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920101100112001 = 127163165233268997
BaseRepresentation
bin1101000100110100111011101…
…1001110101100100010000001
311110122210210202200000002102201
43101031032323032230202001
51431044414023112041001
613020520335441113201
7364543052666621233
oct32115167316544201
94418723680002381
10920101100112001
1124719975a032a75
1287241910928801
13306532138c4842
141232d1b9110253
157158e1b4a6501
hex344d3bb3ac881

920101100112001 has 16 divisors (see below), whose sum is σ = 933044345247744. Its totient is φ = 907247001233664.

The previous prime is 920101100111987. The next prime is 920101100112017. The reversal of 920101100112001 is 100211001101029.

It is a cyclic number.

It is not a de Polignac number, because 920101100112001 - 27 = 920101100111873 is a prime.

It is a super-2 number, since 2×9201011001120012 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 920101100112001.

It is not an unprimeable number, because it can be changed into a prime (920101100112031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3420353835 + ... + 3420622831.

It is an arithmetic number, because the mean of its divisors is an integer number (58315271577984).

Almost surely, 2920101100112001 is an apocalyptic number.

It is an amenable number.

920101100112001 is a deficient number, since it is larger than the sum of its proper divisors (12943245135743).

920101100112001 is a wasteful number, since it uses less digits than its factorization.

920101100112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434520.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 920101100112001 in words is "nine hundred twenty trillion, one hundred one billion, one hundred million, one hundred twelve thousand, one".

Divisors: 1 127 163 20701 165233 268997 20984591 26932979 34162619 43846511 3420488333 5568506897 44447181301 5644792025227 7244890552063 920101100112001