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120200100 = 223521013967
BaseRepresentation
bin1110010101000…
…01101110100100
322101011210112120
413022201232210
5221232400400
615532145540
72656453416
oct712415644
9271153476
10120200100
1161939129
12343082b0
131bb97027
1411d6c9b6
15a844ca0
hex72a1ba4

120200100 has 72 divisors (see below), whose sum is σ = 351310848. Its totient is φ = 31728000.

The previous prime is 120200071. The next prime is 120200123. The reversal of 120200100 is 1002021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28317 + ... + 32283.

Almost surely, 2120200100 is an apocalyptic number.

120200100 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 120200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175655424).

120200100 is an abundant number, since it is smaller than the sum of its proper divisors (231110748).

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

120200100 is a wasteful number, since it uses less digits than its factorization.

120200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120200100 is about 10963.5806194874. The cubic root of 120200100 is about 493.5164231951.

Adding to 120200100 its reverse (1002021), we get a palindrome (121202121).

The spelling of 120200100 in words is "one hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 3967 5050 6060 7575 7934 10100 11901 15150 15868 19835 23802 30300 39670 47604 59505 79340 99175 119010 198350 238020 297525 396700 400667 595050 801334 1190100 1202001 1602668 2003335 2404002 4006670 4808004 6010005 8013340 10016675 12020010 20033350 24040020 30050025 40066700 60100050 120200100