Search a number
-
+
320220215402133 = 317229337349108287
BaseRepresentation
bin100100011001111010001010…
…0001100000101111010010101
31112222210202100101112121102210
41020303310110030011322111
5313432442000120332013
63053015045222424033
7124310101311526314
oct11063642414057225
91488722311477383
10320220215402133
11930396a351a572
122bab89a6292019
131098a837c00317
145910a538cc27b
1527049e1782cc3
hex1233d14305e95

320220215402133 has 96 divisors (see below), whose sum is σ = 471937729536000. Its totient is φ = 192862487494656.

The previous prime is 320220215402107. The next prime is 320220215402137. The reversal of 320220215402133 is 331204512022023.

It is not a de Polignac number, because 320220215402133 - 29 = 320220215401621 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 320220215402133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320220215402137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2957089516 + ... + 2957197802.

It is an arithmetic number, because the mean of its divisors is an integer number (4916018016000).

Almost surely, 2320220215402133 is an apocalyptic number.

It is an amenable number.

320220215402133 is a deficient number, since it is larger than the sum of its proper divisors (151717514133867).

320220215402133 is a wasteful number, since it uses less digits than its factorization.

320220215402133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109039 (or 109022 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 320220215402133 its reverse (331204512022023), we get a palindrome (651424727424156).

The spelling of 320220215402133 in words is "three hundred twenty trillion, two hundred twenty billion, two hundred fifteen million, four hundred two thousand, one hundred thirty-three".

Divisors: 1 3 17 29 51 87 289 337 349 493 867 1011 1047 1479 5729 5933 8381 9773 10121 17187 17799 25143 29319 30363 97393 100861 108287 117613 166141 172057 292179 302583 324861 352839 498423 516171 1840879 1999421 2824397 2924969 3140323 3410777 5522637 5998263 8473191 8774907 9420969 10232331 31294943 33990157 36492719 37792163 53385491 57983209 93884829 101970471 109478157 113376489 160156473 173949627 620376223 642466771 907553347 985714553 1058288851 1095972727 1861128669 1927400313 2722660041 2957143659 3174866553 3287918181 10546395791 10921935107 12735958931 17990910467 18631536359 31639187373 32765805321 38207876793 53972731401 55894609077 216511301827 305845477939 316736118103 369342808999 649533905481 917536433817 950208354309 1108028426997 3680692131059 6278827752983 11042076393177 18836483258949 106740071800711 320220215402133