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132220112031 = 327471131512617
BaseRepresentation
bin111101100100011101…
…1101100110010011111
3110122021122110121210100
41323020323230302133
54131241322041111
6140424023512143
712360352260120
oct1731073546237
9418248417710
10132220112031
115108a896167
12217602b8653
13c611b285a7
1465842a0047
15368cc04756
hex1ec8eecc9f

132220112031 has 96 divisors (see below), whose sum is σ = 226460602368. Its totient is φ = 72779212800.

The previous prime is 132220112027. The next prime is 132220112041. The reversal of 132220112031 is 130211022231.

It is not a de Polignac number, because 132220112031 - 22 = 132220112027 is a prime.

It is a super-2 number, since 2×1322201120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132220111995 and 132220112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220112041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50522235 + ... + 50524851.

It is an arithmetic number, because the mean of its divisors is an integer number (2358964608).

Almost surely, 2132220112031 is an apocalyptic number.

132220112031 is a deficient number, since it is larger than the sum of its proper divisors (94240490337).

132220112031 is a wasteful number, since it uses less digits than its factorization.

132220112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132220112031 its reverse (130211022231), we get a palindrome (262431134262).

The spelling of 132220112031 in words is "one hundred thirty-two billion, two hundred twenty million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 21 47 63 113 141 151 329 339 423 453 791 987 1017 1057 1359 2373 2617 2961 3171 5311 7097 7119 7851 9513 15933 17063 18319 21291 23553 37177 47799 49679 51189 54957 63873 111531 119441 122999 149037 153567 164871 295721 334593 358323 368997 395167 447111 801961 860993 887163 1074969 1106991 1185501 2070047 2405883 2582979 2661489 2766169 3556503 5613727 6210141 7217649 7748937 8298507 13898887 16841181 18572849 18630423 24895521 41696661 44653871 50523543 55718547 97292209 125089983 130009943 133961613 167155641 291876627 312577097 390029829 401884839 875629881 937731291 1170089487 2098731937 2813193873 6296195811 14691123559 18888587433 44073370677 132220112031