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211220504144 = 24131015483193
BaseRepresentation
bin1100010010110110111…
…0010001111001010000
3202012012022122100112222
43010231232101321100
511430034422113034
6241011112240212
721155145443036
oct3045556217120
9665168570488
10211220504144
118163a517021
1234b293a0068
1316bc1b2c840
14a31a390556
15576356d12e
hex312db91e50

211220504144 has 20 divisors (see below), whose sum is σ = 440719706196. Its totient is φ = 97486386432.

The previous prime is 211220504083. The next prime is 211220504153. The reversal of 211220504144 is 441405022112.

It can be written as a sum of positive squares in 2 ways, for example, as 70511491600 + 140709012544 = 265540^2 + 375112^2 .

It is a super-2 number, since 2×2112205041442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507741389 + ... + 507741804.

Almost surely, 2211220504144 is an apocalyptic number.

It is an amenable number.

211220504144 is an abundant number, since it is smaller than the sum of its proper divisors (229499202052).

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

211220504144 is a wasteful number, since it uses less digits than its factorization.

211220504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015483214 (or 1015483208 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 211220504144 its reverse (441405022112), we get a palindrome (652625526256).

The spelling of 211220504144 in words is "two hundred eleven billion, two hundred twenty million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1015483193 2030966386 4061932772 8123865544 13201281509 16247731088 26402563018 52805126036 105610252072 211220504144