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1320121130321 = 73189463714741
BaseRepresentation
bin10011001101011101010…
…110011101110101010001
311200012110111210210001002
4103031131112131311101
5133112102002132241
62450242201151345
7164242555315040
oct23153526356521
94605414723032
101320121130321
11469950a65214
12193a21a8b555
1397643903606
1447c739a2557
152451561b89b
hex1335d59dd51

1320121130321 has 32 divisors (see below), whose sum is σ = 1575323043840. Its totient is φ = 1082420697600.

The previous prime is 1320121130303. The next prime is 1320121130357. The reversal of 1320121130321 is 1230311210231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1320121130321 - 26 = 1320121130257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1320121130293 and 1320121130302.

It is not an unprimeable number, because it can be changed into a prime (1320121130371) 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 31 ways as a sum of consecutive naturals, for example, 89547011 + ... + 89561751.

It is an arithmetic number, because the mean of its divisors is an integer number (49228845120).

Almost surely, 21320121130321 is an apocalyptic number.

It is an amenable number.

1320121130321 is a deficient number, since it is larger than the sum of its proper divisors (255201913519).

1320121130321 is a wasteful number, since it uses less digits than its factorization.

1320121130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19505.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1320121130321 its reverse (1230311210231), we get a palindrome (2550432340552).

The spelling of 1320121130321 in words is "one trillion, three hundred twenty billion, one hundred twenty-one million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 31 89 217 623 2759 4637 14741 19313 32459 103187 143747 412693 456971 1006229 1311949 2888851 3198797 9183643 12793483 40670419 68354017 89554381 284692933 478478119 2118974527 6083507513 14832821689 42584552591 188588732903 1320121130321