Search a number
-
+
132353101441145 = 51361293113926121
BaseRepresentation
bin11110000101111111011011…
…100110001010100001111001
3122100121211111012111212112102
4132011333123212022201321
5114321433122432104040
61145254101520153145
736610124144014334
oct3605773346124171
9570554435455472
10132353101441145
11391986a9363a62
1212a16b01a687b5
1358b0ac80c8b40
142497cd237161b
151047c1ba0a515
hex785fdb98a879

132353101441145 has 32 divisors (see below), whose sum is σ = 174438209552544. Its totient is φ = 95807309875200.

The previous prime is 132353101441111. The next prime is 132353101441153. The reversal of 132353101441145 is 541144101353231.

It can be written as a sum of positive squares in 16 ways, for example, as 14988574194064 + 117364527247081 = 3871508^2 + 10833491^2 .

It is not a de Polignac number, because 132353101441145 - 212 = 132353101437049 is a prime.

It is a super-2 number, since 2×1323531014411452 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132353101441099 and 132353101441108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55801316 + ... + 58124805.

It is an arithmetic number, because the mean of its divisors is an integer number (5451194048517).

Almost surely, 2132353101441145 is an apocalyptic number.

It is an amenable number.

132353101441145 is a deficient number, since it is larger than the sum of its proper divisors (42085108111399).

132353101441145 is a wasteful number, since it uses less digits than its factorization.

132353101441145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113926493.

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 132353101441145 its reverse (541144101353231), we get a palindrome (673497202794376).

The spelling of 132353101441145 in words is "one hundred thirty-two trillion, three hundred fifty-three billion, one hundred one million, four hundred forty-one thousand, one hundred forty-five".

Divisors: 1 5 13 61 65 293 305 793 1465 3809 3965 17873 19045 89365 232349 1161745 113926121 569630605 1481039573 6949493381 7405197865 33380353453 34747466905 90343413953 166901767265 433944594889 451717069765 2036201560633 2169722974445 10181007803165 26470620288229 132353101441145