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2072122046181 = 3211312801241049
BaseRepresentation
bin11110001001110100000…
…110010011011011100101
321100002111202012101221200
4132021310012103123211
5232422201220434211
64223530354433113
7302464054532205
oct36116406233345
97302452171850
102072122046181
11729866969630
12295711592799
13120528518445
1472411250405
1538d79a5cb56
hex1e2741936e5

2072122046181 has 48 divisors (see below), whose sum is σ = 3371707123200. Its totient is φ = 1214881920000.

The previous prime is 2072122046161. The next prime is 2072122046191. The reversal of 2072122046181 is 1816402212702.

2072122046181 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 12 + 20 + 4 + 618 + 1 = 666.

It is not a de Polignac number, because 2072122046181 - 26 = 2072122046117 is a prime.

It is a super-2 number, since 2×20721220461812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072122046161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8475745 + ... + 8716793.

It is an arithmetic number, because the mean of its divisors is an integer number (70243898400).

Almost surely, 22072122046181 is an apocalyptic number.

It is an amenable number.

2072122046181 is a deficient number, since it is larger than the sum of its proper divisors (1299585077019).

2072122046181 is a wasteful number, since it uses less digits than its factorization.

2072122046181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243898 (or 243895 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 2072122046181 its reverse (1816402212702), we get a palindrome (3888524258883).

The spelling of 2072122046181 in words is "two trillion, seventy-two billion, one hundred twenty-two million, forty-six thousand, one hundred eighty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 2801 3069 8403 25209 30811 86831 92433 241049 260493 277299 723147 781479 955141 2169441 2651539 2865423 7472519 7954617 8596269 22417557 23863851 67252671 82197709 246593127 675178249 739779381 2025534747 6076604241 7426960739 20930525719 22280882217 62791577157 66842646651 188374731471 230235782909 690707348727 2072122046181