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20010300131322 = 234123520371181
BaseRepresentation
bin1001000110011000000101…
…10101001100011111111010
32121211222002012222101120000
410203030002311030133322
510110322043313200242
6110320334401413430
74133460614501154
oct443140265143772
977758065871500
1020010300131322
116415358836166
1222b216903a276
13b21c6a2169b7
144d270a1c9ad4
1524a7a927ba4c
hex123302d4c7fa

20010300131322 has 20 divisors (see below), whose sum is σ = 44837894739066. Its totient is φ = 6670100043720.

The previous prime is 20010300131267. The next prime is 20010300131363. The reversal of 20010300131322 is 22313100301002.

20010300131322 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 300 + 1 + 31 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18705270351681 + 1305029779641 = 4324959^2 + 1142379^2 .

It is a super-2 number, since 2×200103001313222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20010300131295 and 20010300131304.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61760185429 + ... + 61760185752.

Almost surely, 220010300131322 is an apocalyptic number.

20010300131322 is an abundant number, since it is smaller than the sum of its proper divisors (24827594607744).

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

20010300131322 is a wasteful number, since it uses less digits than its factorization.

20010300131322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123520371195 (or 123520371186 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20010300131322 its reverse (22313100301002), we get a palindrome (42323400432324).

The spelling of 20010300131322 in words is "twenty trillion, ten billion, three hundred million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 123520371181 247040742362 370561113543 741122227086 1111683340629 2223366681258 3335050021887 6670100043774 10005150065661 20010300131322