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211221010002 = 23233741367217
BaseRepresentation
bin1100010010110111000…
…0001101011001010010
3202012012100121001110110
43010231300031121102
511430040034310002
6241011131142150
721155152650612
oct3045560153122
9665170531413
10211221010002
118163a832092
1234b295a4956
1316bc1c78b72
14a31a482a42
15576361ce6c
hex312dc0d652

211221010002 has 32 divisors (see below), whose sum is σ = 452722833792. Its totient is φ = 65525670144.

The previous prime is 211221009953. The next prime is 211221010003. The reversal of 211221010002 is 200010122112.

It is a super-2 number, since 2×2112210100022 (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 211221010002.

It is not an unprimeable number, because it can be changed into a prime (211221010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20678503 + ... + 20688714.

It is an arithmetic number, because the mean of its divisors is an integer number (14147588556).

Almost surely, 2211221010002 is an apocalyptic number.

211221010002 is an abundant number, since it is smaller than the sum of its proper divisors (241501823790).

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

211221010002 is a wasteful number, since it uses less digits than its factorization.

211221010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41367282.

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

Adding to 211221010002 its reverse (200010122112), we get a palindrome (411231132114).

It can be divided in two parts, 2112210 and 10002, that added together give a palindrome (2122212).

The spelling of 211221010002 in words is "two hundred eleven billion, two hundred twenty-one million, ten thousand, two".

Divisors: 1 2 3 6 23 37 46 69 74 111 138 222 851 1702 2553 5106 41367217 82734434 124101651 248203302 951445991 1530587029 1902891982 2854337973 3061174058 4591761087 5708675946 9183522174 35203501667 70407003334 105610505001 211221010002