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4131131220 = 22355850027
BaseRepresentation
bin1111011000111100…
…0000111101010100
3101122220110012200000
43312033000331110
531430032144340
61521532251300
7204242015226
oct36617007524
911586405600
104131131220
11182aa09037
12973610b30
1350ab45058
142b292a416
15192a28d30
hexf63c0f54

4131131220 has 72 divisors (see below), whose sum is σ = 12995228064. Its totient is φ = 1101633696.

The previous prime is 4131131219. The next prime is 4131131227. The reversal of 4131131220 is 221311314.

4131131220 is a `hidden beast` number, since 41 + 311 + 312 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4131131193 and 4131131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131131227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420154 + ... + 429873.

Almost surely, 24131131220 is an apocalyptic number.

It is an amenable number.

4131131220 is an abundant number, since it is smaller than the sum of its proper divisors (8864096844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131131220 is a wasteful number, since it uses less digits than its factorization.

4131131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850051 (or 850037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4131131220 is about 64273.8766529606. The cubic root of 4131131220 is about 1604.5613614853.

Adding to 4131131220 its reverse (221311314), we get a palindrome (4352442534).

The spelling of 4131131220 in words is "four billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 850027 1700054 2550081 3400108 4250135 5100162 7650243 8500270 10200324 12750405 15300486 17000540 22950729 25500810 30600972 38251215 45901458 51001620 68852187 76502430 91802916 114753645 137704374 153004860 206556561 229507290 275408748 344260935 413113122 459014580 688521870 826226244 1032782805 1377043740 2065565610 4131131220