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220213241212419 = 327132136931510489
BaseRepresentation
bin110010000100100001100100…
…000001000110111000000011
31001212201011212102001112102100
4302010201210001012320003
5212330433204222244134
62100204322202521443
764245611255623320
oct6204414401067003
91055634772045370
10220213241212419
1164191a02798444
1220846974b06283
1395b5033c1a400
143c5454075bb47
151a6d3b9a96999
hexc84864046e03

220213241212419 has 72 divisors (see below), whose sum is σ = 393670259941920. Its totient is φ = 116147875124736.

The previous prime is 220213241212373. The next prime is 220213241212429. The reversal of 220213241212419 is 914212142312022.

220213241212419 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 3 + 24 + 1 + 212 + 419 = 666.

It is not a de Polignac number, because 220213241212419 - 27 = 220213241212291 is a prime.

It is a super-2 number, since 2×2202132412124192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220213241212429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145034127 + ... + 146544615.

Almost surely, 2220213241212419 is an apocalyptic number.

220213241212419 is a deficient number, since it is larger than the sum of its proper divisors (173457018729501).

220213241212419 is a wasteful number, since it uses less digits than its factorization.

220213241212419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524221 (or 1524205 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 220213241212419 in words is "two hundred twenty trillion, two hundred thirteen billion, two hundred forty-one million, two hundred twelve thousand, four hundred nineteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 3549 10647 13693 41079 95851 123237 178009 287553 534027 862659 1246063 1510489 1602081 2314117 3738189 4531467 6942351 10573423 11214567 13594401 16198819 19636357 20827053 31720269 48596457 58909071 95160807 137454499 145789371 176727213 255272641 412363497 765817923 1237090491 1786908487 2297453769 5360725461 16082176383 20683125877 62049377631 144781881139 186148132893 268880636401 434345643417 806641909203 1303036930251 1882164454807 2419925727609 3495448273213 5646493364421 10486344819639 16939480093263 24468137912491 31459034458917 73404413737473 220213241212419