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120140100 = 2232521311019
BaseRepresentation
bin1110010100100…
…11000101000100
322101001202020100
413022103011010
5221223440400
615531004100
72656113453
oct712230504
9271052210
10120140100
11618a8043
1234299630
131bb75922
1411d54b9a
15a832100
hex7293144

120140100 has 108 divisors (see below), whose sum is σ = 379819440. Its totient is φ = 31761600.

The previous prime is 120140099. The next prime is 120140117. The reversal of 120140100 is 1041021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117391 + ... + 118409.

Almost surely, 2120140100 is an apocalyptic number.

120140100 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 120140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189909720).

120140100 is an abundant number, since it is smaller than the sum of its proper divisors (259679340).

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

120140100 is a wasteful number, since it uses less digits than its factorization.

120140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120140100 is about 10960.8439456093. The cubic root of 120140100 is about 493.4342937191.

Adding to 120140100 its reverse (1041021), we get a palindrome (121181121).

The spelling of 120140100 in words is "one hundred twenty million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 393 450 524 655 786 900 1019 1179 1310 1572 1965 2038 2358 2620 3057 3275 3930 4076 4716 5095 5895 6114 6550 7860 9171 9825 10190 11790 12228 13100 15285 18342 19650 20380 23580 25475 29475 30570 36684 39300 45855 50950 58950 61140 76425 91710 101900 117900 133489 152850 183420 229275 266978 305700 400467 458550 533956 667445 800934 917100 1201401 1334890 1601868 2002335 2402802 2669780 3337225 4004670 4805604 6007005 6674450 8009340 10011675 12014010 13348900 20023350 24028020 30035025 40046700 60070050 120140100