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120202020 = 22325679967
BaseRepresentation
bin1110010101000…
…10001100100100
322101011220011200
413022202030210
5221232431040
615532202500
72656462131
oct712421444
9271156150
10120202020
116193a614
1234309430
131bb97b73
1411d6d588
15a845630
hex72a2324

120202020 has 72 divisors (see below), whose sum is σ = 370091904. Its totient is φ = 31572288.

The previous prime is 120202007. The next prime is 120202051. The reversal of 120202020 is 20202021.

It is a super-2 number, since 2×1202020202 = 28897051224160800, which contains 22 as substring.

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

120202020 is a modest number, since divided by 202020 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 120201993 and 120202011.

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 23 ways as a sum of consecutive naturals, for example, 7077 + ... + 17043.

Almost surely, 2120202020 is an apocalyptic number.

120202020 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 120202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185045952).

120202020 is an abundant number, since it is smaller than the sum of its proper divisors (249889884).

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

120202020 is a wasteful number, since it uses less digits than its factorization.

120202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120202020 is about 10963.6681817720. The cubic root of 120202020 is about 493.5190508870.

Adding to 120202020 its reverse (20202021), we get a palindrome (140404041).

Subtracting from 120202020 its reverse (20202021), we obtain a palindrome (99999999).

The spelling of 120202020 in words is "one hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 9967 12060 19934 29901 39868 49835 59802 89703 99670 119604 149505 179406 199340 299010 358812 448515 598020 667789 897030 1335578 1794060 2003367 2671156 3338945 4006734 6010101 6677890 8013468 10016835 12020202 13355780 20033670 24040404 30050505 40067340 60101010 120202020