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101432145126 = 23131968442743
BaseRepresentation
bin101111001110111010…
…0111011010011100110
3100200210222110212000210
41132131310323103212
53130213112121001
6114333002520250
710220404002504
oct1363564732346
9320728425023
10101432145126
113a02088aa14
12177a9506086
1397464346b0
144ca333d674
152989d2ddd6
hex179dd3b4e6

101432145126 has 32 divisors (see below), whose sum is σ = 229967619840. Its totient is φ = 29567264544.

The previous prime is 101432145083. The next prime is 101432145163. The reversal of 101432145126 is 621541234101.

It is a junction number, because it is equal to n+sod(n) for n = 101432145093 and 101432145102.

It is a congruent number.

It is an unprimeable number.

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, 34219890 + ... + 34222853.

It is an arithmetic number, because the mean of its divisors is an integer number (7186488120).

Almost surely, 2101432145126 is an apocalyptic number.

101432145126 is an abundant number, since it is smaller than the sum of its proper divisors (128535474714).

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

101432145126 is a wasteful number, since it uses less digits than its factorization.

101432145126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68442780.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 101432145126 its reverse (621541234101), we get a palindrome (722973379227).

The spelling of 101432145126 in words is "one hundred one billion, four hundred thirty-two million, one hundred forty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 68442743 136885486 205328229 410656458 889755659 1300412117 1779511318 2600824234 2669266977 3901236351 5338533954 7802472702 16905357521 33810715042 50716072563 101432145126