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211222202130 = 23258974335491
BaseRepresentation
bin1100010010110111010…
…0110000011100010010
3202012012102211121202100
43010231310300130102
511430040340432010
6241011212501230
721155166044322
oct3045564603422
9665172747670
10211222202130
1181640476815
1234b29a7a816
1316bc22a5674
14a31a6b3282
1557637a62c0
hex312dd30712

211222202130 has 96 divisors (see below), whose sum is σ = 556111370880. Its totient is φ = 55616520960.

The previous prime is 211222202101. The next prime is 211222202131. The reversal of 211222202130 is 31202222112.

211222202130 is a `hidden beast` number, since 211 + 22 + 220 + 213 + 0 = 666.

It is a super-2 number, since 2×2112222021302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211222202131) by changing a digit.

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, 5933685 + ... + 5969175.

It is an arithmetic number, because the mean of its divisors is an integer number (5792826780).

Almost surely, 2211222202130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278055685440).

211222202130 is an abundant number, since it is smaller than the sum of its proper divisors (344889168750).

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

211222202130 is a wasteful number, since it uses less digits than its factorization.

211222202130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36336 (or 36333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211222202130 its reverse (31202222112), we get a palindrome (242424424242).

The spelling of 211222202130 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 743 801 890 1335 1486 1602 2229 2670 3715 4005 4458 6687 7430 8010 11145 13374 22290 33435 35491 66127 66870 70982 106473 132254 177455 198381 212946 319419 330635 354910 396762 532365 595143 638838 661270 991905 1064730 1190286 1597095 1983810 2975715 3158699 3194190 5951430 6317398 9476097 15793495 18952194 26369813 28428291 31586990 47380485 52739626 56856582 79109439 94760970 131849065 142141455 158218878 237328317 263698130 284282910 395547195 474656634 791094390 1186641585 2346913357 2373283170 4693826714 7040740071 11734566785 14081480142 21122220213 23469133570 35203700355 42244440426 70407400710 105611101065 211222202130