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132221120100 = 22352440737067
BaseRepresentation
bin111101100100011111…
…1100010111001100100
3110122021201100211121020
41323020333202321210
54131242101320400
6140424101251140
712360363656106
oct1731077427144
9418251324536
10132221120100
1151090414583
1221760703ab0
13c6120bc394
146584483576
15368cd532a0
hex1ec8fe2e64

132221120100 has 36 divisors (see below), whose sum is σ = 382559775024. Its totient is φ = 35258965280.

The previous prime is 132221120089. The next prime is 132221120131. The reversal of 132221120100 is 1021122231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132221120100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220368234 + ... + 220368833.

Almost surely, 2132221120100 is an apocalyptic number.

132221120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132221120100 is an abundant number, since it is smaller than the sum of its proper divisors (250338654924).

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

132221120100 is a wasteful number, since it uses less digits than its factorization.

132221120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440737084 (or 440737077 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132221120100 its reverse (1021122231), we get a palindrome (133242242331).

The spelling of 132221120100 in words is "one hundred thirty-two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 440737067 881474134 1322211201 1762948268 2203685335 2644422402 4407370670 5288844804 6611056005 8814741340 11018426675 13222112010 22036853350 26444224020 33055280025 44073706700 66110560050 132221120100