Search a number
-
+
10130233222032 = 243711101151179717
BaseRepresentation
bin1001001101101010000011…
…1100111110001110010000
31022212102220101000101221020
42103122200330332032100
52311433204201101112
633313433114555440
72063612423434260
oct223324074761620
938772811011836
1010130233222032
113256231617330
121177382738b80
1358637a449a51
1427043d5877a0
1512879d4c448c
hex936a0f3e390

10130233222032 has 320 divisors, whose sum is σ = 33168685068288. Its totient is φ = 2587910400000.

The previous prime is 10130233222019. The next prime is 10130233222037. The reversal of 10130233222032 is 23022233203101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10130233221993 and 10130233222011.

It is not an unprimeable number, because it can be changed into a prime (10130233222037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56277838 + ... + 56457554.

Almost surely, 210130233222032 is an apocalyptic number.

10130233222032 is a gapful number since it is divisible by the number (12) 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 10130233222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584342534144).

10130233222032 is an abundant number, since it is smaller than the sum of its proper divisors (23038451846256).

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

10130233222032 is a wasteful number, since it uses less digits than its factorization.

10130233222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179998 (or 179992 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10130233222032 its reverse (23022233203101), we get a palindrome (33152466425133).

The spelling of 10130233222032 in words is "ten trillion, one hundred thirty billion, two hundred thirty-three million, two hundred twenty-two thousand, thirty-two".