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132133111220 = 2251129103201073
BaseRepresentation
bin111101100001110111…
…1110100010110110100
3110122001120202112010002
41323003233310112310
54131102034024340
6140411235050432
712355244625335
oct1730357642664
9418046675102
10132133111220
1151045773170
1221737140a18
13c5c9ab6816
1465768d428c
15368526b715
hex1ec3bf45b4

132133111220 has 96 divisors (see below), whose sum is σ = 316184843520. Its totient is φ = 45940930560.

The previous prime is 132133111213. The next prime is 132133111223. The reversal of 132133111220 is 22111331231.

It is a happy number.

It is a super-3 number, since 3×1321331112203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132133111192 and 132133111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133111223) 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, 556604 + ... + 757676.

It is an arithmetic number, because the mean of its divisors is an integer number (3293592120).

Almost surely, 2132133111220 is an apocalyptic number.

132133111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132133111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158092421760).

132133111220 is an abundant number, since it is smaller than the sum of its proper divisors (184051732300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132133111220 is a wasteful number, since it uses less digits than its factorization.

132133111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201225 (or 201223 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132133111220 its reverse (22111331231), we get a palindrome (154244442451).

The spelling of 132133111220 in words is "one hundred thirty-two billion, one hundred thirty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 103 110 116 145 206 220 290 319 412 515 580 638 1030 1133 1276 1595 2060 2266 2987 3190 4532 5665 5974 6380 11330 11948 14935 22660 29870 32857 59740 65714 131428 164285 201073 328570 402146 657140 804292 1005365 2010730 2211803 4021460 4423606 5831117 8847212 11059015 11662234 20710519 22118030 23324468 29155585 41421038 44236060 58311170 64142287 82842076 103552595 116622340 128284574 207105190 227815709 256569148 320711435 414210380 455631418 600605051 641422870 911262836 1139078545 1201210102 1282845740 2278157090 2402420204 3003025255 4556314180 6006050510 6606655561 12012101020 13213311122 26426622244 33033277805 66066555610 132133111220