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101404121399 = 719103271867
BaseRepresentation
bin101111001110000101…
…0000001100100110111
3100200202000202002200222
41132130022001210313
53130133423341044
6114330122124555
710216613544620
oct1363412014467
9320660662628
10101404121399
113a006a8a309
12177a005075b
1397406a20c9
144c9d726a47
1529876458ee
hex179c281937

101404121399 has 24 divisors (see below), whose sum is σ = 123187501440. Its totient is φ = 81542613168.

The previous prime is 101404121387. The next prime is 101404121407. The reversal of 101404121399 is 993121404101.

It is not a de Polignac number, because 101404121399 - 228 = 101135685943 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 (101404121699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1375064 + ... + 1446930.

It is an arithmetic number, because the mean of its divisors is an integer number (5132812560).

Almost surely, 2101404121399 is an apocalyptic number.

101404121399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101404121399 is a deficient number, since it is larger than the sum of its proper divisors (21783380041).

101404121399 is an equidigital number, since it uses as much as digits as its factorization.

101404121399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72099 (or 71996 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 101404121399 in words is "one hundred one billion, four hundred four million, one hundred twenty-one thousand, three hundred ninety-nine".

Divisors: 1 7 19 103 133 721 1957 10609 13699 71867 74263 201571 503069 1365473 1410997 7402301 9558311 51816107 140643719 762437003 984506033 5337059021 14486303057 101404121399