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1213321020 = 2235373831427
BaseRepresentation
bin100100001010001…
…1100111100111100
310010120002002112120
41020110130330330
54441102233040
6320221402540
742032026032
oct11024347474
93116062476
101213321020
1157298504a
1229a409450
131644a9842
14b71da552
15717bc7d0
hex4851cf3c

1213321020 has 96 divisors (see below), whose sum is σ = 3500679168. Its totient is φ = 313765632.

The previous prime is 1213320967. The next prime is 1213321051. The reversal of 1213321020 is 201233121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849547 + ... + 850973.

It is an arithmetic number, because the mean of its divisors is an integer number (36465408).

Almost surely, 21213321020 is an apocalyptic number.

1213321020 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 1213321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750339584).

1213321020 is an abundant number, since it is smaller than the sum of its proper divisors (2287358148).

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

1213321020 is a wasteful number, since it uses less digits than its factorization.

1213321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1213321020 is about 34832.7578580853. The cubic root of 1213321020 is about 1066.5762460246.

Adding to 1213321020 its reverse (201233121), we get a palindrome (1414554141).

It can be divided in two parts, 12133 and 21020, that added together give a triangular number (33153 = T257).

The spelling of 1213321020 in words is "one billion, two hundred thirteen million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 383 444 555 740 766 1110 1149 1427 1532 1915 2220 2298 2854 3830 4281 4596 5708 5745 7135 7660 8562 11490 14171 14270 17124 21405 22980 28342 28540 42513 42810 52799 56684 70855 85026 85620 105598 141710 158397 170052 211196 212565 263995 283420 316794 425130 527990 546541 633588 791985 850260 1055980 1093082 1583970 1639623 2186164 2732705 3167940 3279246 5465410 6558492 8198115 10930820 16396230 20222017 32792460 40444034 60666051 80888068 101110085 121332102 202220170 242664204 303330255 404440340 606660510 1213321020