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212000313021 = 3773895232971
BaseRepresentation
bin1100010101110000110…
…1000000111010111101
3202021012122222202020020
43011130031000322331
511433134040004041
6241220330242353
721213364633230
oct3053415007275
9667178882206
10212000313021
11819aa716a72
12351065863b9
1316cb7563303
14a391b81417
1557abc57866
hex315c340ebd

212000313021 has 64 divisors (see below), whose sum is σ = 331897743360. Its totient is φ = 117875450880.

The previous prime is 212000313001. The next prime is 212000313023. The reversal of 212000313021 is 120313000212.

212000313021 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 212000313021 - 218 = 212000050877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000313023) 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 63 ways as a sum of consecutive naturals, for example, 71355066 + ... + 71358036.

It is an arithmetic number, because the mean of its divisors is an integer number (5185902240).

Almost surely, 2212000313021 is an apocalyptic number.

212000313021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212000313021 is a deficient number, since it is larger than the sum of its proper divisors (119897430339).

212000313021 is a wasteful number, since it uses less digits than its factorization.

212000313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212000313021 its reverse (120313000212), we get a palindrome (332313313233).

The spelling of 212000313021 in words is "two hundred twelve billion, three hundred thirteen thousand, twenty-one".

Divisors: 1 3 7 21 73 89 219 267 511 523 623 1533 1569 1869 2971 3661 6497 8913 10983 19491 20797 38179 45479 46547 62391 114537 136437 139641 216883 264419 267253 325829 650649 793257 801759 977487 1518181 1553833 1850933 3397931 4554543 4661499 5552799 10193793 10876831 19302587 23785517 32630493 57907761 71356551 113429809 135118109 138291137 340289427 405354327 414873411 794008663 968037959 2382025989 2904113877 10095253001 30285759003 70666771007 212000313021