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23320332033000 = 2335368711131341
BaseRepresentation
bin1010100110101101100000…
…00110110101101111101000
310001120101212000222002202020
411103112300012311233220
511024040020000024000
6121333113532504440
74624560365441442
oct523266006655750
9101511760862666
1023320332033000
117481108522372
12274777801b120
1310021370523a2
145a89d26cd492
152a6936c3eba0
hex1535b01b5be8

23320332033000 has 128 divisors (see below), whose sum is σ = 72770089616640. Its totient is φ = 6217844640000.

The previous prime is 23320332032981. The next prime is 23320332033017. The reversal of 23320332033000 is 33023302332.

It is a super-2 number, since 2×233203320330002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 20047330 + ... + 21178670.

It is an arithmetic number, because the mean of its divisors is an integer number (568516325130).

Almost surely, 223320332033000 is an apocalyptic number.

23320332033000 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 23320332033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36385044808320).

23320332033000 is an abundant number, since it is smaller than the sum of its proper divisors (49449757583640).

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

23320332033000 is a wasteful number, since it uses less digits than its factorization.

23320332033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138236 (or 1138222 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 23320332033000 its reverse (33023302332), we get a palindrome (23353355335332).

The spelling of 23320332033000 in words is "twenty-three trillion, three hundred twenty billion, three hundred thirty-two million, 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 6871 13742 20613 27484 34355 41226 54968 68710 82452 103065 137420 164904 171775 206130 274840 343550 412260 515325 687100 824520 858875 1030650 1131341 1374200 1717750 2061300 2262682 2576625 3394023 3435500 4122600 4525364 5153250 5656705 6788046 6871000 9050728 10306500 11313410 13576092 16970115 20613000 22626820 27152184 28283525 33940230 45253640 56567050 67880460 84850575 113134100 135760920 141417625 169701150 226268200 282835250 339402300 424252875 565670500 678804600 848505750 1131341000 1697011500 3394023000 7773444011 15546888022 23320332033 31093776044 38867220055 46640664066 62187552088 77734440110 93281328132 116601660165 155468880220 186562656264 194336100275 233203320330 310937760440 388672200550 466406640660 583008300825 777344401100 932813281320 971680501375 1166016601650 1554688802200 1943361002750 2332033203300 2915041504125 3886722005500 4664066406600 5830083008250 7773444011000 11660166016500 23320332033000