Search a number
-
+
212991315785283 = 37192979463503249
BaseRepresentation
bin110000011011011011100111…
…101101111011011001000011
31000221010202211000020202210210
4300123123213231323121003
5210404122203320112113
62032554505405125203
762602054234431030
oct6033334755733103
91027122730222723
10212991315785283
11619581230a7a92
121ba7b188859803
1391accc1a309b9
143a84b98556387
1519955d61256c3
hexc1b6e7b7b643

212991315785283 has 128 divisors (see below), whose sum is σ = 358668288000000. Its totient is φ = 109680751724544.

The previous prime is 212991315785243. The next prime is 212991315785317. The reversal of 212991315785283 is 382587513199212.

It is a Cunningham number, because it is equal to 145942222-1.

It is not a de Polignac number, because 212991315785283 - 26 = 212991315785219 is a prime.

It is a super-2 number, since 2×2129913157852832 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212991315785233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422980843 + ... + 423484091.

It is an arithmetic number, because the mean of its divisors is an integer number (2802096000000).

Almost surely, 2212991315785283 is an apocalyptic number.

212991315785283 is a deficient number, since it is larger than the sum of its proper divisors (145676972214717).

212991315785283 is a wasteful number, since it uses less digits than its factorization.

212991315785283 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503849.

The product of its digits is 65318400, while the sum is 66.

The spelling of 212991315785283 in words is "two hundred twelve trillion, nine hundred ninety-one billion, three hundred fifteen million, seven hundred eighty-five thousand, two hundred eighty-three".

Divisors: 1 3 7 19 21 29 57 79 87 133 203 237 399 463 551 553 609 1389 1501 1653 1659 2291 3241 3857 4503 6873 8797 9723 10507 11571 13427 16037 26391 31521 36577 40281 43529 48111 61579 93989 109731 130587 184737 255113 256039 281967 304703 503249 694963 765339 768117 914109 1060733 1509747 1785791 2084889 3182199 3522743 4864741 5357373 7425131 9561731 10568229 14594221 14594223 20153927 22275393 28685193 39756671 43782663 60461781 66932117 102159547 119270013 141077489 200796351 233004287 277290199 278296697 306478641 423232467 699012861 755376749 831870597 834890091 1152943459 1631030009 1941031393 2266130247 3458830377 4427081453 4893090027 5287637243 5823094179 6757124323 8070604213 13281244359 15862911729 18407338673 20271372969 21905925721 24211812639 30989570171 47299870261 55222016019 65717777163 92968710513 128385362137 128851370711 141899610783 153341480047 349739434787 385156086411 386554112133 460024440141 533812821517 898697534959 1049218304361 1601438464551 2448176043509 2696092604877 3736689750619 7344528130527 10142443608823 11210069251857 30427330826469 70997105261761 212991315785283