Search a number
-
+
10032233230320 = 2435721953847151
BaseRepresentation
bin1001000111111100111110…
…1100101010111111110000
31022112001221120202000021120
42101333033230222333300
52303332003201332240
633200424435022240
72053543043313600
oct221771754527760
938461846660246
1010032233230320
113218712134044
12116039273a980
1357a0600b8382
142697c3dc4c00
15125e64b4ead0
hex91fcfb2aff0

10032233230320 has 480 divisors, whose sum is σ = 38800103777280. Its totient is φ = 2131402291200.

The previous prime is 10032233230277. The next prime is 10032233230351. The reversal of 10032233230320 is 2303233223001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11418745 + ... + 12265895.

It is an arithmetic number, because the mean of its divisors is an integer number (80833549536).

Almost surely, 210032233230320 is an apocalyptic number.

10032233230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032233230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19400051888640).

10032233230320 is an abundant number, since it is smaller than the sum of its proper divisors (28767870546960).

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

10032233230320 is a wasteful number, since it uses less digits than its factorization.

10032233230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847253 (or 847240 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 10032233230320 its reverse (2303233223001), we get a palindrome (12335466453321).

The spelling of 10032233230320 in words is "ten trillion, thirty-two billion, two hundred thirty-three million, two hundred thirty thousand, three hundred twenty".