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23301020104400 = 2452473733322831
BaseRepresentation
bin1010100110001001100010…
…00001101011011011010000
310001111120000011011111000102
411103010301001223123100
511023230442121320100
6121320201343111532
74623304666654553
oct523046101533320
9101446004144012
1023301020104400
1174739a84355a5
122743a885a25a8
13100037a09b4bc
145a7abd95869a
152a61a65dbcd5
hex15313106b6d0

23301020104400 has 120 divisors (see below), whose sum is σ = 57325072341504. Its totient is φ = 9097642713600.

The previous prime is 23301020104391. The next prime is 23301020104519. The reversal of 23301020104400 is 440102010332.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 5350985 + ... + 8673815.

Almost surely, 223301020104400 is an apocalyptic number.

23301020104400 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 23301020104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28662536170752).

23301020104400 is an abundant number, since it is smaller than the sum of its proper divisors (34024052237104).

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

23301020104400 is a wasteful number, since it uses less digits than its factorization.

23301020104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323269 (or 3323258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23301020104400 its reverse (440102010332), we get a palindrome (23741122114732).

The spelling of 23301020104400 in words is "twenty-three trillion, three hundred one billion, twenty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 373 376 400 470 746 752 940 1175 1492 1865 1880 2350 2984 3730 3760 4700 5968 7460 9325 9400 14920 17531 18650 18800 29840 35062 37300 70124 74600 87655 140248 149200 175310 280496 350620 438275 701240 876550 1402480 1753100 3322831 3506200 6645662 7012400 13291324 16614155 26582648 33228310 53165296 66456620 83070775 132913240 156173057 166141550 265826480 312346114 332283100 624692228 664566200 780865285 1239415963 1249384456 1329132400 1561730570 2478831926 2498768912 3123461140 3904326425 4957663852 6197079815 6246922280 7808652850 9915327704 12394159630 12493844560 15617305700 19830655408 24788319260 30985399075 31234611400 49576638520 58252550261 61970798150 62469222800 99153277040 116505100522 123941596300 233010201044 247883192600 291262751305 466020402088 495766385200 582525502610 932040804176 1165051005220 1456313756525 2330102010440 2912627513050 4660204020880 5825255026100 11650510052200 23301020104400