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101024343431 = 1140142154401
BaseRepresentation
bin101111000010110000…
…1010010010110000111
3100122202120010101021022
41132011201102112013
53123344212442211
6114224314141355
710204322515334
oct1360541222607
9318676111238
10101024343431
1139931676520
12176b4a2185b
1396acac100b
144c6510798b
152964128bdb
hex1785852587

101024343431 has 16 divisors (see below), whose sum is σ = 110747674656. Its totient is φ = 91392000000.

The previous prime is 101024343419. The next prime is 101024343439. The reversal of 101024343431 is 134343420101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101024343431 - 26 = 101024343367 is a prime.

It is a super-2 number, since 2×1010243434312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101024343431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024343439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1829831 + ... + 1884231.

It is an arithmetic number, because the mean of its divisors is an integer number (6921729666).

Almost surely, 2101024343431 is an apocalyptic number.

101024343431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101024343431 is a deficient number, since it is larger than the sum of its proper divisors (9723331225).

101024343431 is a wasteful number, since it uses less digits than its factorization.

101024343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55234.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 101024343431 its reverse (134343420101), we get a palindrome (235367763532).

The spelling of 101024343431 in words is "one hundred one billion, twenty-four million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 11 401 421 4411 4631 54401 168821 598411 1857031 21814801 22902821 239962811 251931031 9184031221 101024343431