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1361303320 = 235134167953
BaseRepresentation
bin101000100100011…
…1101011100011000
310111212112101002111
41101020331130120
510241443201240
6343025242104
745506613226
oct12110753430
93455471074
101361303320
11639469373
1231ba93334
13189050230
14ccb1bb16
157e79e1ea
hex5123d718

1361303320 has 128 divisors (see below), whose sum is σ = 3433026240. Its totient is φ = 482549760.

The previous prime is 1361303309. The next prime is 1361303329. The reversal of 1361303320 is 233031631.

It is a junction number, because it is equal to n+sod(n) for n = 1361303291 and 1361303300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361303329) 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, 1427964 + ... + 1428916.

Almost surely, 21361303320 is an apocalyptic number.

1361303320 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 1361303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716513120).

1361303320 is an abundant number, since it is smaller than the sum of its proper divisors (2071722920).

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

1361303320 is a wasteful number, since it uses less digits than its factorization.

1361303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 1361303320 is about 36895.8442104257. The cubic root of 1361303320 is about 1108.2854573449.

Adding to 1361303320 its reverse (233031631), we get a palindrome (1594334951).

The spelling of 1361303320 in words is "one billion, three hundred sixty-one million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 67 82 104 130 134 164 205 260 268 328 335 410 520 533 536 670 820 871 953 1066 1340 1640 1742 1906 2132 2665 2680 2747 3484 3812 4264 4355 4765 5330 5494 6968 7624 8710 9530 10660 10988 12389 13735 17420 19060 21320 21976 24778 27470 34840 35711 38120 39073 49556 54940 61945 63851 71422 78146 99112 109880 123890 127702 142844 156292 178555 195365 247780 255404 285688 312584 319255 357110 390730 495560 507949 510808 638510 714220 781460 830063 1015898 1277020 1428440 1562920 1660126 2031796 2539745 2554040 2617891 3320252 4063592 4150315 5079490 5235782 6640504 8300630 10158980 10471564 13089455 16601260 20317960 20943128 26178910 33202520 34032583 52357820 68065166 104715640 136130332 170162915 272260664 340325830 680651660 1361303320