Search a number
-
+
10333131040 = 255569113501
BaseRepresentation
bin10011001111110011…
…10001000100100000
3222200010121110000001
421213321301010200
5132130240143130
64425202505344
7514031110321
oct114771610440
928603543001
1010333131040
114422868321
122004665254
13c88a1842b
147004bc448
154072636ca
hex267e71120

10333131040 has 48 divisors (see below), whose sum is σ = 24455140920. Its totient is φ = 4125952000.

The previous prime is 10333130993. The next prime is 10333131043. The reversal of 10333131040 is 4013133301.

It can be written as a sum of positive squares in 4 ways, for example, as 7873367824 + 2459763216 = 88732^2 + 49596^2 .

It is a super-2 number, since 2×103331310402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10333130999 and 10333131017.

It is not an unprimeable number, because it can be changed into a prime (10333131043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34290 + ... + 147790.

Almost surely, 210333131040 is an apocalyptic number.

10333131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10333131040 is an abundant number, since it is smaller than the sum of its proper divisors (14122009880).

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

10333131040 is a wasteful number, since it uses less digits than its factorization.

10333131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114085 (or 114077 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10333131040 its reverse (4013133301), we get a palindrome (14346264341).

The spelling of 10333131040 in words is "ten billion, three hundred thirty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 569 1138 2276 2845 4552 5690 9104 11380 18208 22760 45520 91040 113501 227002 454004 567505 908008 1135010 1816016 2270020 3632032 4540040 9080080 18160160 64582069 129164138 258328276 322910345 516656552 645820690 1033313104 1291641380 2066626208 2583282760 5166565520 10333131040