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132202123033321 = 11210149932166557
BaseRepresentation
bin11110000011110010110100…
…100101001111101011101001
3122100002101210021000002110001
4132003302310211033223221
5114311444421444031241
61145100452241023001
736563200564512205
oct3603626445175351
9570071707002401
10132202123033321
113913a672a4a600
12129b17a7624a61
13589c7b6c2c553
14249088ca93b05
151043d320b2431
hex783cb494fae9

132202123033321 has 24 divisors (see below), whose sum is σ = 146781279985032. Its totient is φ = 118969923072000.

The previous prime is 132202123033217. The next prime is 132202123033339. The reversal of 132202123033321 is 123330321202231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73953722133225 + 58248400900096 = 8599635^2 + 7632064^2 .

It is not a de Polignac number, because 132202123033321 - 213 = 132202123025129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132202123033321.

It is not an unprimeable number, because it can be changed into a prime (132202123033391) 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, 59936175 + ... + 62102731.

It is an arithmetic number, because the mean of its divisors is an integer number (6115886666043).

Almost surely, 2132202123033321 is an apocalyptic number.

132202123033321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132202123033321 is a deficient number, since it is larger than the sum of its proper divisors (14579156951711).

132202123033321 is a wasteful number, since it uses less digits than its factorization.

132202123033321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171673 (or 2171662 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 132202123033321 its reverse (123330321202231), we get a palindrome (255532444235552).

It can be divided in two parts, 1322021 and 23033321, that added together give a palindrome (24355342).

The spelling of 132202123033321 in words is "one hundred thirty-two trillion, two hundred two billion, one hundred twenty-three million, thirty-three thousand, three hundred twenty-one".

Divisors: 1 11 101 121 1111 4993 12221 54923 504293 604153 2166557 5547223 23832127 61019453 218822257 262153397 2407044827 10817619101 26477493097 118993810111 1092579529201 1308931911221 12018374821211 132202123033321