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20106542313 = 321113149104851
BaseRepresentation
bin10010101110011100…
…010111110011101001
31220220021000011211100
4102232130113303221
5312134233323223
613123052552013
71311154534614
oct225634276351
956807004740
1020106542313
118588689920
123a91782609
131b8579c220
14d8a4db17b
157ca2b4043
hex4ae717ce9

20106542313 has 48 divisors (see below), whose sum is σ = 34349515200. Its totient is φ = 11172816000.

The previous prime is 20106542279. The next prime is 20106542333. The reversal of 20106542313 is 31324560102.

20106542313 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 654 + 2 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 20106542313 - 26 = 20106542249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20106542333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139338 + ... + 244188.

It is an arithmetic number, because the mean of its divisors is an integer number (715614900).

Almost surely, 220106542313 is an apocalyptic number.

It is an amenable number.

20106542313 is a deficient number, since it is larger than the sum of its proper divisors (14242972887).

20106542313 is a wasteful number, since it uses less digits than its factorization.

20106542313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105030 (or 105027 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20106542313 in words is "twenty billion, one hundred six million, five hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 9 11 13 33 39 99 117 143 149 429 447 1287 1341 1639 1937 4917 5811 14751 17433 21307 63921 104851 191763 314553 943659 1153361 1363063 3460083 4089189 10380249 12267567 14993693 15622799 44981079 46868397 134943237 140605191 171850789 203096387 515552367 609289161 1546657101 1827867483 2234060257 6702180771 20106542313