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132311102220 = 223251166823789
BaseRepresentation
bin111101100111001011…
…0110011001100001100
3110122111222200101212100
41323032112303030030
54131433120232340
6140441034035100
712362535545463
oct1731626631414
9418458611770
10132311102220
1151127193470
1221786878a90
13c62793613b
1465923c79da
153695bc9830
hex1ece5b330c

132311102220 has 72 divisors (see below), whose sum is σ = 437829472080. Its totient is φ = 32075418240.

The previous prime is 132311102197. The next prime is 132311102227. The reversal of 132311102220 is 22201113231.

132311102220 is a `hidden beast` number, since 1 + 32 + 311 + 102 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132311102193 and 132311102202.

It is not an unprimeable number, because it can be changed into a prime (132311102227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33409915 + ... + 33413874.

It is an arithmetic number, because the mean of its divisors is an integer number (6080964890).

Almost surely, 2132311102220 is an apocalyptic number.

132311102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132311102220 is an abundant number, since it is smaller than the sum of its proper divisors (305518369860).

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

132311102220 is a wasteful number, since it uses less digits than its factorization.

132311102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66823815 (or 66823810 counting only the distinct ones).

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

Adding to 132311102220 its reverse (22201113231), we get a palindrome (154512215451).

The spelling of 132311102220 in words is "one hundred thirty-two billion, three hundred eleven million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 66823789 133647578 200471367 267295156 334118945 400942734 601414101 668237890 735061679 801885468 1002356835 1202828202 1336475780 1470123358 2004713670 2205185037 2405656404 2940246716 3007070505 3675308395 4009427340 4410370074 6014141010 6615555111 7350616790 8820740148 11025925185 12028282020 13231110222 14701233580 22051850370 26462220444 33077775555 44103700740 66155551110 132311102220