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213431218 = 2711131931181
BaseRepresentation
bin11001011100010…
…11001110110010
3112212121102120221
430232023032302
5414114244333
633102323254
75201064310
oct1456131662
9485542527
10213431218
11aa527040
125b58952a
13352aa880
14204bb0b0
1513b0dd2d
hexcb8b3b2

213431218 has 128 divisors (see below), whose sum is σ = 469647360. Its totient is φ = 69984000.

The previous prime is 213431171. The next prime is 213431233. The reversal of 213431218 is 812134312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213431192 and 213431201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1179088 + ... + 1179268.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2213431218 is an apocalyptic number.

213431218 is an abundant number, since it is smaller than the sum of its proper divisors (256216142).

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

213431218 is a wasteful number, since it uses less digits than its factorization.

213431218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its digits is 1152, while the sum is 25.

The square root of 213431218 is about 14609.2853350190. The cubic root of 213431218 is about 597.6120065693.

The spelling of 213431218 in words is "two hundred thirteen million, four hundred thirty-one thousand, two hundred eighteen".

Divisors: 1 2 7 11 13 14 19 22 26 31 38 62 77 91 133 143 154 181 182 209 217 247 266 286 341 362 403 418 434 494 589 682 806 1001 1178 1267 1463 1729 1991 2002 2353 2387 2534 2717 2821 2926 3439 3458 3982 4123 4433 4706 4774 5434 5611 5642 6479 6878 7657 8246 8866 11222 12958 13937 15314 16471 19019 24073 25883 27874 31031 32942 37829 38038 39277 44707 45353 48146 51766 53599 61721 62062 72943 75658 78554 84227 89414 90706 106609 107198 123442 145886 168454 181181 213218 264803 312949 362362 432047 491777 510601 529606 589589 625898 746263 802373 864094 983554 1021202 1172699 1179178 1385917 1492526 1604746 2345398 2771834 3442439 5616611 6884878 8208893 9701419 11233222 15245087 16417786 19402838 30490174 106715609 213431218