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13110341020020 = 2232582987859141
BaseRepresentation
bin1011111011000111110100…
…1110000010100101110100
31201102100002012121010011200
42332301331032002211310
53204244434300120040
643514450231332500
72522122320655326
oct276617516024564
951370065533150
1013110341020020
1141a50787a1232
121578a56821130
137413b8a15cca
14334788619616
1517b06b692630
hexbec7d382974

13110341020020 has 72 divisors (see below), whose sum is σ = 39816005971560. Its totient is φ = 3491873660160.

The previous prime is 13110341020009. The next prime is 13110341020027. The reversal of 13110341020020 is 2002014301131.

13110341020020 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 3 + 410 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1173785895396 + 11936555124624 = 1083414^2 + 3454932^2 .

It is a super-2 number, since 2×131103410200202 (a number of 27 digits) contains 22 as substring.

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 = 13110341019975 and 13110341020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110341020027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43780351 + ... + 44078790.

Almost surely, 213110341020020 is an apocalyptic number.

13110341020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110341020020 is an abundant number, since it is smaller than the sum of its proper divisors (26705664951540).

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

13110341020020 is a wasteful number, since it uses less digits than its factorization.

13110341020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87859985 (or 87859980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13110341020020 its reverse (2002014301131), we get a palindrome (15112355321151).

The spelling of 13110341020020 in words is "thirteen trillion, one hundred ten billion, three hundred forty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 829 1658 2487 3316 4145 4974 7461 8290 9948 12435 14922 16580 24870 29844 37305 49740 74610 149220 87859141 175718282 263577423 351436564 439295705 527154846 790732269 878591410 1054309692 1317887115 1581464538 1757182820 2635774230 3162929076 3953661345 5271548460 7907322690 15814645380 72835227889 145670455778 218505683667 291340911556 364176139445 437011367334 655517051001 728352278890 874022734668 1092528418335 1311034102002 1456704557780 2185056836670 2622068204004 3277585255005 4370113673340 6555170510010 13110341020020