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211220110002 = 23113200304697
BaseRepresentation
bin1100010010110110110…
…0110001101010110010
3202012012021220022220010
43010231230301222302
511430034322010002
6241011055555350
721155142211656
oct3045554615262
9665167808803
10211220110002
118163a277990
1234b2922bb56
1316bc1a22315
14a31a2caa66
1557634e146c
hex312db31ab2

211220110002 has 16 divisors (see below), whose sum is σ = 460843876512. Its totient is φ = 64006093920.

The previous prime is 211220109973. The next prime is 211220110009. The reversal of 211220110002 is 200011022112.

211220110002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112201100022 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211220110002.

It is not an unprimeable number, because it can be changed into a prime (211220110009) 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 7 ways as a sum of consecutive naturals, for example, 1600152283 + ... + 1600152414.

It is an arithmetic number, because the mean of its divisors is an integer number (28802742282).

Almost surely, 2211220110002 is an apocalyptic number.

211220110002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211220110002 is an abundant number, since it is smaller than the sum of its proper divisors (249623766510).

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

211220110002 is a wasteful number, since it uses less digits than its factorization.

211220110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200304713.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211220110002 its reverse (200011022112), we get a palindrome (411231132114).

The spelling of 211220110002 in words is "two hundred eleven billion, two hundred twenty million, one hundred ten thousand, two".

Divisors: 1 2 3 6 11 22 33 66 3200304697 6400609394 9600914091 19201828182 35203351667 70406703334 105610055001 211220110002