Search a number
-
+
10033331000 = 2353711130303
BaseRepresentation
bin10010101100000100…
…00111101100111000
3221220020111000122212
421112002013230320
5131022013043000
64335333034252
7503430622610
oct112602075470
927806430585
1010033331000
1142896100a0
121b40185988
13c3b88a664
146b275ba40
153dac93c35
hex256087b38

10033331000 has 128 divisors (see below), whose sum is σ = 29271490560. Its totient is φ = 3127248000.

The previous prime is 10033330981. The next prime is 10033331017. The reversal of 10033331000 is 13333001.

It is a super-2 number, since 2×100333310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11849 + ... + 142151.

It is an arithmetic number, because the mean of its divisors is an integer number (228683520).

Almost surely, 210033331000 is an apocalyptic number.

10033331000 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 10033331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635745280).

10033331000 is an abundant number, since it is smaller than the sum of its proper divisors (19238159560).

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

10033331000 is a wasteful number, since it uses less digits than its factorization.

10033331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130342 (or 130328 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 10033331000 its reverse (13333001), we get a palindrome (10046664001).

The spelling of 10033331000 in words is "ten billion, thirty-three million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 130303 260606 521212 651515 912121 1042424 1303030 1433333 1824242 2606060 2866666 3257575 3648484 4560605 5212120 5733332 6515150 7166665 7296968 9121210 10033331 11466664 13030300 14333330 16287875 18242420 20066662 22803025 26060600 28666660 32575750 35833325 36484840 40133324 45606050 50166655 57333320 65151500 71666650 80266648 91212100 100333310 114015125 130303000 143333300 179166625 182424200 200666620 228030250 250833275 286666600 358333250 401333240 456060500 501666550 716666500 912121000 1003333100 1254166375 1433333000 2006666200 2508332750 5016665500 10033331000