Search a number
-
+
3233112003100 = 2252738322875273
BaseRepresentation
bin101111000011000100011…
…111100001001000011100
3102110002020010122000000201
4233003010133201020130
5410432403133044400
610513134322433244
7452404346406220
oct57030437411034
912402203560021
103233112003100
1110371784909a1
12442722802824
131a5b5bb82705
14b26aa862780
1559179b0c06a
hex2f0c47e121c

3233112003100 has 144 divisors (see below), whose sum is σ = 8044093145088. Its totient is φ = 1104908290560.

The previous prime is 3233112003067. The next prime is 3233112003239. The reversal of 3233112003100 is 13002113323.

It is a super-2 number, since 2×32331120031002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613142064 + ... + 613147336.

It is an arithmetic number, because the mean of its divisors is an integer number (55861757952).

Almost surely, 23233112003100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233112003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022046572544).

3233112003100 is an abundant number, since it is smaller than the sum of its proper divisors (4810981141988).

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

3233112003100 is a wasteful number, since it uses less digits than its factorization.

3233112003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3233112003100 its reverse (13002113323), we get a palindrome (3246114116423).

The spelling of 3233112003100 in words is "three trillion, two hundred thirty-three billion, one hundred twelve million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 383 700 766 1532 1915 2287 2681 3830 4574 5273 5362 7660 9148 9575 10546 10724 11435 13405 16009 19150 21092 22870 26365 26810 32018 36911 38300 45740 52730 53620 57175 64036 67025 73822 80045 105460 114350 131825 134050 147644 160090 184555 228700 263650 268100 320180 369110 400225 527300 738220 800450 875921 922775 1600900 1751842 1845550 2019559 3503684 3691100 4039118 4379605 6131447 8078236 8759210 10097795 12059351 12262894 14136913 17518420 20195590 21898025 24118702 24525788 28273826 30657235 40391180 43796050 48237404 50488975 56547652 60296755 61314470 70684565 84415457 87592100 100977950 120593510 122628940 141369130 153286175 168830914 201955900 241187020 282738260 301483775 306572350 337661828 353422825 422077285 602967550 613144700 706845650 844154570 1205935100 1413691300 1688309140 2110386425 4220772850 4618731433 8441545700 9237462866 18474925732 23093657165 32331120031 46187314330 64662240062 92374628660 115468285825 129324480124 161655600155 230936571650 323311200310 461873143300 646622400620 808278000775 1616556001550 3233112003100