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13100331202020 = 22325374147976017
BaseRepresentation
bin1011111010100010100010…
…0101100111010111100100
31201101101020121100200021200
42332220220211213113210
53204113434241431040
643510113054242500
72521316263632426
oct276505045472744
951341217320250
1013100331202020
1141a0901490877
121576b224b6430
13740481c9ba8a
143340b905c816
1517ab829e5630
hexbea289675e4

13100331202020 has 144 divisors (see below), whose sum is σ = 41807069701488. Its totient is φ = 3316102225920.

The previous prime is 13100331201989. The next prime is 13100331202027. The reversal of 13100331202020 is 2020213300131.

13100331202020 is a `hidden beast` number, since 1 + 310 + 0 + 3 + 312 + 0 + 20 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 390065200704 + 12710266001316 = 624552^2 + 3565146^2 .

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 = 13100331201984 and 13100331202002.

It is not an unprimeable number, because it can be changed into a prime (13100331202027) by changing a digit.

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, 23714949 + ... + 24261068.

It is an arithmetic number, because the mean of its divisors is an integer number (290326872927).

Almost surely, 213100331202020 is an apocalyptic number.

13100331202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100331202020 is an abundant number, since it is smaller than the sum of its proper divisors (28706738499468).

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

13100331202020 is a wasteful number, since it uses less digits than its factorization.

13100331202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47976110 (or 47976105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13100331202020 its reverse (2020213300131), we get a palindrome (15120544502151).

The spelling of 13100331202020 in words is "thirteen trillion, one hundred billion, three hundred thirty-one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 41 45 60 74 82 90 111 123 148 164 180 185 205 222 246 333 369 370 410 444 492 555 615 666 738 740 820 1110 1230 1332 1476 1517 1665 1845 2220 2460 3034 3330 3690 4551 6068 6660 7380 7585 9102 13653 15170 18204 22755 27306 30340 45510 54612 68265 91020 136530 273060 47976017 95952034 143928051 191904068 239880085 287856102 431784153 479760170 575712204 719640255 863568306 959520340 1439280510 1727136612 1775112629 1967016697 2158920765 2878561020 3550225258 3934033394 4317841530 5325337887 5901050091 7100450516 7868066788 8635683060 8875563145 9835083485 10650675774 11802100182 15976013661 17703150273 17751126290 19670166970 21301351548 23604200364 26626689435 29505250455 31952027322 35406300546 35502252580 39340333940 53253378870 59010500910 63904054644 70812601092 72779617789 79880068305 88515751365 106506757740 118021001820 145559235578 159760136610 177031502730 218338853367 291118471156 319520273220 354063005460 363898088945 436677706734 655016560101 727796177890 873355413468 1091694266835 1310033120202 1455592355780 2183388533670 2620066240404 3275082800505 4366777067340 6550165601010 13100331202020