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211211333130 = 23572413504419
BaseRepresentation
bin1100010010110100101…
…1010010111000001010
3202012011200101102021210
43010231023102320022
511430030100130010
6241010143513550
721155004465300
oct3045513227012
9665150342253
10211211333130
1181635322776
1234b262b88b6
1316bbcc6b3c5
14a319084270
15576285ab20
hex312d2d2e0a

211211333130 has 96 divisors (see below), whose sum is σ = 604049866560. Its totient is φ = 47099377920.

The previous prime is 211211333111. The next prime is 211211333153. The reversal of 211211333130 is 31333112112.

It is a happy number.

It is a super-2 number, since 2×2112113331302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 211211333097 and 211211333106.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1691940 + ... + 1812479.

It is an arithmetic number, because the mean of its divisors is an integer number (6292186110).

Almost surely, 2211211333130 is an apocalyptic number.

211211333130 is an abundant number, since it is smaller than the sum of its proper divisors (392838533430).

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

211211333130 is a wasteful number, since it uses less digits than its factorization.

211211333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504484 (or 3504477 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211211333130 its reverse (31333112112), we get a palindrome (242544445242).

The spelling of 211211333130 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 70 82 98 105 123 147 205 210 245 246 287 294 410 490 574 615 735 861 1230 1435 1470 1722 2009 2870 4018 4305 6027 8610 10045 12054 20090 30135 60270 3504419 7008838 10513257 17522095 21026514 24530933 35044190 49061866 52566285 73592799 105132570 122654665 143681179 147185598 171716531 245309330 287362358 343433062 367963995 431043537 515149593 718405895 735927990 858582655 862087074 1005768253 1030299186 1436811790 1717165310 2011536506 2155217685 2575747965 3017304759 4310435370 5028841265 5151495930 6034609518 7040377771 10057682530 14080755542 15086523795 21121133313 30173047590 35201888855 42242266626 70403777710 105605666565 211211333130