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1213113320120 = 2351319887138427
BaseRepresentation
bin10001101001110011001…
…100000100001010111000
311021222020221201210102102
4101221303030010022320
5124333424002220440
62325144020322532
7153434036041022
oct21516314041270
94258227653372
101213113320120
11428529930639
12177139243448
138a51c2b5020
1442a01d51012
1521851073b15
hex11a733042b8

1213113320120 has 128 divisors (see below), whose sum is σ = 3097686412800. Its totient is φ = 423862626816.

The previous prime is 1213113320117. The next prime is 1213113320143. The reversal of 1213113320120 is 210233113121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1213113320092 and 1213113320101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8694347 + ... + 8832773.

It is an arithmetic number, because the mean of its divisors is an integer number (24200675100).

Almost surely, 21213113320120 is an apocalyptic number.

1213113320120 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 1213113320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548843206400).

1213113320120 is an abundant number, since it is smaller than the sum of its proper divisors (1884573092680).

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

1213113320120 is a wasteful number, since it uses less digits than its factorization.

1213113320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139357 (or 139353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1213113320120 its reverse (210233113121), we get a palindrome (1423346433241).

The spelling of 1213113320120 in words is "one trillion, two hundred thirteen billion, one hundred thirteen million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 887 988 1235 1774 1976 2470 3548 4435 4940 7096 8870 9880 11531 16853 17740 23062 33706 35480 46124 57655 67412 84265 92248 115310 134824 138427 168530 219089 230620 276854 337060 438178 461240 553708 674120 692135 876356 1095445 1107416 1384270 1752712 1799551 2190890 2630113 2768540 3599102 4381780 5260226 5537080 7198204 8763560 8997755 10520452 13150565 14396408 17995510 21040904 26301130 34191469 35991020 52602260 68382938 71982040 105204520 122784749 136765876 170957345 245569498 273531752 341914690 491138996 613923745 683829380 982277992 1227847490 1367658760 1596201737 2332910231 2455694980 3192403474 4665820462 4911389960 6384806948 7981008685 9331640924 11664551155 12769613896 15962017370 18663281848 23329102310 30327833003 31924034740 46658204620 60655666006 63848069480 93316409240 121311332012 151639165015 242622664024 303278330030 606556660060 1213113320120