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220403412102300 = 22352729116312172557
BaseRepresentation
bin110010000111010010101011…
…000101011110110010011100
31001220101100201202010200122020
4302013102223011132302130
5212342042141444233200
62100431532453020140
764265423005541520
oct6207225305366234
91056340652120566
10220403412102300
1164255620254739
12208777a8924650
1395c9c4ca8349b
143c5d821281d80
151a732ea166ea0
hexc874ab15ec9c

220403412102300 has 576 divisors, whose sum is σ = 755495315205120. Its totient is φ = 48540005498880.

The previous prime is 220403412102257. The next prime is 220403412102347. The reversal of 220403412102300 is 3201214304022.

It is a happy number.

220403412102300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86196092622 + ... + 86196095178.

It is an arithmetic number, because the mean of its divisors is an integer number (1311623811120).

Almost surely, 2220403412102300 is an apocalyptic number.

220403412102300 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 220403412102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377747657602560).

220403412102300 is an abundant number, since it is smaller than the sum of its proper divisors (535091903102820).

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

220403412102300 is a wasteful number, since it uses less digits than its factorization.

220403412102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 220403412102300 its reverse (3201214304022), we get a palindrome (223604626406322).

The spelling of 220403412102300 in words is "two hundred twenty trillion, four hundred three billion, four hundred twelve million, one hundred two thousand, three hundred".