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132121103232 = 2733127134091
BaseRepresentation
bin111101100001100001…
…0000000101110000000
3110122000202011110020210
41323003002000232000
54131041000300412
6140410125434120
712355040563536
oct1730302005600
9418022143223
10132121103232
1151039a11408
122173310b940
13c5c7470cc1
14657508a156
15368419883c
hex1ec3080b80

132121103232 has 128 divisors (see below), whose sum is σ = 362489656320. Its totient is φ = 42593587200.

The previous prime is 132121103189. The next prime is 132121103281. The reversal of 132121103232 is 232301121231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 132121103199 and 132121103208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32293507 + ... + 32297597.

It is an arithmetic number, because the mean of its divisors is an integer number (2831950440).

Almost surely, 2132121103232 is an apocalyptic number.

132121103232 is a gapful number since it is divisible by the number (12) 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 132121103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181244828160).

132121103232 is an abundant number, since it is smaller than the sum of its proper divisors (230368553088).

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

132121103232 is a wasteful number, since it uses less digits than its factorization.

132121103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132121103232 its reverse (232301121231), we get a palindrome (364422224463).

The spelling of 132121103232 in words is "one hundred thirty-two billion, one hundred twenty-one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2713 2976 3968 4091 5426 5952 8139 8182 10852 11904 12273 16278 16364 21704 24546 32556 32728 43408 49092 65112 65456 84103 86816 98184 126821 130224 130912 168206 173632 196368 252309 253642 260448 261824 336412 347264 380463 392736 504618 507284 520896 523648 672824 760926 785472 1009236 1014568 1041792 1345648 1521852 1570944 2018472 2029136 2691296 3043704 4036944 4058272 5382592 6087408 8073888 8116544 10765184 11098883 12174816 16147776 16233088 22197766 24349632 32295552 33296649 44395532 48699264 66593298 88791064 133186596 177582128 266373192 344065373 355164256 532746384 688130746 710328512 1032196119 1065492768 1376261492 1420657024 2064392238 2130985536 2752522984 4128784476 4261971072 5505045968 8257568952 11010091936 16515137904 22020183872 33030275808 44040367744 66060551616 132121103232