Search a number
-
+
132222323222231 = 11229181229909091
BaseRepresentation
bin11110000100000101101000…
…100110110110011011010111
3122100011022221001020000020212
4132010011220212312123113
5114312312304221102411
61145114032521120035
736564514300341224
oct3604055046663327
9570138831200225
10132222323222231
1139148199480500
12129b56a462901b
1358a1685c29458
1424918477aa94b
1510446156c368b
hex7841689b66d7

132222323222231 has 48 divisors (see below), whose sum is σ = 151837818568800. Its totient is φ = 114911885088000.

The previous prime is 132222323222221. The next prime is 132222323222273.

132222323222231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-132222323222231 is a prime.

It is a super-2 number, since 2×1322223232222312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132222323222221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144989996 + ... + 145899086.

It is an arithmetic number, because the mean of its divisors is an integer number (3163287886850).

Almost surely, 2132222323222231 is an apocalyptic number.

132222323222231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132222323222231 is a deficient number, since it is larger than the sum of its proper divisors (19615495346569).

132222323222231 is a wasteful number, since it uses less digits than its factorization.

132222323222231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909552 (or 909541 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 132222323222231 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 29 121 181 229 319 1991 2519 3509 5249 6641 21901 27709 41449 57739 73051 455939 635129 803561 909091 1202021 5015329 10000001 13222231 26363639 110000011 145444541 164545471 208181839 290000029 1810000181 2290000229 3190000319 4771818659 6037273331 19910001991 25190002519 37680912859 52490005249 66410006641 414490041449 577390057739 730510073051 1092746472911 4559390455939 12020211202021 132222323222231