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120301020 = 223257307311
BaseRepresentation
bin1110010101110…
…10010111011100
322101100220222100
413022322113130
5221244113040
615534245100
72660353560
oct712722734
9271326870
10120301020
11619a7a34
1234356790
131bc00c48
1411d976a0
15a864b30
hex72ba5dc

120301020 has 144 divisors (see below), whose sum is σ = 419747328. Its totient is φ = 27319680.

The previous prime is 120301003. The next prime is 120301021. The reversal of 120301020 is 20103021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 120300993 and 120301011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120301021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386665 + ... + 386975.

It is an arithmetic number, because the mean of its divisors is an integer number (2914912).

Almost surely, 2120301020 is an apocalyptic number.

120301020 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 120301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209873664).

120301020 is an abundant number, since it is smaller than the sum of its proper divisors (299446308).

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

120301020 is a wasteful number, since it uses less digits than its factorization.

120301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120301020 is about 10968.1821647892. The cubic root of 120301020 is about 493.6545033492.

Adding to 120301020 its reverse (20103021), we get a palindrome (140404041).

The spelling of 120301020 in words is "one hundred twenty million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 307 311 315 420 614 622 630 921 933 1228 1244 1260 1535 1555 1842 1866 2149 2177 2763 2799 3070 3110 3684 3732 4298 4354 4605 4665 5526 5598 6140 6220 6447 6531 8596 8708 9210 9330 10745 10885 11052 11196 12894 13062 13815 13995 18420 18660 19341 19593 21490 21770 25788 26124 27630 27990 32235 32655 38682 39186 42980 43540 55260 55980 64470 65310 77364 78372 95477 96705 97965 128940 130620 190954 193410 195930 286431 381908 386820 391860 477385 572862 668339 859293 954770 1145724 1336678 1432155 1718586 1909540 2005017 2673356 2864310 3341695 3437172 4010034 4296465 5728620 6015051 6683390 8020068 8592930 10025085 12030102 13366780 17185860 20050170 24060204 30075255 40100340 60150510 120301020