Search a number
-
+
102022101213 = 3233171671777
BaseRepresentation
bin101111100000011111…
…1011011100011011101
3100202100002120201122020
41133000333123203131
53132420124214323
6114511315410353
710241126360214
oct1370077334335
9322302521566
10102022101213
113a2a38a872a
1217932bb39b9
13980b724736
144d1b83007b
1529c1a15ae3
hex17c0fdb8dd

102022101213 has 32 divisors (see below), whose sum is σ = 148586545152. Its totient is φ = 62072102400.

The previous prime is 102022101179. The next prime is 102022101289. The reversal of 102022101213 is 312101220201.

It is not a de Polignac number, because 102022101213 - 212 = 102022097117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022101192 and 102022101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022101613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184020 + ... + 487757.

It is an arithmetic number, because the mean of its divisors is an integer number (4643329536).

Almost surely, 2102022101213 is an apocalyptic number.

It is an amenable number.

102022101213 is a deficient number, since it is larger than the sum of its proper divisors (46564443939).

102022101213 is a wasteful number, since it uses less digits than its factorization.

102022101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671905.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102022101213 its reverse (312101220201), we get a palindrome (414123321414).

The spelling of 102022101213 in words is "one hundred two billion, twenty-two million, one hundred one thousand, two hundred thirteen".

Divisors: 1 3 23 31 69 71 93 213 713 1633 2139 2201 4899 6603 50623 151869 671777 2015331 15450871 20825087 46352613 47696167 62475261 143088501 478977001 1097011841 1436931003 1478581177 3291035523 4435743531 34007367071 102022101213