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12033423300 = 223521072291637
BaseRepresentation
bin10110011010011111…
…10111011111000100
31011001122000020111110
423031033313133010
5144121024021200
65310022005020
7604125260523
oct131517673704
934048006443
1012033423300
115115610038
1223b9b76770
13119a067a22
1482223c4ba
154a6673b50
hex2cd3f77c4

12033423300 has 144 divisors (see below), whose sum is σ = 35317114560. Its totient is φ = 3163107840.

The previous prime is 12033423287. The next prime is 12033423307. The reversal of 12033423300 is 332433021.

It is not an unprimeable number, because it can be changed into a prime (12033423307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7350082 + ... + 7351718.

It is an arithmetic number, because the mean of its divisors is an integer number (245257740).

Almost surely, 212033423300 is an apocalyptic number.

12033423300 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 12033423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658557280).

12033423300 is an abundant number, since it is smaller than the sum of its proper divisors (23283691260).

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

12033423300 is a wasteful number, since it uses less digits than its factorization.

12033423300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12033423300 its reverse (332433021), we get a palindrome (12365856321).

The spelling of 12033423300 in words is "twelve billion, thirty-three million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 229 300 321 428 458 535 642 687 916 1070 1145 1284 1374 1605 1637 2140 2290 2675 2748 3210 3274 3435 4580 4911 5350 5725 6420 6548 6870 8025 8185 9822 10700 11450 13740 16050 16370 17175 19644 22900 24503 24555 32100 32740 34350 40925 49006 49110 68700 73509 81850 98012 98220 122515 122775 147018 163700 175159 245030 245550 294036 350318 367545 374873 490060 491100 525477 612575 700636 735090 749746 875795 1050954 1124619 1225150 1470180 1499492 1751590 1837725 1874365 2101908 2249238 2450300 2627385 3503180 3675450 3748730 4378975 4498476 5254770 5623095 7350900 7497460 8757950 9371825 10509540 11246190 13136925 17515900 18743650 22492380 26273850 28115475 37487300 40111411 52547700 56230950 80222822 112461900 120334233 160445644 200557055 240668466 401114110 481336932 601671165 802228220 1002785275 1203342330 2005570550 2406684660 3008355825 4011141100 6016711650 12033423300