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101089209012 = 223113672086723
BaseRepresentation
bin101111000100101100…
…0101110101010110100
3100122221002011220010020
41132021120232222310
53124012314142022
6114234552325140
710206041045661
oct1361130565264
9318832156106
10101089209012
113996524aa40
12177126a37b0
1396c038280c
144c6d990a68
152969b8d35c
hex178962eab4

101089209012 has 48 divisors (see below), whose sum is σ = 258019249152. Its totient is φ = 30549610080.

The previous prime is 101089208963. The next prime is 101089209019. The reversal of 101089209012 is 210902980101.

It is a super-2 number, since 2×1010892090122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101089209019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994918 + ... + 1091805.

It is an arithmetic number, because the mean of its divisors is an integer number (5375401024).

Almost surely, 2101089209012 is an apocalyptic number.

101089209012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101089209012 is an abundant number, since it is smaller than the sum of its proper divisors (156930040140).

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

101089209012 is a wasteful number, since it uses less digits than its factorization.

101089209012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087108 (or 2087106 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 101089209012 in words is "one hundred one billion, eighty-nine million, two hundred nine thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 367 734 1101 1468 2202 4037 4404 8074 12111 16148 24222 48444 2086723 4173446 6260169 8346892 12520338 22953953 25040676 45907906 68861859 91815812 137723718 275447436 765827341 1531654682 2297482023 3063309364 4594964046 8424100751 9189928092 16848201502 25272302253 33696403004 50544604506 101089209012