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102223202432 = 271361432213
BaseRepresentation
bin101111100110011111…
…0100100100010000000
3100202212002222201122112
41133030332210202000
53133323114434212
6114543301554452
710246120612151
oct1371476444200
9322762881575
10102223202432
113a397372a8a
121798a415a28
1398412a6040
144d3a41b928
1529d44db422
hex17ccfa4880

102223202432 has 32 divisors (see below), whose sum is σ = 219313003980. Its totient is φ = 47179938816.

The previous prime is 102223202407. The next prime is 102223202441. The reversal of 102223202432 is 234202322201.

It can be written as a sum of positive squares in 2 ways, for example, as 97259154496 + 4964047936 = 311864^2 + 70456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 102223202398 and 102223202407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30714443 + ... + 30717770.

Almost surely, 2102223202432 is an apocalyptic number.

It is an amenable number.

102223202432 is an abundant number, since it is smaller than the sum of its proper divisors (117089801548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102223202432 is an equidigital number, since it uses as much as digits as its factorization.

102223202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61432240 (or 61432228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 102223202432 its reverse (234202322201), we get a palindrome (336425524633).

The spelling of 102223202432 in words is "one hundred two billion, two hundred twenty-three million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 61432213 122864426 245728852 491457704 798618769 982915408 1597237538 1965830816 3194475076 3931661632 6388950152 7863323264 12777900304 25555800608 51111601216 102223202432