Search a number
-
+
129700099321 = 13421312
BaseRepresentation
bin111100011001010111…
…0100111010011111001
3110101210000121201020021
41320302232213103321
54111111211134241
6135330003130441
712241042440232
oct1706256472371
9411700551207
10129700099321
1150007363331
1221178373a21
13c2cca10000
1463c5720089
1535918740d1
hex1e32ba74f9

129700099321 has 15 divisors (see below), whose sum is σ = 140574028713. Its totient is φ = 119666986920.

The previous prime is 129700099313. The next prime is 129700099339. The reversal of 129700099321 is 123990007921.

The square root of 129700099321 is 360139.

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

It can be written as a sum of positive squares in 2 ways, for example, as 64307380921 + 65392718400 = 253589^2 + 255720^2 .

It is not a de Polignac number, because 129700099321 - 23 = 129700099313 is a prime.

It is a super-2 number, since 2×1297000993212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129700099021) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 60862426 + ... + 60864556.

Almost surely, 2129700099321 is an apocalyptic number.

129700099321 is the 360139-th square number.

129700099321 is the 180070-th centered octagonal number.

It is an amenable number.

129700099321 is a deficient number, since it is larger than the sum of its proper divisors (10873929392).

129700099321 is an frugal number, since it uses more digits than its factorization.

129700099321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 129700099321 in words is "one hundred twenty-nine billion, seven hundred million, ninety-nine thousand, three hundred twenty-one".

Divisors: 1 13 169 2131 2197 27703 28561 360139 4541161 4681807 59035093 60863491 767456209 9976930717 129700099321