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101012322072 = 23334131233181
BaseRepresentation
bin101111000010011001…
…1011011011100011000
3100122201201111122001210
41132010303123130120
53123333123301242
6114223204343120
710204115366544
oct1360463333430
9318651448053
10101012322072
1139925905712
12176b09a4aa0
1396aa47239c
144c63698a24
152963051d9c
hex1784cdb718

101012322072 has 32 divisors (see below), whose sum is σ = 252605000880. Its totient is φ = 33660881280.

The previous prime is 101012322071. The next prime is 101012322211. The reversal of 101012322072 is 270223210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012322071) 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 7 ways as a sum of consecutive naturals, for example, 534679 + ... + 698502.

Almost surely, 2101012322072 is an apocalyptic number.

101012322072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012322072 is an abundant number, since it is smaller than the sum of its proper divisors (151592678808).

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

101012322072 is a wasteful number, since it uses less digits than its factorization.

101012322072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236603 (or 1236599 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 101012322072 its reverse (270223210101), we get a palindrome (371235532173).

The spelling of 101012322072 in words is "one hundred one billion, twelve million, three hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 3413 6826 10239 13652 20478 27304 40956 81912 1233181 2466362 3699543 4932724 7399086 9865448 14798172 29596344 4208846753 8417693506 12626540259 16835387012 25253080518 33670774024 50506161036 101012322072