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1201201020 = 2232531613529
BaseRepresentation
bin100011110011000…
…1101111101111100
310002201021100000200
41013212031331330
54430001413040
6315105523500
741524016535
oct10746157574
93081240020
101201201020
11567057118
12296343590
13161b25046
14b576368c
15706c6630
hex4798df7c

1201201020 has 144 divisors (see below), whose sum is σ = 3823921920. Its totient is φ = 304819200.

The previous prime is 1201201009. The next prime is 1201201021. The reversal of 1201201020 is 201021021.

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 = 1201200993 and 1201201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201201021) 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 47 ways as a sum of consecutive naturals, for example, 338616 + ... + 342144.

Almost surely, 21201201020 is an apocalyptic number.

1201201020 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 1201201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911960960).

1201201020 is an abundant number, since it is smaller than the sum of its proper divisors (2622720900).

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

1201201020 is a wasteful number, since it uses less digits than its factorization.

1201201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3631 counting only the distinct ones).

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

The square root of 1201201020 is about 34658.3470465630. The cubic root of 1201201020 is about 1063.0129715840.

Adding to 1201201020 its reverse (201021021), we get a palindrome (1402222041).

The spelling of 1201201020 in words is "one billion, two hundred one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 61 62 90 93 122 124 155 180 183 186 244 279 305 310 366 372 465 549 558 610 620 732 915 930 1098 1116 1220 1395 1830 1860 1891 2196 2745 2790 3529 3660 3782 5490 5580 5673 7058 7564 9455 10587 10980 11346 14116 17019 17645 18910 21174 22692 28365 31761 34038 35290 37820 42348 52935 56730 63522 68076 70580 85095 105870 109399 113460 127044 158805 170190 211740 215269 218798 317610 328197 340380 430538 437596 546995 635220 645807 656394 861076 984591 1076345 1093990 1291614 1312788 1640985 1937421 1969182 2152690 2187980 2583228 3229035 3281970 3874842 3938364 4305380 4922955 6458070 6563940 6673339 7749684 9687105 9845910 12916140 13346678 19374210 19691820 20020017 26693356 33366695 38748420 40040034 60060051 66733390 80080068 100100085 120120102 133466780 200200170 240240204 300300255 400400340 600600510 1201201020