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123300220032 = 2733113243377
BaseRepresentation
bin111001011010101000…
…1000000110010000000
3102210021000010011022000
41302311101000302000
54010004324020112
6132350543344000
711623331402103
oct1626521006200
9383230104260
10123300220032
114832283a2a0
121ba90bb2000
13b81cb458a2
145d7977c73a
153319a9d7dc
hex1cb5440c80

123300220032 has 128 divisors (see below), whose sum is σ = 396989467200. Its totient is φ = 37363691520.

The previous prime is 123300220031. The next prime is 123300220037. The reversal of 123300220032 is 230022003321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1233002200322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123300219987 and 123300220014.

It is not an unprimeable number, because it can be changed into a prime (123300220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583673 + ... + 1659704.

Almost surely, 2123300220032 is an apocalyptic number.

123300220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123300220032 is an abundant number, since it is smaller than the sum of its proper divisors (273689247168).

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

123300220032 is a wasteful number, since it uses less digits than its factorization.

123300220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243411 (or 3243393 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 123300220032 its reverse (230022003321), we get a palindrome (353322223353).

The spelling of 123300220032 in words is "one hundred twenty-three billion, three hundred million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 3243377 6486754 9730131 12973508 19460262 25947016 29190393 35677147 38920524 51894032 58380786 71354294 77841048 87571179 103788064 107031441 116761572 142708588 155682096 175142358 207576128 214062882 233523144 285417176 311364192 321094323 350284716 415152256 428125764 467046288 570834352 622728384 642188646 700569432 856251528 934092576 963282969 1141668704 1245456768 1284377292 1401138864 1712503056 1868185152 1926565938 2283337408 2568754584 2802277728 3425006112 3736370304 3853131876 4566674816 5137509168 5604555456 6850012224 7706263752 10275018336 11209110912 13700024448 15412527504 20550036672 30825055008 41100073344 61650110016 123300220032