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13313023020 = 22325119769317
BaseRepresentation
bin11000110011000010…
…01001110000101100
31021100210210122022200
430121201021300230
5204231113214040
610041012141500
7650623554123
oct143141116054
937323718280
1013313023020
115711944270
1226b6607890
1313421ac31b
1490416caba
1552db84630
hex319849c2c

13313023020 has 144 divisors (see below), whose sum is σ = 44508810528. Its totient is φ = 3194081280.

The previous prime is 13313023013. The next prime is 13313023027. The reversal of 13313023020 is 2032031331.

13313023020 is a `hidden beast` number, since 1 + 331 + 30 + 2 + 302 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13313023013) and next prime (13313023027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13313022984 and 13313023002.

It is not an unprimeable number, because it can be changed into a prime (13313023027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157402 + ... + 226718.

It is an arithmetic number, because the mean of its divisors is an integer number (309088962).

Almost surely, 213313023020 is an apocalyptic number.

13313023020 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 13313023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22254405264).

13313023020 is an abundant number, since it is smaller than the sum of its proper divisors (31195787508).

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

13313023020 is a wasteful number, since it uses less digits than its factorization.

13313023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69440 (or 69435 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13313023020 its reverse (2032031331), we get a palindrome (15345054351).

The spelling of 13313023020 in words is "thirteen billion, three hundred thirteen million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 97 99 110 132 165 180 194 198 220 291 330 388 396 485 495 582 660 873 970 990 1067 1164 1455 1746 1940 1980 2134 2910 3201 3492 4268 4365 5335 5820 6402 8730 9603 10670 12804 16005 17460 19206 21340 32010 38412 48015 64020 69317 96030 138634 192060 207951 277268 346585 415902 623853 693170 762487 831804 1039755 1247706 1386340 1524974 2079510 2287461 2495412 3049948 3119265 3812435 4159020 4574922 6238530 6723749 6862383 7624870 9149844 11437305 12477060 13447498 13724766 15249740 20171247 22874610 26894996 27449532 33618745 34311915 40342494 45749220 60513741 67237490 68623830 73961239 80684988 100856235 121027482 134474980 137247660 147922478 201712470 221883717 242054964 295844956 302568705 369806195 403424940 443767434 605137410 665651151 739612390 887534868 1109418585 1210274820 1331302302 1479224780 2218837170 2662604604 3328255755 4437674340 6656511510 13313023020