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211312204432 = 2472313861121
BaseRepresentation
bin1100010011001100110…
…0000101101010010000
3202012102201012012200221
43010303030011222100
511430231411020212
6241024145522424
721160341046600
oct3046314055220
9665381165627
10211312204432
118168725988a
1234b54043414
1316c07b28674
14a328620c00
15576b633807
hex3133305a90

211312204432 has 60 divisors (see below), whose sum is σ = 477783208236. Its totient is φ = 90272931840.

The previous prime is 211312204429. The next prime is 211312204451. The reversal of 211312204432 is 234402213112.

It can be written as a sum of positive squares in 2 ways, for example, as 40789457296 + 170522747136 = 201964^2 + 412944^2 .

It is a super-2 number, since 2×2113122044322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211312204397 and 211312204406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185169 + ... + 675952.

Almost surely, 2211312204432 is an apocalyptic number.

It is an amenable number.

211312204432 is an abundant number, since it is smaller than the sum of its proper divisors (266471003804).

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

211312204432 is a wasteful number, since it uses less digits than its factorization.

211312204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861456 (or 861443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211312204432 its reverse (234402213112), we get a palindrome (445714417544).

The spelling of 211312204432 in words is "two hundred eleven billion, three hundred twelve million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 313 392 626 784 1252 2191 2504 4382 5008 8764 15337 17528 30674 35056 61348 122696 245392 861121 1722242 3444484 6027847 6888968 12055694 13777936 24111388 42194929 48222776 84389858 96445552 168779716 269530873 337559432 539061746 675118864 1078123492 1886716111 2156246984 3773432222 4312493968 7546864444 13207012777 15093728888 26414025554 30187457776 52828051108 105656102216 211312204432