Search a number
-
+
35124131121 = 367216316001
BaseRepresentation
bin100000101101100011…
…111011010100110001
310100122212020201211020
4200231203323110301
51033413234143441
624045200010053
72352260121432
oct405543732461
9110585221736
1035124131121
1113994724642
126983000929
133409b66051
1419b2bbd489
15da88eee66
hex82d8fb531

35124131121 has 24 divisors (see below), whose sum is σ = 47836250784. Its totient is φ = 22923648000.

The previous prime is 35124131111. The next prime is 35124131123. The reversal of 35124131121 is 12113142153.

35124131121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35124131121 - 25 = 35124131089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35124131091 and 35124131100.

It is not an unprimeable number, because it can be changed into a prime (35124131123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187121 + ... + 2203121.

It is an arithmetic number, because the mean of its divisors is an integer number (1993177116).

Almost surely, 235124131121 is an apocalyptic number.

It is an amenable number.

35124131121 is a deficient number, since it is larger than the sum of its proper divisors (12712119663).

35124131121 is a wasteful number, since it uses less digits than its factorization.

35124131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16301 (or 16234 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

Adding to 35124131121 its reverse (12113142153), we get a palindrome (47237273274).

The spelling of 35124131121 in words is "thirty-five billion, one hundred twenty-four million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 67 163 201 489 4489 10921 13467 16001 32763 48003 731707 1072067 2195121 2608163 3216201 7824489 71828489 174746921 215485467 524240763 11708043707 35124131121