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2122040241 = 33312535293
BaseRepresentation
bin111111001111011…
…1100001110110001
312110212222210222000
41332132330032301
513321220241431
6550322404213
7103405021146
oct17636741661
95425883860
102122040241
11999922272
124b2800669
1327a836b19
14161b863cd
15c646c9e6
hex7e7bc3b1

2122040241 has 16 divisors (see below), whose sum is σ = 3245176320. Its totient is φ = 1369057680.

The previous prime is 2122040227. The next prime is 2122040257. The reversal of 2122040241 is 1420402212.

2122040241 is a `hidden beast` number, since 2 + 1 + 220 + 402 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2122040241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122040201) 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, 1266810 + ... + 1268483.

It is an arithmetic number, because the mean of its divisors is an integer number (202823520).

Almost surely, 22122040241 is an apocalyptic number.

It is an amenable number.

2122040241 is a deficient number, since it is larger than the sum of its proper divisors (1123136079).

2122040241 is a wasteful number, since it uses less digits than its factorization.

2122040241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535333 (or 2535327 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2122040241 is about 46065.6080064076. The cubic root of 2122040241 is about 1285.0436259268.

Adding to 2122040241 its reverse (1420402212), we get a palindrome (3542442453).

The spelling of 2122040241 in words is "two billion, one hundred twenty-two million, forty thousand, two hundred forty-one".

Divisors: 1 3 9 27 31 93 279 837 2535293 7605879 22817637 68452911 78594083 235782249 707346747 2122040241