Search a number
-
+
10120132891357 is a prime number
BaseRepresentation
bin1001001101000100011011…
…1011010001001011011101
31022211110211110110102222221
42103101012323101023131
52311302013010010412
633305042545505341
72063104220152126
oct223210673211335
938743743412887
1010120132891357
113251a19205405
121175424042251
1358542aa31418
1426db61d8904d
151283ab8e8b07
hex93446ed12dd

10120132891357 has 2 divisors, whose sum is σ = 10120132891358. Its totient is φ = 10120132891356.

The previous prime is 10120132891339. The next prime is 10120132891369. The reversal of 10120132891357 is 75319823102101.

10120132891357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10030940471556 + 89192419801 = 3167166^2 + 298651^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120132891357 - 243 = 1324039869149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120132891157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060066445678 + 5060066445679.

It is an arithmetic number, because the mean of its divisors is an integer number (5060066445679).

Almost surely, 210120132891357 is an apocalyptic number.

It is an amenable number.

10120132891357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120132891357 is an equidigital number, since it uses as much as digits as its factorization.

10120132891357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 43.

Adding to 10120132891357 its reverse (75319823102101), we get a palindrome (85439955993458).

The spelling of 10120132891357 in words is "ten trillion, one hundred twenty billion, one hundred thirty-two million, eight hundred ninety-one thousand, three hundred fifty-seven".