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91012022200001 = 71931731272380997
BaseRepresentation
bin10100101100011001100011…
…010000001110011011000001
3102221020122221022101201222002
4110230121203100032123001
543412120110140400001
6521322202405353345
725112254516321520
oct2454314320163301
9387218838351862
1091012022200001
1126aa9a88942931
12a25a8a6108855
133ba2520bc1686
141869010a864b7
15a7c67179b46b
hex52c66340e6c1

91012022200001 has 64 divisors (see below), whose sum is σ = 115470402846720. Its totient is φ = 69985282106880.

The previous prime is 91012022199941. The next prime is 91012022200027. The reversal of 91012022200001 is 10000222021019.

It is a happy number.

It is not a de Polignac number, because 91012022200001 - 26 = 91012022199937 is a prime.

It is a super-4 number, since 4×910120222000014 (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91012022200031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37033835 + ... + 39414831.

It is an arithmetic number, because the mean of its divisors is an integer number (1804225044480).

Almost surely, 291012022200001 is an apocalyptic number.

It is an amenable number.

91012022200001 is a deficient number, since it is larger than the sum of its proper divisors (24458380646719).

91012022200001 is a wasteful number, since it uses less digits than its factorization.

91012022200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381254.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 91012022200001 in words is "ninety-one trillion, twelve billion, twenty-two million, two hundred thousand, one".

Divisors: 1 7 19 31 73 127 133 217 511 589 889 1387 2263 2413 3937 4123 9271 9709 15841 16891 27559 42997 64897 74803 176149 287401 300979 523621 1233043 2011807 2380997 5460619 16666979 38224333 45238943 73810907 173812781 302386619 316672601 516676349 1216689467 1402407233 2116706333 3302442839 5388196211 5745345761 9373985189 9816850631 22074223187 23117099873 37717373477 40217420327 65617896323 102375728009 154519562309 178105718591 419410240553 684300918797 716630096063 1246740030137 2935871683871 4790106431579 13001717457143 91012022200001