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211322000133 = 32377944318133
BaseRepresentation
bin1100010011001111000…
…1011101001100000101
3202012110101121212212200
43010303301131030011
511430241413001013
6241025135505113
721160520235516
oct3046361351405
9665411555780
10211322000133
118169183a502
1234b57388199
1316c09b7823a
14a329a50a0d
15576c41ae73
hex3133c5d305

211322000133 has 48 divisors (see below), whose sum is σ = 318195121920. Its totient is φ = 135025667712.

The previous prime is 211322000111. The next prime is 211322000179. The reversal of 211322000133 is 331000223112.

211322000133 is a `hidden beast` number, since 211 + 322 + 0 + 0 + 0 + 133 = 666.

It is not a de Polignac number, because 211322000133 - 224 = 211305222917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211322000033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11644935 + ... + 11663067.

It is an arithmetic number, because the mean of its divisors is an integer number (6629065040).

Almost surely, 2211322000133 is an apocalyptic number.

It is an amenable number.

211322000133 is a deficient number, since it is larger than the sum of its proper divisors (106873121787).

211322000133 is a wasteful number, since it uses less digits than its factorization.

211322000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18698 (or 18695 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211322000133 its reverse (331000223112), we get a palindrome (542322223245).

The spelling of 211322000133 in words is "two hundred eleven billion, three hundred twenty-two million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 37 79 111 237 333 443 711 1329 2923 3987 8769 16391 18133 26307 34997 49173 54399 104991 147519 163197 314973 670921 1294889 1432507 2012763 3884667 4297521 6038289 8032919 11654001 12892563 24098757 53002759 72296271 159008277 297218003 477024831 634600601 891654009 1903801803 2674962027 5711405409 23480222237 70440666711 211322000133