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1211063420 = 2257219193337
BaseRepresentation
bin100100000101111…
…0101110001111100
310010101211101200202
41020023311301330
54440013012140
6320101143032
742003604100
oct11013656174
93111741622
101211063420
11571682966
122996baa78
13163b99098
14b6bad900
15714c3915
hex482f5c7c

1211063420 has 144 divisors (see below), whose sum is σ = 3139587360. Its totient is φ = 390168576.

The previous prime is 1211063419. The next prime is 1211063449. The reversal of 1211063420 is 243601121.

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 = 1211063392 and 1211063401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3593492 + ... + 3593828.

It is an arithmetic number, because the mean of its divisors is an integer number (21802690).

Almost surely, 21211063420 is an apocalyptic number.

1211063420 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 1211063420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569793680).

1211063420 is an abundant number, since it is smaller than the sum of its proper divisors (1928523940).

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

1211063420 is a wasteful number, since it uses less digits than its factorization.

1211063420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1211063420 is about 34800.3364926260. The cubic root of 1211063420 is about 1065.9143169107.

Adding to 1211063420 its reverse (243601121), we get a palindrome (1454664541).

The spelling of 1211063420 in words is "one billion, two hundred eleven million, sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 193 196 245 266 337 380 386 490 532 665 674 772 931 965 980 1330 1348 1351 1685 1862 1930 2359 2660 2702 3370 3667 3724 3860 4655 4718 5404 6403 6740 6755 7334 9310 9436 9457 11795 12806 13510 14668 16513 18335 18620 18914 23590 25612 25669 27020 32015 33026 36670 37828 44821 47180 47285 51338 64030 65041 66052 73340 82565 89642 94570 102676 128060 128345 130082 165130 179284 179683 189140 224105 256690 260164 313747 325205 330260 359366 448210 455287 513380 627494 650410 718732 896420 898415 910574 1235779 1254988 1300820 1568735 1796830 1821148 2276435 2471558 3137470 3187009 3593660 4552870 4943116 6178895 6274940 6374018 8650453 9105740 12357790 12748036 15935045 17300906 24715580 31870090 34601812 43252265 60553171 63740180 86504530 121106342 173009060 242212684 302765855 605531710 1211063420