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1212101020 = 2251317674093
BaseRepresentation
bin100100000111111…
…0011000110011100
310010110210010000101
41020033303012130
54440244213040
6320135310444
742015455134
oct11017630634
93113703011
101212101020
11572221489
12299b1b424
13164170450
14b6d9dac4
157162b09a
hex483f319c

1212101020 has 96 divisors (see below), whose sum is σ = 2946500928. Its totient is φ = 414830592.

The previous prime is 1212101017. The next prime is 1212101021. The reversal of 1212101020 is 201012121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1212100988 and 1212101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294094 + ... + 298186.

It is an arithmetic number, because the mean of its divisors is an integer number (30692718).

Almost surely, 21212101020 is an apocalyptic number.

1212101020 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 1212101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473250464).

1212101020 is an abundant number, since it is smaller than the sum of its proper divisors (1734399908).

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

1212101020 is a wasteful number, since it uses less digits than its factorization.

1212101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1212101020 is about 34815.2412026687. The cubic root of 1212101020 is about 1066.2186436613.

Adding to 1212101020 its reverse (201012121), we get a palindrome (1413113141).

The spelling of 1212101020 in words is "one billion, two hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 67 68 85 130 134 170 221 260 268 335 340 442 670 871 884 1105 1139 1340 1742 2210 2278 3484 4093 4355 4420 4556 5695 8186 8710 11390 14807 16372 17420 20465 22780 29614 40930 53209 59228 69581 74035 81860 106418 139162 148070 212836 266045 274231 278324 296140 347905 532090 548462 695810 904553 1064180 1096924 1371155 1391620 1809106 2742310 3565003 3618212 4522765 4661927 5484620 7130006 9045530 9323854 14260012 17825015 18091060 18647708 23309635 35650030 46619270 60605051 71300060 93238540 121210102 242420204 303025255 606050510 1212101020