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120032200031004 = 223210731161007277
BaseRepresentation
bin11011010010101100101100…
…101001001111101100011100
3120201222222002101211002111100
4123102230230221033230130
5111213101421201443004
61103142010443153100
734166016546011442
oct3322545451175434
9521888071732440
10120032200031004
1135278408759088
1211567064b15790
1351c8cac534561
14218d837762b92
15dd24a64a5739
hex6d2b2ca4fb1c

120032200031004 has 36 divisors (see below), whose sum is σ = 306250379528184. Its totient is φ = 39636801255072.

The previous prime is 120032200030993. The next prime is 120032200031033. The reversal of 120032200031004 is 400130002230021.

120032200031004 is a `hidden beast` number, since 120 + 0 + 32 + 200 + 0 + 310 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1200322000310042 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15580499787 + ... + 15580507490.

It is an arithmetic number, because the mean of its divisors is an integer number (8506954986894).

Almost surely, 2120032200031004 is an apocalyptic number.

It is an amenable number.

120032200031004 is an abundant number, since it is smaller than the sum of its proper divisors (186218179497180).

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

120032200031004 is a wasteful number, since it uses less digits than its factorization.

120032200031004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31161007394 (or 31161007389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120032200031004 its reverse (400130002230021), we get a palindrome (520162202261025).

The spelling of 120032200031004 in words is "one hundred twenty trillion, thirty-two billion, two hundred million, thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 31161007277 62322014554 93483021831 124644029108 186966043662 280449065493 373932087324 560898130986 1121796261972 3334227778639 6668455557278 10002683335917 13336911114556 20005366671834 30008050007751 40010733343668 60016100015502 120032200031004