Search a number
-
+
10033132323000 = 2335312772618933
BaseRepresentation
bin1001001000000000010101…
…0010011100000010111000
31022112011021020112122120110
42102000011102130002320
52303340323333314000
633201053553424320
72053604241423213
oct222000522340270
938464236478513
1010033132323000
1132190336a6746
1211605a386b0a0
1357a174454a87
1426986b58677a
15125eb8a4c850
hex9200549c0b8

10033132323000 has 128 divisors (see below), whose sum is σ = 31327898022720. Its totient is φ = 2673405785600.

The previous prime is 10033132322977. The next prime is 10033132323001. The reversal of 10033132323000 is 32323133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033132323001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2521534 + ... + 5140466.

Almost surely, 210033132323000 is an apocalyptic number.

10033132323000 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 10033132323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663949011360).

10033132323000 is an abundant number, since it is smaller than the sum of its proper divisors (21294765699720).

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

10033132323000 is a wasteful number, since it uses less digits than its factorization.

10033132323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620234 (or 2620220 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10033132323000 its reverse (32323133001), we get a palindrome (10065455456001).

The spelling of 10033132323000 in words is "ten trillion, thirty-three billion, one hundred thirty-two million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1277 1500 2554 3000 3831 5108 6385 7662 10216 12770 15324 19155 25540 30648 31925 38310 51080 63850 76620 95775 127700 153240 159625 191550 255400 319250 383100 478875 638500 766200 957750 1277000 1915500 2618933 3831000 5237866 7856799 10475732 13094665 15713598 20951464 26189330 31427196 39283995 52378660 62854392 65473325 78567990 104757320 130946650 157135980 196419975 261893300 314271960 327366625 392839950 523786600 654733250 785679900 982099875 1309466500 1571359800 1964199750 2618933000 3344377441 3928399500 6688754882 7856799000 10033132323 13377509764 16721887205 20066264646 26755019528 33443774410 40132529292 50165661615 66887548820 80265058584 83609436025 100331323230 133775097640 167218872050 200662646460 250828308075 334437744100 401325292920 418047180125 501656616150 668875488200 836094360250 1003313232300 1254141540375 1672188720500 2006626464600 2508283080750 3344377441000 5016566161500 10033132323000