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212102130 = 235193789113
BaseRepresentation
bin11001010010001…
…10101111110010
3112210002220102110
430221012233302
5413244232010
633014030150
75153560362
oct1451065762
9483086373
10212102130
11a97a9519
125b048356
1334c33926
14202529a2
151394a120
hexca46bf2

212102130 has 128 divisors (see below), whose sum is σ = 561427200. Its totient is φ = 51093504.

The previous prime is 212102089. The next prime is 212102153. The reversal of 212102130 is 31201212.

212102130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1876954 + ... + 1877066.

It is an arithmetic number, because the mean of its divisors is an integer number (4386150).

Almost surely, 2212102130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280713600).

212102130 is an abundant number, since it is smaller than the sum of its proper divisors (349325070).

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

212102130 is a wasteful number, since it uses less digits than its factorization.

212102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212102130 is about 14563.7265148725. The cubic root of 212102130 is about 596.3689310025.

Adding to 212102130 its reverse (31201212), we get a palindrome (243303342).

The spelling of 212102130 in words is "two hundred twelve million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 89 95 111 113 114 178 185 190 222 226 267 285 339 370 445 534 555 565 570 678 703 890 1110 1130 1335 1406 1691 1695 2109 2147 2670 3293 3382 3390 3515 4181 4218 4294 5073 6441 6586 7030 8362 8455 9879 10057 10146 10545 10735 12543 12882 16465 16910 19758 20114 20905 21090 21470 25086 25365 30171 32205 32930 41810 49395 50285 50730 60342 62567 62715 64410 79439 98790 100570 125134 125430 150855 158878 187701 191083 238317 301710 312835 372109 375402 382166 397195 476634 573249 625670 744218 794390 938505 955415 1116327 1146498 1191585 1860545 1877010 1910830 2232654 2383170 2866245 3721090 5581635 5732490 7070071 11163270 14140142 21210213 35350355 42420426 70700710 106051065 212102130