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10331134100 = 2252719240883
BaseRepresentation
bin10011001111100100…
…01001100010010100
3222122222211222201022
421213302021202110
5132124232242400
64425052020312
7514005122330
oct114762114224
928588758638
1010331134100
114421723a61
122003a61698
13c88499501
1470011c7c0
15406ebbb85
hex267c89894

10331134100 has 108 divisors (see below), whose sum is σ = 27041331744. Its totient is φ = 3355594560.

The previous prime is 10331134067. The next prime is 10331134111. The reversal of 10331134100 is 143113301.

It is a congruent number.

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, 232259 + ... + 273141.

Almost surely, 210331134100 is an apocalyptic number.

10331134100 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 10331134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520665872).

10331134100 is an abundant number, since it is smaller than the sum of its proper divisors (16710197644).

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

10331134100 is a wasteful number, since it uses less digits than its factorization.

10331134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40942 (or 40916 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10331134100 its reverse (143113301), we get a palindrome (10474247401).

The spelling of 10331134100 in words is "ten billion, three hundred thirty-one million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 361 380 475 532 665 700 722 950 1330 1444 1805 1900 2527 2660 3325 3610 5054 6650 7220 9025 10108 12635 13300 18050 25270 36100 40883 50540 63175 81766 126350 163532 204415 252700 286181 408830 572362 776777 817660 1022075 1144724 1430905 1553554 2044150 2861810 3107108 3883885 4088300 5437439 5723620 7154525 7767770 10874878 14309050 14758763 15535540 19419425 21749756 27187195 28618100 29517526 38838850 54374390 59035052 73793815 77677700 103311341 108748780 135935975 147587630 206622682 271871950 295175260 368969075 413245364 516556705 543743900 737938150 1033113410 1475876300 2066226820 2582783525 5165567050 10331134100