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120034043300 = 225213761314293
BaseRepresentation
bin110111111001010010…
…1100010010110100100
3102110211101020012010102
41233302211202112210
53431312203341200
6131050510043232
711446361351003
oct1576245422644
9373741205112
10120034043300
11469a70a7386
121b31b1a9518
13b41c276832
145b49a88c3a
1531c7e7c6d5
hex1bf29625a4

120034043300 has 72 divisors (see below), whose sum is σ = 262821548136. Its totient is φ = 47582069760.

The previous prime is 120034043293. The next prime is 120034043333. The reversal of 120034043300 is 3340430021.

It can be written as a sum of positive squares in 12 ways, for example, as 105697812544 + 14336230756 = 325112^2 + 119734^2 .

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

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, 8390954 + ... + 8405246.

Almost surely, 2120034043300 is an apocalyptic number.

120034043300 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 120034043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131410774068).

120034043300 is an abundant number, since it is smaller than the sum of its proper divisors (142787504836).

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

120034043300 is a wasteful number, since it uses less digits than its factorization.

120034043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15057 (or 15050 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 120034043300 its reverse (3340430021), we get a palindrome (123374473321).

The spelling of 120034043300 in words is "one hundred twenty billion, thirty-four million, forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 613 685 1226 1370 2452 2740 3065 3425 6130 6850 12260 13700 14293 15325 28586 30650 57172 61300 71465 83981 142930 167962 285860 335924 357325 419905 714650 839810 1429300 1679620 1958141 2099525 3916282 4199050 7832564 8398100 8761609 9790705 17523218 19581410 35046436 39162820 43808045 48953525 87616090 97907050 175232180 195814100 219040225 438080450 876160900 1200340433 2400680866 4801361732 6001702165 12003404330 24006808660 30008510825 60017021650 120034043300