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101040312432 = 2437129647979
BaseRepresentation
bin101111000011001111…
…0001101000001110000
3100122210200011200121210
41132012132031001300
53123412304444212
6114230044320120
710204605325233
oct1360636150160
9318720150553
10101040312432
113993a693244
12176ba243040
1396b31c2727
144c672a341a
15296573053c
hex178678d070

101040312432 has 40 divisors (see below), whose sum is σ = 264697165440. Its totient is φ = 33205735360.

The previous prime is 101040312431. The next prime is 101040312469. The reversal of 101040312432 is 234213040101.

It is a junction number, because it is equal to n+sod(n) for n = 101040312399 and 101040312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040312431) 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 7 ways as a sum of consecutive naturals, for example, 14820582 + ... + 14827397.

It is an arithmetic number, because the mean of its divisors is an integer number (6617429136).

Almost surely, 2101040312432 is an apocalyptic number.

101040312432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101040312432 is an abundant number, since it is smaller than the sum of its proper divisors (163656853008).

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

101040312432 is a wasteful number, since it uses less digits than its factorization.

101040312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29648061 (or 29648055 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101040312432 its reverse (234213040101), we get a palindrome (335253352533).

The spelling of 101040312432 in words is "one hundred one billion, forty million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 29647979 59295958 88943937 118591916 177887874 237183832 355775748 474367664 711551496 1423102992 2105006509 4210013018 6315019527 8420026036 12630039054 16840052072 25260078108 33680104144 50520156216 101040312432