Search a number
-
+
102132221233 = 779757243973
BaseRepresentation
bin101111100011110001…
…1100000010100110001
3100202121202210101220111
41133013203200110301
53133131322034413
6114530251541321
710243634361640
oct1370743402461
9322552711814
10102132221233
113a34aa81509
1217963a5a841
13982849c603
144d2c2d7357
1529cb518d3d
hex17c78e0531

102132221233 has 16 divisors (see below), whose sum is σ = 118356666880. Its totient is φ = 86319245376.

The previous prime is 102132221231. The next prime is 102132221239. The reversal of 102132221233 is 332122231201.

It is not a de Polignac number, because 102132221233 - 21 = 102132221231 is a prime.

It is a super-2 number, since 2×1021322212332 (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 (102132221231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296635 + ... + 540607.

It is an arithmetic number, because the mean of its divisors is an integer number (7397291680).

Almost surely, 2102132221233 is an apocalyptic number.

It is an amenable number.

102132221233 is a deficient number, since it is larger than the sum of its proper divisors (16224445647).

102132221233 is an equidigital number, since it uses as much as digits as its factorization.

102132221233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244816.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102132221233 its reverse (332122231201), we get a palindrome (434254452434).

The spelling of 102132221233 in words is "one hundred two billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 7 79 553 757 5299 59803 243973 418621 1707811 19273867 134917069 184687561 1292812927 14590317319 102132221233