Search a number
-
+
131142132033402 = 23722101321227891
BaseRepresentation
bin11101110100010111101000…
…001100011110011101111010
3122012100001202122221010000010
4131310113220030132131322
5114142113041300032102
61142525510323122350
736423464166621600
oct3564275014363572
9565301678833003
10131142132033402
113887107a734536
12128602828133b6
13582385b038229
14245545505b870
151026493cc4d6c
hex7745e831e77a

131142132033402 has 48 divisors (see below), whose sum is σ = 305120718981792. Its totient is φ = 37467395673120.

The previous prime is 131142132033371. The next prime is 131142132033463. The reversal of 131142132033402 is 204330231241131.

It is a self number, because there is not a number n which added to its sum of digits gives 131142132033402.

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, 4436124 + ... + 16791767.

It is an arithmetic number, because the mean of its divisors is an integer number (6356681645454).

Almost surely, 2131142132033402 is an apocalyptic number.

131142132033402 is an abundant number, since it is smaller than the sum of its proper divisors (173978586948390).

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

131142132033402 is a wasteful number, since it uses less digits than its factorization.

131142132033402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21248923 (or 21248916 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131142132033402 its reverse (204330231241131), we get a palindrome (335472363274533).

The spelling of 131142132033402 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty-two million, thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 21013 42026 63039 126078 147091 294182 441273 882546 1029637 2059274 3088911 6177822 21227891 42455782 63683673 127367346 148595237 297190474 445785711 891571422 1040166659 2080333318 3120499977 6240999954 446061673583 892123347166 1338185020749 2676370041498 3122431715081 6244863430162 9367295145243 18734590290486 21857022005567 43714044011134 65571066016701 131142132033402