Search a number
-
+
835292290131 = 32139782788997
BaseRepresentation
bin11000010011110110100…
…11001101110001010011
32221212000221210211121100
430021323103031301103
5102141134311241011
61435421124355443
7114230215214115
oct14117323156123
92855027724540
10835292290131
112a22777a3722
12115a75845b83
13609c98cbaa0
142c5dd5d93b5
1516adb85bd56
hexc27b4cdc53

835292290131 has 48 divisors (see below), whose sum is σ = 1314340975584. Its totient is φ = 508105930752.

The previous prime is 835292290127. The next prime is 835292290141. The reversal of 835292290131 is 131092292538.

835292290131 is a `hidden beast` number, since 8 + 3 + 529 + 2 + 2 + 90 + 1 + 31 = 666.

It is not a de Polignac number, because 835292290131 - 22 = 835292290127 is a prime.

It is a super-2 number, since 2×8352922901312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (835292290141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9341125 + ... + 9430121.

It is an arithmetic number, because the mean of its divisors is an integer number (27382103658).

Almost surely, 2835292290131 is an apocalyptic number.

835292290131 is a deficient number, since it is larger than the sum of its proper divisors (479048685453).

835292290131 is a wasteful number, since it uses less digits than its factorization.

835292290131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89940 (or 89937 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 835292290131 in words is "eight hundred thirty-five billion, two hundred ninety-two million, two hundred ninety thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 97 117 291 827 873 1261 2481 3783 7443 10751 11349 32253 80219 88997 96759 240657 266991 721971 800973 1042847 1156961 3128541 3470883 8632709 9385623 10412649 25898127 73600519 77694381 112225217 220801557 336675651 662404671 956806747 1010026953 2870420241 7139250343 8611260723 21417751029 64253253087 92810254459 278430763377 835292290131