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212114525140 = 22572216443393
BaseRepresentation
bin1100010110001100000…
…0101100101111010100
3202021111121220022210201
43011203000230233110
511433402304301030
6241235530230244
721216252500200
oct3054300545724
9667447808721
10212114525140
1181a59135251
1235138885384
131700511194b
14a3a2dd1b00
1557b6cb82ca
hex316302cbd4

212114525140 has 36 divisors (see below), whose sum is σ = 518165485236. Its totient is φ = 72724979712.

The previous prime is 212114525107. The next prime is 212114525173. The reversal of 212114525140 is 41525411212.

It is an interprime number because it is at equal distance from previous prime (212114525107) and next prime (212114525173).

It can be written as a sum of positive squares in 2 ways, for example, as 76770001476 + 135344523664 = 277074^2 + 367892^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212114525099 and 212114525108.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 108220717 + ... + 108222676.

It is an arithmetic number, because the mean of its divisors is an integer number (14393485701).

Almost surely, 2212114525140 is an apocalyptic number.

212114525140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212114525140 is an abundant number, since it is smaller than the sum of its proper divisors (306050960096).

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

212114525140 is a wasteful number, since it uses less digits than its factorization.

212114525140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216443416 (or 216443407 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 212114525140 its reverse (41525411212), we get a palindrome (253639936352).

The spelling of 212114525140 in words is "two hundred twelve billion, one hundred fourteen million, five hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 216443393 432886786 865773572 1082216965 1515103751 2164433930 3030207502 4328867860 6060415004 7575518755 10605726257 15151037510 21211452514 30302075020 42422905028 53028631285 106057262570 212114525140