Search a number
-
+
323212230111100 = 2252111753167615117
BaseRepresentation
bin100100101111101011011011…
…0001010011010111101111100
31120101101210021001002001220011
41021133112312022122331330
5314331002121402023400
63103225352041433004
7125036212240114501
oct11137266612327574
91511353231061804
10323212230111100
1193a9259a854970
1230300841a9b764
1310b46a2326a135
1459b57ac0694a8
152757759e348ba
hex125f5b629af7c

323212230111100 has 72 divisors (see below), whose sum is σ = 765567971795088. Its totient is φ = 117464673292800.

The previous prime is 323212230111073. The next prime is 323212230111107. The reversal of 323212230111100 is 1111032212323.

It is a super-2 number, since 2×3232122301111002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323212230111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81879259 + ... + 85735858.

It is an arithmetic number, because the mean of its divisors is an integer number (10632888497154).

Almost surely, 2323212230111100 is an apocalyptic number.

It is an amenable number.

323212230111100 is an abundant number, since it is smaller than the sum of its proper divisors (442355741683988).

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

323212230111100 is a wasteful number, since it uses less digits than its factorization.

323212230111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167616895 (or 167616888 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 323212230111100 its reverse (1111032212323), we get a palindrome (324323262323423).

The spelling of 323212230111100 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1753 3506 7012 8765 17530 19283 35060 38566 43825 77132 87650 96415 175300 192830 385660 482075 964150 1928300 167615117 335230234 670460468 838075585 1676151170 1843766287 3352302340 3687532574 4190377925 7375065148 8380755850 9218831435 16761511700 18437662870 36875325740 46094157175 92188314350 184376628700 293829300101 587658600202 1175317200404 1469146500505 2938293001010 3232122301111 5876586002020 6464244602222 7345732502525 12928489204444 14691465005050 16160611505555 29382930010100 32321223011110 64642446022220 80803057527775 161606115055550 323212230111100