Search a number
-
+
10332133100 = 2252598532053
BaseRepresentation
bin10011001111101011…
…11101011011101100
3222200001201202002022
421213311331123230
5132130011224400
64425125245312
7514016453012
oct114765753354
928601652068
1010332133100
114422246583
122004263838
13c88759133
147002dc8b2
15407117b85
hex267d7d6ec

10332133100 has 72 divisors (see below), whose sum is σ = 22838590320. Its totient is φ = 4056065280.

The previous prime is 10332133081. The next prime is 10332133109. The reversal of 10332133100 is 133123301.

It is a super-2 number, since 2×103321331002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10332133109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5031674 + ... + 5033726.

Almost surely, 210332133100 is an apocalyptic number.

10332133100 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 10332133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419295160).

10332133100 is an abundant number, since it is smaller than the sum of its proper divisors (12506457220).

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

10332133100 is a wasteful number, since it uses less digits than its factorization.

10332133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10332133100 its reverse (133123301), we get a palindrome (10465256401).

The spelling of 10332133100 in words is "ten billion, three hundred thirty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 853 1180 1475 1706 2053 2950 3412 4106 4265 5900 8212 8530 10265 17060 20530 21325 41060 42650 50327 51325 85300 100654 102650 121127 201308 205300 242254 251635 484508 503270 605635 1006540 1211270 1258175 1751209 2422540 2516350 3028175 3502418 5032700 6056350 7004836 8756045 12112700 17512090 35024180 43780225 87560450 103321331 175120900 206642662 413285324 516606655 1033213310 2066426620 2583033275 5166066550 10332133100