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132121121100 = 223523767116911
BaseRepresentation
bin111101100001100001…
…0000101000101001100
3110122000202012100202120
41323003002011011030
54131041001333400
6140410130052540
712355040666613
oct1730302050514
9418022170676
10132121121100
1151039a23881
122173311a150
13c5c7479187
14657509287a
15368419dca0
hex1ec308514c

132121121100 has 72 divisors (see below), whose sum is σ = 382375193088. Its totient is φ = 35222644800.

The previous prime is 132121121089. The next prime is 132121121147. The reversal of 132121121100 is 1121121231.

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 132121121100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071645 + ... + 1188555.

Almost surely, 2132121121100 is an apocalyptic number.

132121121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121121100 is an abundant number, since it is smaller than the sum of its proper divisors (250254071988).

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

132121121100 is a wasteful number, since it uses less digits than its factorization.

132121121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120695 (or 120688 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 132121121100 its reverse (1121121231), we get a palindrome (133242242331).

The spelling of 132121121100 in words is "one hundred thirty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3767 7534 11301 15068 18835 22602 37670 45204 56505 75340 94175 113010 116911 188350 226020 233822 282525 350733 376700 467644 565050 584555 701466 1130100 1169110 1402932 1753665 2338220 2922775 3507330 5845550 7014660 8768325 11691100 17536650 35073300 440403737 880807474 1321211211 1761614948 2202018685 2642422422 4404037370 5284844844 6606056055 8808074740 11010093425 13212112110 22020186850 26424224220 33030280275 44040373700 66060560550 132121121100