Search a number
-
+
100951717441 = 3177292
BaseRepresentation
bin101111000000100110…
…0001111011001000001
3100122120111110121010211
41132001030033121001
53123222114424231
6114213201354121
710202451303631
oct1360114173101
9318514417124
10100951717441
11398a4681543
1217694638941
13969aa43163
144c596006c1
15295ca7eeb1
hex178130f641

100951717441 has 3 divisors (see below), whose sum is σ = 100952035171. Its totient is φ = 100951399712.

The previous prime is 100951717409. The next prime is 100951717483. The reversal of 100951717441 is 144717159001.

The square root of 100951717441 is 317729.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 56515077441 + 44436640000 = 237729^2 + 210800^2 .

It is not a de Polignac number, because 100951717441 - 25 = 100951717409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100951717394 and 100951717403.

It is not an unprimeable number, because it can be changed into a prime (100951727441) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 158865 + ... + 476593.

Almost surely, 2100951717441 is an apocalyptic number.

100951717441 is the 317729-th square number.

100951717441 is the 158865-th centered octagonal number.

It is an amenable number.

100951717441 is a deficient number, since it is larger than the sum of its proper divisors (317730).

100951717441 is an frugal number, since it uses more digits than its factorization.

100951717441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635458 (or 317729 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 100951717441 in words is "one hundred billion, nine hundred fifty-one million, seven hundred seventeen thousand, four hundred forty-one".

Divisors: 1 317729 100951717441