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4130133021 = 327289105229
BaseRepresentation
bin1111011000101100…
…1101010000011101
3101122211120111101200
43312023031100131
531424303224041
61521455030113
7204230360100
oct36613152035
911584514350
104130133021
11182a397083
1297320b339
1350a8858c1
142b274a737
151928cd1b6
hexf62cd41d

4130133021 has 36 divisors (see below), whose sum is σ = 7017788700. Its totient is φ = 2333536128.

The previous prime is 4130133019. The next prime is 4130133041. The reversal of 4130133021 is 1203310314.

It can be written as a sum of positive squares in 2 ways, for example, as 2612640996 + 1517492025 = 51114^2 + 38955^2 .

It is not a de Polignac number, because 4130133021 - 21 = 4130133019 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4130132985 and 4130133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130133001) 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 35 ways as a sum of consecutive naturals, for example, 13366 + ... + 91863.

It is an arithmetic number, because the mean of its divisors is an integer number (194938575).

Almost surely, 24130133021 is an apocalyptic number.

It is an amenable number.

4130133021 is a deficient number, since it is larger than the sum of its proper divisors (2887655679).

4130133021 is a wasteful number, since it uses less digits than its factorization.

4130133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105338 (or 105328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4130133021 is about 64266.1109839393. The cubic root of 4130133021 is about 1604.4321151617.

Adding to 4130133021 its reverse (1203310314), we get a palindrome (5333443335).

The spelling of 4130133021 in words is "four billion, one hundred thirty million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 3 7 9 21 49 63 89 147 267 441 623 801 1869 4361 5607 13083 39249 105229 315687 736603 947061 2209809 5156221 6629427 9365381 15468663 28096143 46405989 65557667 84288429 196673001 458903669 590019003 1376711007 4130133021