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20132233333300 = 22521141505988237
BaseRepresentation
bin1001001001111011001101…
…00111011100101000110100
32122021121210221210211121201
410210331212213130220310
510114321303213131200
6110452341553222244
74145335336556014
oct444754647345064
978247727724551
1020132233333300
116462039963570
122311918261984
13b305cca8b15a
144d859619dc44
1524da43cecc6a
hex124f669dca34

20132233333300 has 144 divisors (see below), whose sum is σ = 48831092735040. Its totient is φ = 7140763008000.

The previous prime is 20132233333297. The next prime is 20132233333327. The reversal of 20132233333300 is 333333223102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228116782 + ... + 228205018.

It is an arithmetic number, because the mean of its divisors is an integer number (339104810660).

Almost surely, 220132233333300 is an apocalyptic number.

20132233333300 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 20132233333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24415546367520).

20132233333300 is an abundant number, since it is smaller than the sum of its proper divisors (28698859401740).

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

20132233333300 is a wasteful number, since it uses less digits than its factorization.

20132233333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93362 (or 93355 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 20132233333300 its reverse (333333223102), we get a palindrome (20465566556402).

The spelling of 20132233333300 in words is "twenty trillion, one hundred thirty-two billion, two hundred thirty-three million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 5059 9020 10118 11275 20236 22550 25295 45100 50590 55649 88237 101180 111298 126475 176474 207419 222596 252950 278245 352948 414838 441185 505900 556490 829676 882370 970607 1037095 1112980 1391225 1764740 1941214 2074190 2205925 2281609 2782450 3617717 3882428 4148380 4411850 4563218 4853035 5185475 5564900 7235434 8823700 9126436 9706070 10370950 11408045 14470868 18088585 19412140 20741900 22816090 24265175 36177170 39794887 45632180 48530350 57040225 72354340 79589774 90442925 97060700 114080450 159179548 180885850 198974435 228160900 361771700 397948870 446390983 795897740 892781966 994872175 1785563932 1989744350 2231954915 3979488700 4463909830 4910300813 8927819660 9820601626 11159774575 18302030303 19641203252 22319549150 24551504065 36604060606 44639098300 49103008130 73208121212 91510151515 98206016260 122757520325 183020303030 201322333333 245515040650 366040606060 402644666666 457550757575 491030081300 805289333332 915101515150 1006611666665 1830203030300 2013223333330 4026446666660 5033058333325 10066116666650 20132233333300