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20010220100001 = 342103611174361
BaseRepresentation
bin1001000110010111111100…
…00011111001100110100001
32121211221212122101101020000
410203023332003321212201
510110321412321200001
6110320322422210213
74133455623314535
oct443137603714641
977757778341200
1020010220100001
11641531764347a
1222b2146283969
13b21c567752a1
144d26dd715bc5
1524a7a221da86
hex1232fe0f99a1

20010220100001 has 20 divisors (see below), whose sum is σ = 29891977824324. Its totient is φ = 13340071958400.

The previous prime is 20010220099931. The next prime is 20010220100009. The reversal of 20010220100001 is 10000102201002.

It can be written as a sum of positive squares in 2 ways, for example, as 5954649246225 + 14055570853776 = 2440215^2 + 3749076^2 .

It is not a de Polignac number, because 20010220100001 - 210 = 20010220098977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20010220100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16452061 + ... + 17626421.

Almost surely, 220010220100001 is an apocalyptic number.

It is an amenable number.

20010220100001 is a deficient number, since it is larger than the sum of its proper divisors (9881757724323).

20010220100001 is a wasteful number, since it uses less digits than its factorization.

20010220100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384734 (or 1384725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010220100001 its reverse (10000102201002), we get a palindrome (30010322301003).

The spelling of 20010220100001 in words is "twenty trillion, ten billion, two hundred twenty million, one hundred thousand, one".

Divisors: 1 3 9 27 81 210361 631083 1174361 1893249 3523083 5679747 10569249 17039241 31707747 95123241 247039754321 741119262963 2223357788889 6670073366667 20010220100001