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214213133310 = 235116131134217
BaseRepresentation
bin1100011110000000011…
…0010000001111111110
3202110220212210200000020
43013200012100033332
512002202030231220
6242224054513010
721322254406311
oct3074006201776
9673825720006
10214213133310
1182935802670
1235623665766
131727ab33127
14a5219d8978
15588b158040
hex31e01903fe

214213133310 has 128 divisors (see below), whose sum is σ = 571892825088. Its totient is φ = 50913408000.

The previous prime is 214213133237. The next prime is 214213133317. The reversal of 214213133310 is 13331312412.

It is a super-2 number, since 2×2142131333102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214213133317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6243322 + ... + 6277538.

It is an arithmetic number, because the mean of its divisors is an integer number (4467912696).

Almost surely, 2214213133310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214213133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285946412544).

214213133310 is an abundant number, since it is smaller than the sum of its proper divisors (357679691778).

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

214213133310 is a wasteful number, since it uses less digits than its factorization.

214213133310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34610.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 214213133310 its reverse (13331312412), we get a palindrome (227544445722).

The spelling of 214213133310 in words is "two hundred fourteen billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 311 330 366 610 622 671 915 933 1342 1555 1830 1866 2013 3110 3355 3421 4026 4665 6710 6842 9330 10065 10263 17105 18971 20130 20526 34210 34217 37942 51315 56913 68434 94855 102630 102651 113826 171085 189710 205302 208681 284565 342170 376387 417362 513255 569130 626043 752774 1026510 1043405 1129161 1252086 1881935 2086810 2087237 2258322 3130215 3763870 4174474 5645805 6260430 6261711 10436185 10641487 11291610 12523422 20872370 21282974 22959607 31308555 31924461 45919214 53207435 62617110 63848922 68878821 106414870 114798035 117056357 137757642 159622305 229596070 234112714 319244610 344394105 351169071 585281785 649130707 688788210 702338142 1170563570 1298261414 1755845355 1947392121 3245653535 3511690710 3894784242 6491307070 7140437777 9736960605 14280875554 19473921210 21421313331 35702188885 42842626662 71404377770 107106566655 214213133310