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120010120300 = 225271153148693
BaseRepresentation
bin110111111000100101…
…0010001110001101100
3102110202201012202221101
41233301022101301230
53431240042322200
6131044253212444
711445651122440
oct1576112216154
9373681182841
10120010120300
1146994647704
121b313191124
13b41731b905
145b4681c820
1531c5d0426a
hex1bf1291c6c

120010120300 has 72 divisors (see below), whose sum is σ = 297885232736. Its totient is φ = 41110364160.

The previous prime is 120010120289. The next prime is 120010120309. The reversal of 120010120300 is 3021010021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120010120309) by changing a digit.

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, 732754 + ... + 881446.

Almost surely, 2120010120300 is an apocalyptic number.

120010120300 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 120010120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148942616368).

120010120300 is an abundant number, since it is smaller than the sum of its proper divisors (177875112436).

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

120010120300 is a wasteful number, since it uses less digits than its factorization.

120010120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149867 (or 149860 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120010120300 its reverse (3021010021), we get a palindrome (123031130321).

The spelling of 120010120300 in words is "one hundred twenty billion, ten million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1153 2306 4612 5765 8071 11530 16142 23060 28825 32284 40355 57650 80710 115300 148693 161420 201775 297386 403550 594772 743465 807100 1040851 1486930 2081702 2973860 3717325 4163404 5204255 7434650 10408510 14869300 20817020 26021275 52042550 104085100 171443029 342886058 685772116 857215145 1200101203 1714430290 2400202406 3428860580 4286075725 4800404812 6000506015 8572151450 12001012030 17144302900 24002024060 30002530075 60005060150 120010120300