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211201202120 = 23519492709097
BaseRepresentation
bin1100010010110010010…
…0101001011111001000
3202012010222022201011012
43010230210221133020
511430020001431440
6241005142423052
721154522411646
oct3045444513710
9665128281135
10211201202120
118162a633137
1234b22a31a88
1316bbab3201c
14a3179a8196
155761a08e65
hex312c9297c8

211201202120 has 32 divisors (see below), whose sum is σ = 475446699000. Its totient is φ = 84437104128.

The previous prime is 211201202101. The next prime is 211201202123. The reversal of 211201202120 is 21202102112.

It can be written as a sum of positive squares in 4 ways, for example, as 170276721316 + 40924480804 = 412646^2 + 202298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211201202095 and 211201202104.

It is not an unprimeable number, because it can be changed into a prime (211201202123) 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 7 ways as a sum of consecutive naturals, for example, 1276589 + ... + 1432508.

Almost surely, 2211201202120 is an apocalyptic number.

211201202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201202120 is an abundant number, since it is smaller than the sum of its proper divisors (264245496880).

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

211201202120 is a wasteful number, since it uses less digits than its factorization.

211201202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711057 (or 2711053 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211201202120 its reverse (21202102112), we get a palindrome (232403304232).

The spelling of 211201202120 in words is "two hundred eleven billion, two hundred one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1949 3898 7796 9745 15592 19490 38980 77960 2709097 5418194 10836388 13545485 21672776 27090970 54181940 108363880 5280030053 10560060106 21120120212 26400150265 42240240424 52800300530 105600601060 211201202120