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212402320031 = 11411513118931
BaseRepresentation
bin1100010111010000101…
…0100011001010011111
3202022020200102211011202
43011310022203022133
511434444443220111
6241324250510115
721226345634306
oct3056412431237
9668220384152
10212402320031
1182096632870
12351b913533b
131704c928295
14a3cd30943d
1557d21b5b3b
hex31742a329f

212402320031 has 16 divisors (see below), whose sum is σ = 238935142656. Its totient is φ = 187135800000.

The previous prime is 212402320019. The next prime is 212402320043. The reversal of 212402320031 is 130023204212.

212402320031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212402320019) and next prime (212402320043).

It is a cyclic number.

It is not a de Polignac number, because 212402320031 - 210 = 212402319007 is a prime.

It is a super-2 number, since 2×2124023200312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212402319985 and 212402320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212402320001) 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 15 ways as a sum of consecutive naturals, for example, 1491365 + ... + 1627566.

It is an arithmetic number, because the mean of its divisors is an integer number (14933446416).

Almost surely, 2212402320031 is an apocalyptic number.

212402320031 is a deficient number, since it is larger than the sum of its proper divisors (26532822625).

212402320031 is a wasteful number, since it uses less digits than its factorization.

212402320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119134.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212402320031 its reverse (130023204212), we get a palindrome (342425524243).

The spelling of 212402320031 in words is "two hundred twelve billion, four hundred two million, three hundred twenty thousand, thirty-one".

Divisors: 1 11 41 151 451 1661 6191 68101 3118931 34308241 127876171 470958581 1406637881 5180544391 19309301821 212402320031