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1020401121399 = 311259313687
BaseRepresentation
bin11101101100101001010…
…01010111100001110111
310121112211111201202211220
432312110221113201313
5113204240141341044
62100433225201423
7133502330265042
oct16662451274167
93545744652756
101020401121399
11363827916400
12145916330273
13752b9ab82ca
143755db05c59
151b822818019
hexed94a57877

1020401121399 has 48 divisors (see below), whose sum is σ = 1521358782720. Its totient is φ = 607898726160.

The previous prime is 1020401121359. The next prime is 1020401121413. The reversal of 1020401121399 is 9931211040201.

It is not a de Polignac number, because 1020401121399 - 221 = 1020399024247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020401121319) 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, 74545734 + ... + 74559420.

It is an arithmetic number, because the mean of its divisors is an integer number (31694974640).

Almost surely, 21020401121399 is an apocalyptic number.

1020401121399 is a deficient number, since it is larger than the sum of its proper divisors (500957661321).

1020401121399 is an frugal number, since it uses more digits than its factorization.

1020401121399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 1020401121399 in words is "one trillion, twenty billion, four hundred one million, one hundred twenty-one thousand, three hundred ninety-nine".

Divisors: 1 3 11 33 59 121 177 363 649 1947 3481 7139 10443 13687 21417 38291 41061 114873 150557 205379 421201 451671 616137 807533 1263603 1656127 2259169 2422599 4968381 6777507 8882863 24850859 26648589 47644447 74552577 97711493 142933341 293134479 524088917 1572266751 2811022373 5764978087 8433067119 17294934261 30921246103 92763738309 340133707133 1020401121399