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4212242120 = 2351314571759
BaseRepresentation
bin1111101100010001…
…1011011011001000
3101212120002001220102
43323010123123020
532111313221440
61533550544532
7206245316162
oct37304333310
911776061812
104212242120
111871778939
12996808148
135218a3c78
142bd601932
15199bebb15
hexfb11b6c8

4212242120 has 64 divisors (see below), whose sum is σ = 9576230400. Its totient is φ = 1667427840.

The previous prime is 4212242081. The next prime is 4212242123. The reversal of 4212242120 is 212422124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4212242092 and 4212242101.

It is not an unprimeable number, because it can be changed into a prime (4212242123) 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 15 ways as a sum of consecutive naturals, for example, 2393801 + ... + 2395559.

It is an arithmetic number, because the mean of its divisors is an integer number (149628600).

Almost surely, 24212242120 is an apocalyptic number.

4212242120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212242120 is an abundant number, since it is smaller than the sum of its proper divisors (5363988280).

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

4212242120 is a wasteful number, since it uses less digits than its factorization.

4212242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4212242120 is about 64901.7882650394. The cubic root of 4212242120 is about 1614.9947275593.

Adding to 4212242120 its reverse (212422124), we get a palindrome (4424664244).

The spelling of 4212242120 in words is "four billion, two hundred twelve million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 457 524 655 914 1048 1310 1759 1828 2285 2620 3518 3656 4570 5240 7036 8795 9140 14072 17590 18280 35180 59867 70360 119734 230429 239468 299335 460858 478936 598670 803863 921716 1152145 1197340 1607726 1843432 2304290 2394680 3215452 4019315 4608580 6430904 8038630 9217160 16077260 32154520 105306053 210612106 421224212 526530265 842448424 1053060530 2106121060 4212242120