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101334032020 = 22513389746277
BaseRepresentation
bin101111001011111111…
…0101001111010010100
3100200120010212012011001
41132113332221322110
53130013003011040
6114315135553044
710215103026454
oct1362776517224
9320503765131
10101334032020
1139a80468101
121778068b784
13972c0019c0
144c942bdd64
1529813ed59a
hex1797fa9e94

101334032020 has 24 divisors (see below), whose sum is σ = 229170811464. Its totient is φ = 37415642496.

The previous prime is 101334032003. The next prime is 101334032039. The reversal of 101334032020 is 20230433101.

It can be written as a sum of positive squares in 4 ways, for example, as 1773588996 + 99560443024 = 42114^2 + 315532^2 .

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 7 ways as a sum of consecutive naturals, for example, 194872879 + ... + 194873398.

It is an arithmetic number, because the mean of its divisors is an integer number (9548783811).

Almost surely, 2101334032020 is an apocalyptic number.

101334032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101334032020 is an abundant number, since it is smaller than the sum of its proper divisors (127836779444).

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

101334032020 is a wasteful number, since it uses less digits than its factorization.

101334032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389746299 (or 389746297 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 101334032020 its reverse (20230433101), we get a palindrome (121564465121).

The spelling of 101334032020 in words is "one hundred one billion, three hundred thirty-four million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 389746277 779492554 1558985108 1948731385 3897462770 5066701601 7794925540 10133403202 20266806404 25333508005 50667016010 101334032020