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132121133232032 = 2572572295044699
BaseRepresentation
bin11110000010100111011001…
…001101101010111110100000
3122022210122201221101220100002
4132002213121031222332200
5114304133040101411112
61144555335524315132
736554302563534440
oct3602473115527640
9568718657356302
10132121133232032
113910929235612a
1212999b64242aa8
135894c7aa1b6c9
14248a9a86a4120
151041b91c791c2
hex7829d936afa0

132121133232032 has 48 divisors (see below), whose sum is σ = 298429252430400. Its totient is φ = 56403018498048.

The previous prime is 132121133232019. The next prime is 132121133232041. The reversal of 132121133232032 is 230232331121231.

132121133232032 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132121133231986 and 132121133232004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1147464782 + ... + 1147579917.

It is an arithmetic number, because the mean of its divisors is an integer number (6217276092300).

Almost surely, 2132121133232032 is an apocalyptic number.

It is an amenable number.

132121133232032 is an abundant number, since it is smaller than the sum of its proper divisors (166308119198368).

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

132121133232032 is a wasteful number, since it uses less digits than its factorization.

132121133232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295044973 (or 2295044965 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 132121133232032 its reverse (230232331121231), we get a palindrome (362353464353263).

The spelling of 132121133232032 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, one hundred thirty-three million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 257 514 1028 1799 2056 3598 4112 7196 8224 14392 28784 57568 2295044699 4590089398 9180178796 16065312893 18360357592 32130625786 36720715184 64261251572 73441430368 128522503144 257045006288 514090012576 589826487643 1179652975286 2359305950572 4128785413501 4718611901144 8257570827002 9437223802288 16515141654004 18874447604576 33030283308008 66060566616016 132121133232032