Search a number
-
+
130133221003100 = 225271944839218213
BaseRepresentation
bin11101100101101100000000…
…011010010100111101011100
3122001202121120220211102222202
4131211230000122110331130
5114024100314034044400
61140434213150231032
736260546346433430
oct3545540032247534
9561677526742882
10130133221003100
1138512209765697
12127188344b5478
13577c6828703c3
14241c6a535c9c0
15100a0e50a84d5
hex765b00694f5c

130133221003100 has 144 divisors (see below), whose sum is σ = 339725331187200. Its totient is φ = 42267699313920.

The previous prime is 130133221003073. The next prime is 130133221003127. The reversal of 130133221003100 is 1300122331031.

It is an interprime number because it is at equal distance from previous prime (130133221003073) and next prime (130133221003127).

It is a super-2 number, since 2×1301332210031002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596249594 + ... + 596467806.

It is an arithmetic number, because the mean of its divisors is an integer number (2359203688800).

Almost surely, 2130133221003100 is an apocalyptic number.

130133221003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130133221003100 is an abundant number, since it is smaller than the sum of its proper divisors (209592110184100).

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

130133221003100 is a wasteful number, since it uses less digits than its factorization.

130133221003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263092 (or 263085 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 130133221003100 its reverse (1300122331031), we get a palindrome (131433343334131).

The spelling of 130133221003100 in words is "one hundred thirty trillion, one hundred thirty-three billion, two hundred twenty-one million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 44839 89678 179356 218213 224195 313873 436426 448390 627746 851941 872852 896780 1091065 1120975 1255492 1527491 1569365 1703882 2182130 2241950 3054982 3138730 3407764 4146047 4259705 4364260 4483900 5455325 5963587 6109964 6277460 7637455 7846825 8292094 8519410 10910650 11927174 15274910 15693650 16584188 17038820 20730235 21298525 21821300 23854348 29022329 29817935 30549820 31387300 38187275 41460470 42597050 58044658 59635870 76374550 82920940 85194100 103651175 116089316 119271740 145111645 149089675 152749100 207302350 290223290 298179350 414604700 580446580 596358700 725558225 1451116450 2902232900 9784452707 19568905414 39137810828 48922263535 68491168949 97844527070 136982337898 185904601433 195689054140 244611317675 273964675796 342455844745 371809202866 489222635350 684911689490 743618405732 929523007165 978445270700 1301332210031 1369823378980 1712279223725 1859046014330 2602664420062 3424558447450 3718092028660 4647615035825 5205328840124 6506661050155 6849116894900 9295230071650 13013322100310 18590460143300 26026644200620 32533305250775 65066610501550 130133221003100