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2100424131 = 3213591372221
BaseRepresentation
bin111110100110001…
…1110110111000011
312102101022121020100
41331030132313003
513300202033011
6544231213443
7103023211341
oct17514366703
95371277210
102100424131
119886a8813
124a7517283
13276208c20
1415cd5a991
15c45ecd56
hex7d31edc3

2100424131 has 48 divisors (see below), whose sum is σ = 3348465120. Its totient is φ = 1260817920.

The previous prime is 2100424121. The next prime is 2100424133. The reversal of 2100424131 is 1314240012.

2100424131 is a `hidden beast` number, since 210 + 0 + 42 + 413 + 1 = 666.

It is not a de Polignac number, because 2100424131 - 25 = 2100424099 is a prime.

It is a super-2 number, since 2×21004241312 = 8823563060174210322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100424133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944601 + ... + 946821.

It is an arithmetic number, because the mean of its divisors is an integer number (69759690).

Almost surely, 22100424131 is an apocalyptic number.

2100424131 is a deficient number, since it is larger than the sum of its proper divisors (1248040989).

2100424131 is a wasteful number, since it uses less digits than its factorization.

2100424131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2100424131 is about 45830.3843645239. The cubic root of 2100424131 is about 1280.6653708226.

Adding to 2100424131 its reverse (1314240012), we get a palindrome (3414664143).

The spelling of 2100424131 in words is "two billion, one hundred million, four hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 59 117 137 177 411 531 767 1233 1781 2221 2301 5343 6663 6903 8083 16029 19989 24249 28873 72747 86619 105079 131039 259857 304277 315237 393117 912831 945711 1179351 1703507 2738493 3955601 5110521 11866803 15331563 17952343 35600409 53857029 161571087 233380459 700141377 2100424131