisors is an integer number (13975449696).

Almost surely, 21321012000110 is an apocalyptic number.

1321012000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321012000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788857561088).

1321012000110 is an abundant number, since it is smaller than the sum of its proper divisors (2256703122066).

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

1321012000110 is a wasteful number, since it uses less digits than its factorization.

1321012000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751.

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

Adding to 1321012000110 its reverse (110002101231), we get a palindrome (1431014101341).

The spelling of 1321012000110 in words is "one trillion, three hundred twenty-one billion, twelve million, one hundred ten", and thus it is an aban number.