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102420423432 = 233617561801
BaseRepresentation
bin101111101100010111…
…0111010001100001000
3100210100212002121000000
41133120232322030020
53134224112022212
6115015025043000
710254034143405
oct1373056721410
9323325077000
10102420423432
113a488728048
1217a24486460
1398730c9462
144d586b92ac
1529e69971dc
hex17d8bba308

102420423432 has 56 divisors (see below), whose sum is σ = 287925743790. Its totient is φ = 34140139200.

The previous prime is 102420423421. The next prime is 102420423439. The reversal of 102420423432 is 234324024201.

102420423432 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 204 + 23 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58499161956 + 43921261476 = 241866^2 + 209574^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102420423396 and 102420423405.

It is not an unprimeable number, because it can be changed into a prime (102420423439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8775069 + ... + 8786732.

Almost surely, 2102420423432 is an apocalyptic number.

102420423432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102420423432 is an abundant number, since it is smaller than the sum of its proper divisors (185505320358).

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

102420423432 is an equidigital number, since it uses as much as digits as its factorization.

102420423432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561825 (or 17561806 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 102420423432 its reverse (234324024201), we get a palindrome (336744447633).

The spelling of 102420423432 in words is "one hundred two billion, four hundred twenty million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 17561801 35123602 52685403 70247204 105370806 140494408 158056209 210741612 316112418 421483224 474168627 632224836 948337254 1264449672 1422505881 1896674508 2845011762 3793349016 4267517643 5690023524 8535035286 11380047048 12802552929 17070070572 25605105858 34140141144 51210211716 102420423432