Search a number
-
+
10132141650080 = 25573867477881
BaseRepresentation
bin1001001101110001001010…
…1101000011000010100000
31022212121211101001121001112
42103130102231003002200
52312001111230300310
633314350331122452
72064010626005402
oct223342255030240
938777741047045
1010132141650080
1132570208a959a
1211778158a3428
135865c2941808
14270580c06b72
15128860ce9705
hex93712b430a0

10132141650080 has 48 divisors (see below), whose sum is σ = 24265091315304. Its totient is φ = 3997338071040.

The previous prime is 10132141650079. The next prime is 10132141650091. The reversal of 10132141650080 is 8005614123101.

It can be written as a sum of positive squares in 4 ways, for example, as 8722973227024 + 1409168423056 = 2953468^2 + 1187084^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 433727261 + ... + 433750620.

Almost surely, 210132141650080 is an apocalyptic number.

10132141650080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132141650080 is an abundant number, since it is smaller than the sum of its proper divisors (14132949665224).

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

10132141650080 is an equidigital number, since it uses as much as digits as its factorization.

10132141650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867477969 (or 867477961 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 10132141650080 its reverse (8005614123101), we get a palindrome (18137755773181).

The spelling of 10132141650080 in words is "ten trillion, one hundred thirty-two billion, one hundred forty-one million, six hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 867477881 1734955762 3469911524 4337389405 6939823048 8674778810 13879646096 17349557620 27759292192 34699115240 63325885313 69398230480 126651770626 138796460960 253303541252 316629426565 506607082504 633258853130 1013214165008 1266517706260 2026428330016 2533035412520 5066070825040 10132141650080