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132220121022231 = 3113101327851267
BaseRepresentation
bin11110000100000011100101…
…010110000111111100010111
3122100011010020120101122202220
4132010003211112013330113
5114312243301440202411
61145113030212233423
736564405600060114
oct3604034526077427
9570133216348686
10132220121022231
1139147269389000
12129b518b00b873
1358a13c4907628
1424916b911990b
1510445371beb06
hex7840e5587f17

132220121022231 has 32 divisors (see below), whose sum is σ = 195829496591616. Its totient is φ = 79340006372000.

The previous prime is 132220121022221. The next prime is 132220121022239.

132220121022231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132220121022231 - 26 = 132220121022167 is a prime.

It is a super-2 number, since 2×1322201210222312 (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 (132220121022239) 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, 163522341 + ... + 164328926.

It is an arithmetic number, because the mean of its divisors is an integer number (6119671768488).

Almost surely, 2132220121022231 is an apocalyptic number.

132220121022231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132220121022231 is a deficient number, since it is larger than the sum of its proper divisors (63609375569385).

132220121022231 is a wasteful number, since it uses less digits than its factorization.

132220121022231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327851404 (or 327851382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 132220121022231 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 1331 3333 3993 12221 36663 134431 403293 327851267 983553801 3606363937 10819091811 33112977967 39670003307 99338933901 119010009921 364242757637 436370036377 1092728272911 1309110109131 4006670334007 12020011002021 44073373674077 132220121022231