Search a number
-
+
123113010130020 = 223252983093283837
BaseRepresentation
bin11011111111100001111011…
…001111000110110001100100
3121010220111012100112201212200
4123333201323033012301210
5112114040421043130040
61113501200331414500
734634423105535051
oct3377417317066144
9533814170481780
10123113010130020
1136255a3073a259
1211984161bb4430
135390678c76aa1
1422589b6c2c028
15e376ba387630
hex6ff87b3c6c64

123113010130020 has 144 divisors (see below), whose sum is σ = 386326145565360. Its totient is φ = 31697569225728.

The previous prime is 123113010130013. The next prime is 123113010130039. The reversal of 123113010130020 is 20031010311321.

123113010130020 is a `hidden beast` number, since 1 + 2 + 311 + 30 + 1 + 0 + 1 + 300 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11732173151076 + 111380836978944 = 3425226^2 + 10553712^2 .

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 = 123113010129975 and 123113010130002.

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, 433603542 + ... + 433887378.

It is an arithmetic number, because the mean of its divisors is an integer number (2682820455315).

Almost surely, 2123113010130020 is an apocalyptic number.

123113010130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123113010130020 is an abundant number, since it is smaller than the sum of its proper divisors (263213135435340).

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

123113010130020 is a wasteful number, since it uses less digits than its factorization.

123113010130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366974 (or 366969 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123113010130020 its reverse (20031010311321), we get a palindrome (143144020441341).

The spelling of 123113010130020 in words is "one hundred twenty-three trillion, one hundred thirteen billion, ten million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 83093 166186 249279 283837 332372 415465 498558 567674 747837 830930 851511 997116 1135348 1246395 1419185 1495674 1661860 1703022 2409697 2492790 2554533 2838370 2991348 3406044 3739185 4257555 4819394 4985580 5109066 5676740 7229091 7478370 8231273 8515110 9638788 10218132 12048485 12772665 14458182 14956740 16462546 17030220 21687273 24096970 24693819 25545330 28916364 32925092 36145455 41156365 43374546 48193940 49387638 51090660 72290910 74081457 82312730 86749092 98775276 108436365 123469095 144581820 148162914 164625460 216872730 246938190 296325828 370407285 433745460 493876380 740814570 1481629140 23584867841 47169735682 70754603523 94339471364 117924339205 141509207046 212263810569 235848678410 283018414092 353773017615 424527621138 471697356820 683961167389 707546035230 849055242276 1061319052845 1367922334778 1415092070460 2051883502167 2122638105690 2735844669556 3419805836945 4103767004334 4245276211380 6155650506501 6839611673890 8207534008668 10259417510835 12311301013002 13679223347780 20518835021670 24622602026004 30778252532505 41037670043340 61556505065010 123113010130020