Search a number
-
+
201010120212121 = 114773101137384913
BaseRepresentation
bin101101101101000101010000…
…110011111011111010011001
3222100201101020220000112012121
4231231011100303323322121
5202321322211233241441
61551302435135141241
760224334110412253
oct5555052063737231
9870641226015177
10201010120212121
1159058a0559a410
121a665136674821
1388212331144cc
14378cd28162cd3
151838b0400bdd1
hexb6d150cfbe99

201010120212121 has 64 divisors (see below), whose sum is σ = 230938940353536. Its totient is φ = 173376681984000.

The previous prime is 201010120212119. The next prime is 201010120212157. The reversal of 201010120212121 is 121212021010102.

It is not a de Polignac number, because 201010120212121 - 21 = 201010120212119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201010120212095 and 201010120212104.

It is not an unprimeable number, because it can be changed into a prime (201010120212221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522029761 + ... + 522414673.

It is an arithmetic number, because the mean of its divisors is an integer number (3608420943024).

Almost surely, 2201010120212121 is an apocalyptic number.

It is an amenable number.

201010120212121 is a deficient number, since it is larger than the sum of its proper divisors (29928820141415).

201010120212121 is a wasteful number, since it uses less digits than its factorization.

201010120212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385282.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201010120212121 its reverse (121212021010102), we get a palindrome (322222141222223).

It can be divided in two parts, 2010101 and 20212121, that added together give a palindrome (22222222).

The spelling of 201010120212121 in words is "two hundred one trillion, ten billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 47 73 101 137 517 803 1111 1507 3431 4747 6439 7373 10001 13837 37741 52217 70829 81103 110011 152207 346531 384913 470047 650339 1010101 3811841 4234043 5170517 7153729 11111111 18090911 28098649 38876213 47474747 52733081 199000021 309085139 427638343 522222217 580063891 1320636503 1827182011 2478454807 2837963549 3849514913 5326041181 14527001533 20099002121 27263002877 31217599039 42344664043 58586452991 133384286803 180927200911 250323935507 388801006213 1467227154833 1990199210021 2753563290577 4276811068343 18273647292011 201010120212121