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101403131199 = 31493157114411
BaseRepresentation
bin101111001110000011…
…0001111110100111111
3100200201221212210101220
41132130012033310333
53130133200144244
6114330045004423
710216602252006
oct1363406176477
9320657783356
10101403131199
113a006473367
121779b853713
1397404164a6
144c9d549c3d
1529874ec319
hex179c18fd3f

101403131199 has 16 divisors (see below), whose sum is σ = 135390248064. Its totient is φ = 67509120800.

The previous prime is 101403131189. The next prime is 101403131209. The reversal of 101403131199 is 991131304101.

It is an interprime number because it is at equal distance from previous prime (101403131189) and next prime (101403131209).

It is a cyclic number.

It is not a de Polignac number, because 101403131199 - 211 = 101403129151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101403131129) 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 15 ways as a sum of consecutive naturals, for example, 7029304 + ... + 7043714.

It is an arithmetic number, because the mean of its divisors is an integer number (8461890504).

Almost surely, 2101403131199 is an apocalyptic number.

101403131199 is a deficient number, since it is larger than the sum of its proper divisors (33987116865).

101403131199 is a wasteful number, since it uses less digits than its factorization.

101403131199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17478.

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 101403131199 in words is "one hundred one billion, four hundred three million, one hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 3 1493 1571 4479 4713 14411 43233 2345503 7036509 21515623 22639681 64546869 67919043 33801043733 101403131199