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10331133100 = 2252231512197
BaseRepresentation
bin10011001111100100…
…01001010010101100
3222122222211221100021
421213302021102230
5132124232224400
64425052011524
7514005116401
oct114762112254
928588757307
1010331133100
114421723232
122003a60ba4
13c88498c12
1470011c2a8
15406ebb71a
hex267c894ac

10331133100 has 108 divisors (see below), whose sum is σ = 23668766352. Its totient is φ = 3906672000.

The previous prime is 10331133097. The next prime is 10331133149. The reversal of 10331133100 is 133113301.

It is a super-2 number, since 2×103311331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52442202 + ... + 52442398.

It is an arithmetic number, because the mean of its divisors is an integer number (219155244).

Almost surely, 210331133100 is an apocalyptic number.

10331133100 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 10331133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834383176).

10331133100 is an abundant number, since it is smaller than the sum of its proper divisors (13337633252).

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

10331133100 is a wasteful number, since it uses less digits than its factorization.

10331133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10331133100 its reverse (133113301), we get a palindrome (10464246401).

The spelling of 10331133100 in words is "ten billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 151 197 230 302 394 460 575 604 755 788 985 1150 1510 1970 2300 3020 3473 3775 3940 4531 4925 6946 7550 9062 9850 13892 15100 17365 18124 19700 22655 22801 29747 34730 45310 45602 59494 69460 86825 90620 91204 113275 114005 118988 148735 173650 226550 228010 297470 347300 453100 456020 524423 570025 594940 684181 743675 1048846 1140050 1368362 1487350 2097692 2280100 2622115 2736724 2974700 3420905 4491797 5244230 6841810 8983594 10488460 13110575 13683620 17104525 17967188 22458985 26221150 34209050 44917970 52442300 68418100 89835940 103311331 112294925 206622662 224589850 413245324 449179700 516556655 1033113310 2066226620 2582783275 5165566550 10331133100