Search a number
-
+
20332313302302 = 2331624992317087
BaseRepresentation
bin1001001111101111111000…
…10011111101010100011110
32122222202020212120100222000
410213313330103331110132
510131111034201133202
6111124311421303130
74165650451336551
oct447677423752436
978882225510860
1020332313302302
116529981884651
122344656704aa6
13b46437829561
14504136b3a698
15253d542bb91c
hex127dfc4fd51e

20332313302302 has 32 divisors (see below), whose sum is σ = 45183216000000. Its totient is φ = 6777393134904.

The previous prime is 20332313302187. The next prime is 20332313302303. The reversal of 20332313302302 is 20320331323302.

20332313302302 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 23 + 1 + 330 + 2 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332313302303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7616403 + ... + 9933489.

It is an arithmetic number, because the mean of its divisors is an integer number (1411975500000).

Almost surely, 220332313302302 is an apocalyptic number.

20332313302302 is an abundant number, since it is smaller than the sum of its proper divisors (24850902697698).

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

20332313302302 is a wasteful number, since it uses less digits than its factorization.

20332313302302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479597 (or 2479591 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 20332313302302 its reverse (20320331323302), we get a palindrome (40652644625604).

It can be divided in two parts, 203323 and 13302302, that added together give a square (13505625 = 36752).

The spelling of 20332313302302 in words is "twenty trillion, three hundred thirty-two billion, three hundred thirteen million, three hundred two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 162499 324998 487497 974994 1462491 2317087 2924982 4387473 4634174 6951261 8774946 13902522 20853783 41707566 62561349 125122698 376524320413 753048640826 1129572961239 2259145922478 3388718883717 6777437767434 10166156651151 20332313302302