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91012022010001 = 1979251331729821
BaseRepresentation
bin10100101100011001100011…
…001111100000000010010001
3102221020122221022001002100001
4110230121203033200002101
543412120110113310001
6521322202401330001
725112254514600551
oct2454314317400221
9387218838032301
1091012022010001
1126aa9a88823104
12a25a8a6036901
133ba2520b56051
141869010a37161
15a7c671760001
hex52c6633e0091

91012022010001 has 32 divisors (see below), whose sum is σ = 97695724492800. Its totient is φ = 84535050600000.

The previous prime is 91012022009969. The next prime is 91012022010031. The reversal of 91012022010001 is 10001022021019.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 91012022010001 - 25 = 91012022009969 is a prime.

It is a super-4 number, since 4×910120220100014 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91012022010031) 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 31 ways as a sum of consecutive naturals, for example, 124339671 + ... + 125069491.

It is an arithmetic number, because the mean of its divisors is an integer number (3052991390400).

Almost surely, 291012022010001 is an apocalyptic number.

It is an amenable number.

91012022010001 is a deficient number, since it is larger than the sum of its proper divisors (6683702482799).

91012022010001 is a wasteful number, since it uses less digits than its factorization.

91012022010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730501.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 91012022010001 in words is "ninety-one trillion, twelve billion, twenty-two million, ten thousand, one".

Divisors: 1 19 79 251 331 1501 4769 6289 19829 26149 83081 376751 496831 729821 1578539 6563399 13866599 57655859 124704581 183185071 241570751 1095461321 3480516349 4589844269 14471620609 19084089329 60634258501 274960791571 362597697251 1152050911519 4790106421579 91012022010001