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211201320001 = 72310928142829
BaseRepresentation
bin1100010010110010010…
…1000110010001000001
3202012010222112200212011
43010230211012101001
511430020014220001
6241005145132521
721154523412430
oct3045445062101
9665128480764
10211201320001
118162a703761
1234b22a8a141
1316bbab73889
14a3179d9117
155761a2dd51
hex312c946441

211201320001 has 32 divisors (see below), whose sum is σ = 255088627200. Its totient is φ = 170955671040.

The previous prime is 211201319963. The next prime is 211201320007. The reversal of 211201320001 is 100023102112.

It is not a de Polignac number, because 211201320001 - 231 = 209053836353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211201320007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4909855 + ... + 4952683.

It is an arithmetic number, because the mean of its divisors is an integer number (7971519600).

Almost surely, 2211201320001 is an apocalyptic number.

It is an amenable number.

211201320001 is a deficient number, since it is larger than the sum of its proper divisors (43887307199).

211201320001 is a wasteful number, since it uses less digits than its factorization.

211201320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43249.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211201320001 its reverse (100023102112), we get a palindrome (311224422113).

The spelling of 211201320001 in words is "two hundred eleven billion, two hundred one million, three hundred twenty thousand, one".

Divisors: 1 7 23 109 161 281 763 1967 2507 6463 17549 30629 42829 45241 214403 299803 704467 985067 4668361 4931269 6895469 12034949 32678527 84244643 107372303 276803827 751606121 1311809441 1937626789 9182666087 30171617143 211201320001