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2113140141 = 327231154571
BaseRepresentation
bin111110111110011…
…1111010110101101
312110021020122022200
41331330333112231
513311430441031
6545403532113
7103236252300
oct17574772655
95407218280
102113140141
119948a3512
124ab82a039
13278a3baa8
1416090ab37
15c57b08e6
hex7df3f5ad

2113140141 has 36 divisors (see below), whose sum is σ = 3665211264. Its totient is φ = 1168549200.

The previous prime is 2113140131. The next prime is 2113140149. The reversal of 2113140141 is 1410413112.

2113140141 is a `hidden beast` number, since 211 + 314 + 0 + 141 = 666.

It is not a de Polignac number, because 2113140141 - 29 = 2113139629 is a prime.

It is a super-2 number, since 2×21131401412 = 8930722511010999762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113140149) 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 35 ways as a sum of consecutive naturals, for example, 63615 + ... + 90956.

It is an arithmetic number, because the mean of its divisors is an integer number (101811424).

Almost surely, 22113140141 is an apocalyptic number.

2113140141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2113140141 is a deficient number, since it is larger than the sum of its proper divisors (1552071123).

2113140141 is a wasteful number, since it uses less digits than its factorization.

2113140141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154622 (or 154612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2113140141 is about 45968.9040656834. The cubic root of 2113140141 is about 1283.2445642915.

Adding to 2113140141 its reverse (1410413112), we get a palindrome (3523553253).

The spelling of 2113140141 in words is "two billion, one hundred thirteen million, one hundred forty thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 441 651 1519 1953 4557 13671 154571 463713 1081997 1391139 3245991 4791701 7573979 9737973 14375103 22721937 33541907 43125309 68165811 100625721 234793349 301877163 704380047 2113140141