Search a number
-
+
211224330204030 = 2335111323376428573
BaseRepresentation
bin110000000001101101111111…
…001010110111001101111110
31000200212211220202010211212000
4300001231333022313031332
5210141144412013012110
62025123041231523130
762330311545003453
oct6001557712671576
91020784822124760
10211224330204030
116133680a87a8a0
121b8348349894a6
1390b24a4543020
143a234526ad82a
151964669b871c0
hexc01b7f2b737e

211224330204030 has 512 divisors, whose sum is σ = 709171483668480. Its totient is φ = 43989946767360.

The previous prime is 211224330204023. The next prime is 211224330204049. The reversal of 211224330204030 is 30402033422112.

211224330204030 is a `hidden beast` number, since 2 + 1 + 1 + 22 + 433 + 0 + 204 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×2112243302040302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211224330203985 and 211224330204003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29642824 + ... + 36071396.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100554040).

Almost surely, 2211224330204030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211224330204030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585741834240).

211224330204030 is an abundant number, since it is smaller than the sum of its proper divisors (497947153464450).

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

211224330204030 is a wasteful number, since it uses less digits than its factorization.

211224330204030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428673 (or 6428667 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 211224330204030 its reverse (30402033422112), we get a palindrome (241626363626142).

The spelling of 211224330204030 in words is "two hundred eleven trillion, two hundred twenty-four billion, three hundred thirty million, two hundred four thousand, thirty".