Search a number
-
+
213303301310196 = 223316378715396127
BaseRepresentation
bin110000011111111110001011…
…100000010000011011110100
31000222020121002211001112211000
4300133332023200100123310
5210424230130113411241
62033354103413443300
762633440436561616
oct6037761340203364
91028217084045730
10213303301310196
1161a68470869579
121bb0b738040530
1392035519c6686
143a95d133c8db6
15199d795b45eb6
hexc1ff8b8106f4

213303301310196 has 96 divisors (see below), whose sum is σ = 557108275834880. Its totient is φ = 70575102569952.

The previous prime is 213303301310173. The next prime is 213303301310207. The reversal of 213303301310196 is 691013103303312.

213303301310196 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 330 + 1 + 310 + 1 + 9 + 6 = 666.

213303301310196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2133033013101962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213303301310196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6156285 + ... + 21552411.

Almost surely, 2213303301310196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213303301310196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278554137917440).

213303301310196 is an abundant number, since it is smaller than the sum of its proper divisors (343804974524684).

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

213303301310196 is a wasteful number, since it uses less digits than its factorization.

213303301310196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15397090 (or 15397082 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 213303301310196 in words is "two hundred thirteen trillion, three hundred three billion, three hundred one million, three hundred ten thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 787 978 1467 1574 1956 2361 2934 3148 4401 4722 5868 7083 8802 9444 14166 17604 21249 28332 42498 84996 128281 256562 384843 513124 769686 1154529 1539372 2309058 3463587 4618116 6927174 13854348 15396127 30792254 46188381 61584508 92376762 138565143 184753524 277130286 415695429 554260572 831390858 1662781716 2509568701 5019137402 7528706103 10038274804 12116751949 15057412206 22586118309 24233503898 30114824412 36350255847 45172236618 48467007796 67758354927 72700511694 90344473236 109050767541 135516709854 145401023388 218101535082 271033419708 327152302623 436203070164 654304605246 1308609210492 1975030567687 3950061135374 5925091703061 7900122270748 11850183406122 17775275109183 23700366812244 35550550218366 53325825327549 71101100436732 106651650655098 213303301310196