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13300103002020 = 22351571483952057
BaseRepresentation
bin1100000110001010101111…
…1010100011011110100100
31202002110220001020121020020
43001202223322203132210
53220402102332031040
644141552153235140
72541620644131342
oct301425372433644
952073801217206
1013300103002020
1142685a6458a2a
1215a9795702ab0
1375626ac3c063
1433da2aada992
15180e75ddecd0
hexc18abea37a4

13300103002020 has 96 divisors (see below), whose sum is σ = 37502798487168. Its totient is φ = 3521723692032.

The previous prime is 13300103002007. The next prime is 13300103002061. The reversal of 13300103002020 is 2020030100331.

13300103002020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133001030020202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13493832 + ... + 14445888.

It is an arithmetic number, because the mean of its divisors is an integer number (390654150908).

Almost surely, 213300103002020 is an apocalyptic number.

13300103002020 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 13300103002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751399243584).

13300103002020 is an abundant number, since it is smaller than the sum of its proper divisors (24202695485148).

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

13300103002020 is a wasteful number, since it uses less digits than its factorization.

13300103002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953709 (or 953707 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13300103002020 its reverse (2020030100331), we get a palindrome (15320133102351).

The spelling of 13300103002020 in words is "thirteen trillion, three hundred billion, one hundred three million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1483 1570 1884 2355 2966 3140 4449 4710 5932 7415 8898 9420 14830 17796 22245 29660 44490 88980 232831 465662 698493 931324 952057 1164155 1396986 1904114 2328310 2793972 2856171 3492465 3808228 4656620 4760285 5712342 6984930 9520570 11424684 13969860 14280855 19041140 28561710 57123420 149472949 298945898 448418847 597891796 747364745 896837694 1411900531 1494729490 1793675388 2242094235 2823801062 2989458980 4235701593 4484188470 5647602124 7059502655 8471403186 8968376940 14119005310 16942806372 21178507965 28238010620 42357015930 84714031860 221668383367 443336766734 665005150101 886673533468 1108341916835 1330010300202 2216683833670 2660020600404 3325025750505 4433367667340 6650051501010 13300103002020