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132112211231 = 71113172456679
BaseRepresentation
bin111101100001010000…
…0000101110100011111
3110122000010102200201102
41323002200011310133
54131031211224411
6140405211103315
712354602160410
oct1730240056437
9418003380642
10132112211231
1151034998750
1221730141b3b
13c5c5679870
146573c13807
1536834ddd3b
hex1ec2805d1f

132112211231 has 48 divisors (see below), whose sum is σ = 188429821440. Its totient is φ = 89435819520.

The previous prime is 132112211213. The next prime is 132112211233.

132112211231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132112211231 - 222 = 132108016927 is a prime.

It is a super-2 number, since 2×1321122112312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112211233) 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, 60950 + ... + 517628.

It is an arithmetic number, because the mean of its divisors is an integer number (3925621280).

Almost surely, 2132112211231 is an apocalyptic number.

132112211231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132112211231 is a deficient number, since it is larger than the sum of its proper divisors (56317610209).

132112211231 is a wasteful number, since it uses less digits than its factorization.

132112211231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456744 (or 456727 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 132112 and 211231, that added together give a palindrome (343343).

The spelling of 132112211231 in words is "one hundred thirty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 289 1001 1309 1547 2023 2431 3179 3757 17017 22253 26299 41327 289289 456679 3196753 5023469 5936827 7763543 35164283 41557789 54344801 65305097 85398973 100926059 131980231 457135679 597792811 706482413 923861617 1110186649 1451782541 1715743003 7771306543 10162477787 12010201021 18873173033 132112211231