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212120221002 = 231937478910501
BaseRepresentation
bin1100010110001101011…
…0011011010101001010
3202021112000121201001120
43011203112123111022
511433410234033002
6241240252300110
721216352062204
oct3054326332512
9667460551046
10212120221002
1181a61375678
123513a771636
1317006357391
14a3a3a75774
1557b7540cbc
hex316359b54a

212120221002 has 64 divisors (see below), whose sum is σ = 458777769600. Its totient is φ = 65155104000.

The previous prime is 212120220973. The next prime is 212120221009. The reversal of 212120221002 is 200122021212.

212120221002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212120221009) 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, 20194752 + ... + 20205252.

It is an arithmetic number, because the mean of its divisors is an integer number (7168402650).

Almost surely, 2212120221002 is an apocalyptic number.

212120221002 is an abundant number, since it is smaller than the sum of its proper divisors (246657548598).

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

212120221002 is a wasteful number, since it uses less digits than its factorization.

212120221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212120221002 its reverse (200122021212), we get a palindrome (412242242214).

The spelling of 212120221002 in words is "two hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 703 1406 2109 4218 4789 9578 10501 14367 21002 28734 31503 63006 90991 177193 181982 199519 272973 354386 388537 399038 531579 545946 598557 777074 1063158 1165611 1197114 2331222 3366667 6733334 7382203 10100001 14764406 20200002 22146609 44293218 50289289 100578578 150867867 301735734 955496491 1860703693 1910992982 2866489473 3721407386 5582111079 5732978946 11164222158 35353370167 70706740334 106060110501 212120221002