Search a number
-
+
220211012112001 = 31109199332699683
BaseRepresentation
bin110010000100011111011111…
…001001110000111010000001
31001212200222010001121111111121
4302010133133021300322001
5212330414123100041001
62100203313053312241
764245502110603301
oct6204373711607201
91055628101544447
10220211012112001
1164190a694a2299
1220846452495681
1395b4a6a16a391
143c543ac6a7601
151a6d2d902c6a1
hexc847df270e81

220211012112001 has 16 divisors (see below), whose sum is σ = 229515158033920. Its totient is φ = 211046363602560.

The previous prime is 220211012111957. The next prime is 220211012112019. The reversal of 220211012112001 is 100211210112022.

It is a cyclic number.

It is not a de Polignac number, because 220211012112001 - 211 = 220211012109953 is a prime.

It is a super-2 number, since 2×2202110121120012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220211012112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9615495 + ... + 23084188.

It is an arithmetic number, because the mean of its divisors is an integer number (14344697377120).

Almost surely, 2220211012112001 is an apocalyptic number.

It is an amenable number.

220211012112001 is a deficient number, since it is larger than the sum of its proper divisors (9304145921919).

220211012112001 is a wasteful number, since it uses less digits than its factorization.

220211012112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32701816.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220211012112001 its reverse (100211210112022), we get a palindrome (320422222224023).

The spelling of 220211012112001 in words is "two hundred twenty trillion, two hundred eleven billion, twelve million, one hundred twelve thousand, one".

Divisors: 1 31 109 1993 3379 61783 217237 6734347 32699683 1013690173 3564265447 65170468219 110492228857 2020284514789 7103581035871 220211012112001