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120023003103300 = 2232521131373864691
BaseRepresentation
bin11011010010100100001000…
…011101110000000001000100
3120201222002100110011202110100
4123102210020131300001010
5111212424102243301200
61103133450105124100
734165242622300233
oct3322441035600104
9521862313152410
10120023003103300
1135274519293190
1211565318a89630
1351c81750344bb
14218d204128b1a
15dd2118d79d00
hex6d2908770044

120023003103300 has 216 divisors, whose sum is σ = 410536863146592. Its totient is φ = 29087202816000.

The previous prime is 120023003103293. The next prime is 120023003103301. The reversal of 120023003103300 is 3301300320021.

120023003103300 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 300 + 31 + 0 + 330 + 0 = 666.

It is a super-2 number, since 2×1200230031033002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120023003103301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29123955 + ... + 32988645.

Almost surely, 2120023003103300 is an apocalyptic number.

120023003103300 is a gapful number since it is divisible by the number (10) 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 120023003103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205268431573296).

120023003103300 is an abundant number, since it is smaller than the sum of its proper divisors (290513860043292).

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

120023003103300 is a wasteful number, since it uses less digits than its factorization.

120023003103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867859 (or 3867849 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120023003103300 its reverse (3301300320021), we get a palindrome (123324303423321).

The spelling of 120023003103300 in words is "one hundred twenty trillion, twenty-three billion, three million, one hundred three thousand, three hundred".