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101402004231 = 32111317818799
BaseRepresentation
bin101111001110000000…
…1111100101100000111
3100200201212202112111100
41132130001330230013
53130132403113411
6114330004511143
710216556546253
oct1363401745407
9320655675440
10101402004231
113a005873690
121779b3ab4b3
139740110548
144c9d335263
152987378456
hex179c07cb07

101402004231 has 24 divisors (see below), whose sum is σ = 161004729600. Its totient is φ = 60986624400.

The previous prime is 101402004217. The next prime is 101402004251. The reversal of 101402004231 is 132400204101.

101402004231 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 200 + 423 + 1 = 666.

It is not a de Polignac number, because 101402004231 - 25 = 101402004199 is a prime.

It is a super-2 number, since 2×1014020042312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101402004251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3896431 + ... + 3922368.

It is an arithmetic number, because the mean of its divisors is an integer number (6708530400).

Almost surely, 2101402004231 is an apocalyptic number.

101402004231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101402004231 is a deficient number, since it is larger than the sum of its proper divisors (59602725369).

101402004231 is a wasteful number, since it uses less digits than its factorization.

101402004231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818947 (or 7818944 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101402004231 its reverse (132400204101), we get a palindrome (233802208332).

The spelling of 101402004231 in words is "one hundred one billion, four hundred two million, four thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 12969 7818799 23456397 70369191 86006789 258020367 774061101 1024262669 3072788007 9218364021 11266889359 33800668077 101402004231