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101381826645 = 32511204811771
BaseRepresentation
bin101111001101011010…
…0111110100001010101
3100200200110210102001100
41132122310332201111
53130112221423040
6114324004220313
710216223210421
oct1363264764125
9320613712040
10101381826645
1139aa54419a0
121779469a699
139738b97348
144c9a7a1b81
1529856deb30
hex179ad3e855

101381826645 has 24 divisors (see below), whose sum is σ = 191703818592. Its totient is φ = 49154824800.

The previous prime is 101381826629. The next prime is 101381826659. The reversal of 101381826645 is 546628183101.

101381826645 is a `hidden beast` number, since 1 + 0 + 1 + 381 + 8 + 266 + 4 + 5 = 666.

It is not a de Polignac number, because 101381826645 - 24 = 101381826629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 101381826645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102405391 + ... + 102406380.

It is an arithmetic number, because the mean of its divisors is an integer number (7987659108).

Almost surely, 2101381826645 is an apocalyptic number.

101381826645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101381826645 is a deficient number, since it is larger than the sum of its proper divisors (90321991947).

101381826645 is a wasteful number, since it uses less digits than its factorization.

101381826645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204811793 (or 204811790 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 101381826645 in words is "one hundred one billion, three hundred eighty-one million, eight hundred twenty-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 204811771 614435313 1024058855 1843305939 2252929481 3072176565 6758788443 9216529695 11264647405 20276365329 33793942215 101381826645