Search a number
-
+
20031133233000 = 2335341271617893
BaseRepresentation
bin1001000110111110111001…
…00101001010111101101000
32121220221212010010121110110
410203133130211022331220
510111142230101424000
6110334101531214320
74135126104106011
oct443373445127550
977827763117413
1020031133233000
11642317955486a
1222b6201ba73a0
13b23c0a3941b6
144d3724db6008
1524b0c820c850
hex1237dc94af68

20031133233000 has 128 divisors (see below), whose sum is σ = 62512317803520. Its totient is φ = 5340337913600.

The previous prime is 20031133232989. The next prime is 20031133233031. The reversal of 20031133233000 is 33233113002.

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, 11572054 + ... + 13189946.

It is an arithmetic number, because the mean of its divisors is an integer number (488377482840).

Almost surely, 220031133233000 is an apocalyptic number.

20031133233000 is a gapful number since it is divisible by the number (20) 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 20031133233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256158901760).

20031133233000 is an abundant number, since it is smaller than the sum of its proper divisors (42481184570520).

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

20031133233000 is a wasteful number, since it uses less digits than its factorization.

20031133233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622044 (or 1622030 counting only the distinct ones).

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

Adding to 20031133233000 its reverse (33233113002), we get a palindrome (20064366346002).

The spelling of 20031133233000 in words is "twenty trillion, thirty-one billion, one hundred thirty-three million, two hundred thirty-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 1500 3000 4127 8254 12381 16508 20635 24762 33016 41270 49524 61905 82540 99048 103175 123810 165080 206350 247620 309525 412700 495240 515875 619050 825400 1031750 1238100 1547625 1617893 2063500 2476200 3095250 3235786 4127000 4853679 6190500 6471572 8089465 9707358 12381000 12943144 16178930 19414716 24268395 32357860 38829432 40447325 48536790 64715720 80894650 97073580 121341975 161789300 194147160 202236625 242683950 323578600 404473250 485367900 606709875 808946500 970735800 1213419750 1617893000 2426839500 4853679000 6677044411 13354088822 20031133233 26708177644 33385222055 40062266466 53416355288 66770444110 80124532932 100155666165 133540888220 160249065864 166926110275 200311332330 267081776440 333852220550 400622664660 500778330825 667704441100 801245329320 834630551375 1001556661650 1335408882200 1669261102750 2003113323300 2503891654125 3338522205500 4006226646600 5007783308250 6677044411000 10015566616500 20031133233000