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20011222101013 = 11135326161100927
BaseRepresentation
bin1001000110011001110011…
…10010001110110000010101
32121212001110110211022012121
410203030321302032300111
510110330440324213023
6110321010054415541
74133522511221353
oct443147162166025
977761413738177
1020011222101013
116415791203690
1222b23859615b1
13b220862331b0
144d27968247d3
1524a810197d5d
hex123339c8ec15

20011222101013 has 32 divisors (see below), whose sum is σ = 23954419464192. Its totient is φ = 16474998758400.

The previous prime is 20011222101001. The next prime is 20011222101037. The reversal of 20011222101013 is 31010122211002.

It is not a de Polignac number, because 20011222101013 - 29 = 20011222100501 is a prime.

It is a super-3 number, since 3×200112221010133 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011222101043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198223756 + ... + 198324682.

It is an arithmetic number, because the mean of its divisors is an integer number (748575608256).

Almost surely, 220011222101013 is an apocalyptic number.

It is an amenable number.

20011222101013 is a deficient number, since it is larger than the sum of its proper divisors (3943197363179).

20011222101013 is a wasteful number, since it uses less digits than its factorization.

20011222101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127165.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20011222101013 its reverse (31010122211002), we get a palindrome (51021344312015).

The spelling of 20011222101013 in words is "twenty trillion, eleven billion, two hundred twenty-two million, one hundred one thousand, thirteen".

Divisors: 1 11 13 53 143 583 689 7579 26161 100927 287771 340093 1110197 1312051 1386533 3741023 5349131 14432561 15251863 18024929 58840441 69538703 198274219 764925733 2640351247 29043863717 34324566211 139938616091 377570228321 1539324777001 1819202009183 20011222101013