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101113442432430 = 2359673485468543
BaseRepresentation
bin10110111111011001001110…
…110100010111010110101110
3111021000100110122200121200020
4112333121032310113112232
5101223120312230314210
6555014512454143010
730204130235515011
oct2677311664272656
9437010418617606
10101113442432430
112a243a7425a65a
12b410567351a66
134455c58b7023c
141ad7cb96d3378
15ba52d5468770
hex5bf64ed175ae

101113442432430 has 32 divisors (see below), whose sum is σ = 242923215642624. Its totient is φ = 26935700892576.

The previous prime is 101113442432417. The next prime is 101113442432491. The reversal of 101113442432430 is 34234244311101.

It is a happy number.

It is a super-3 number, since 3×1011134424324303 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113442432391 and 101113442432400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742705262 + ... + 1742763281.

It is an arithmetic number, because the mean of its divisors is an integer number (7591350488832).

Almost surely, 2101113442432430 is an apocalyptic number.

101113442432430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101113442432430 is an abundant number, since it is smaller than the sum of its proper divisors (141809773210194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101113442432430 is a wasteful number, since it uses less digits than its factorization.

101113442432430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485469520.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 101113442432430 its reverse (34234244311101), we get a palindrome (135347686743531).

The spelling of 101113442432430 in words is "one hundred one trillion, one hundred thirteen billion, four hundred forty-two million, four hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 967 1934 2901 4835 5802 9670 14505 29010 3485468543 6970937086 10456405629 17427342715 20912811258 34854685430 52282028145 104564056290 3370448081081 6740896162162 10111344243243 16852240405405 20222688486486 33704480810810 50556721216215 101113442432430