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20280332350161 = 321321154712
BaseRepresentation
bin1001001110001111000100…
…00000010111001011010001
32122210210002020020101212100
410213013202000113023101
510124233110040201121
6111044353413151013
74162130353464252
oct447074200271321
978723066211770
1020280332350161
1165099279a4974
12233656a32b469
13b41572551400
145018052acb29
15252810a78026
hex1271e20172d1

20280332350161 has 27 divisors (see below), whose sum is σ = 31720794537627. Its totient is φ = 12480096442320.

The previous prime is 20280332350147. The next prime is 20280332350169. The reversal of 20280332350161 is 16105323308202.

The square root of 20280332350161 is 4503369.

It is a perfect power (a square), and thus also a powerful number.

20280332350161 is a `hidden beast` number, since 2 + 0 + 280 + 3 + 323 + 50 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3000049164225 + 17280283185936 = 1732065^2 + 4156956^2 .

It is not a de Polignac number, because 20280332350161 - 229 = 20279795479249 is a prime.

It is a super-2 number, since 2×202803323501612 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20280332350169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175573656 + ... + 175689126.

Almost surely, 220280332350161 is an apocalyptic number.

20280332350161 is the 4503369-th square number.

20280332350161 is the 2251685-th centered octagonal number.

It is an amenable number.

20280332350161 is a deficient number, since it is larger than the sum of its proper divisors (11440462187466).

20280332350161 is an frugal number, since it uses more digits than its factorization.

20280332350161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230974 (or 115487 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 20280332350161 by its sum of digits (36), we get a square (730091964605796 = 270202142).

Adding to 20280332350161 its reverse (16105323308202), we get a palindrome (36385655658363).

The spelling of 20280332350161 in words is "twenty trillion, two hundred eighty billion, three hundred thirty-two million, three hundred fifty thousand, one hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 115471 346413 1039239 1501123 4503369 13510107 19514599 58543797 175631391 13333551841 40000655523 120001966569 173336173933 520008521799 1560025565397 2253370261129 6760110783387 20280332350161