Search a number
-
+
102021432320 = 210519926061
BaseRepresentation
bin101111100000011110…
…0111000010000000000
3100202100001022202002102
41133000330320100000
53132414441313240
6114511253205532
710241120603123
oct1370074702000
9322301282072
10102021432320
113a2a3491125
12179329308a8
13980b54c142
144d1b6d83ba
1529c1932815
hex17c0f38400

102021432320 has 44 divisors (see below), whose sum is σ = 244731893484. Its totient is φ = 40808570880.

The previous prime is 102021432319. The next prime is 102021432323. The reversal of 102021432320 is 23234120201.

It can be written as a sum of positive squares in 2 ways, for example, as 43851710464 + 58169721856 = 209408^2 + 241184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102021432292 and 102021432301.

It is not an unprimeable number, because it can be changed into a prime (102021432323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9957911 + ... + 9968150.

Almost surely, 2102021432320 is an apocalyptic number.

102021432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021432320 is an abundant number, since it is smaller than the sum of its proper divisors (142710461164).

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

102021432320 is an equidigital number, since it uses as much as digits as its factorization.

102021432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19926086 (or 19926068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102021432320 its reverse (23234120201), we get a palindrome (125255552521).

The spelling of 102021432320 in words is "one hundred two billion, twenty-one million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 19926061 39852122 79704244 99630305 159408488 199260610 318816976 398521220 637633952 797042440 1275267904 1594084880 2550535808 3188169760 5101071616 6376339520 10202143232 12752679040 20404286464 25505358080 51010716160 102021432320