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214242320001 = 31937691114699
BaseRepresentation
bin1100011110000111010…
…1100101111010000001
3202110222220201111121210
43013201311211322001
512002232013220001
6242231020240333
721323060446563
oct3074165457201
9673886644553
10214242320001
1182950227aa6
12356313a00a9
1317283bb1b68
14a525835333
15588d9c0dd6
hex31e1d65e81

214242320001 has 32 divisors (see below), whose sum is σ = 308883456000. Its totient is φ = 131625881280.

The previous prime is 214242319997. The next prime is 214242320023. The reversal of 214242320001 is 100023242412.

214242320001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214242320001 - 22 = 214242319997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214242320001.

It is not an unprimeable number, because it can be changed into a prime (214242320801) 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 31 ways as a sum of consecutive naturals, for example, 14567950 + ... + 14582648.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608000).

Almost surely, 2214242320001 is an apocalyptic number.

It is an amenable number.

214242320001 is a deficient number, since it is larger than the sum of its proper divisors (94641135999).

214242320001 is a wasteful number, since it uses less digits than its factorization.

214242320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21669.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 214242320001 its reverse (100023242412), we get a palindrome (314265562413).

The spelling of 214242320001 in words is "two hundred fourteen billion, two hundred forty-two million, three hundred twenty thousand, one".

Divisors: 1 3 19 37 57 111 703 2109 6911 14699 20733 44097 131309 255707 279281 393927 543863 767121 837843 1631589 4858433 10333397 14575299 31000191 101584789 304754367 1930110991 3758637193 5790332973 11275911579 71414106667 214242320001