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13103002020 = 2235232596997
BaseRepresentation
bin11000011001111111…
…11111000110100100
31020211011121110200010
430030333333012210
5203313332031040
610004110450220
7642463452033
oct141477770644
936734543603
1013103002020
115614337399
122658203970
13130a826a44
148c42dc71a
1551a4eae80
hex30cfff1a4

13103002020 has 144 divisors (see below), whose sum is σ = 39008531520. Its totient is φ = 3285097728.

The previous prime is 13103002007. The next prime is 13103002021. The reversal of 13103002020 is 2020030131.

It is a happy number.

It is a super-2 number, since 2×131030020202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13103001987 and 13103002005.

It is not an unprimeable number, because it can be changed into a prime (13103002021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869162 + ... + 1876158.

It is an arithmetic number, because the mean of its divisors is an integer number (270892580).

Almost surely, 213103002020 is an apocalyptic number.

13103002020 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 13103002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504265760).

13103002020 is an abundant number, since it is smaller than the sum of its proper divisors (25905529500).

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

13103002020 is a wasteful number, since it uses less digits than its factorization.

13103002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13103002020 its reverse (2020030131), we get a palindrome (15123032151).

The spelling of 13103002020 in words is "thirteen billion, one hundred three million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 230 236 276 295 345 354 460 529 590 690 708 885 1058 1180 1357 1380 1587 1770 2116 2645 2714 3174 3540 4071 5290 5428 6348 6785 6997 7935 8142 10580 13570 13994 15870 16284 20355 20991 27140 27988 31211 31740 34985 40710 41982 62422 69970 81420 83964 93633 104955 124844 139940 156055 160931 187266 209910 312110 321862 374532 412823 419820 468165 482793 624220 643724 804655 825646 936330 965586 1238469 1609310 1651292 1872660 1931172 2064115 2413965 2476938 3218620 3701413 4128230 4827930 4953876 6192345 7402826 8256460 9494929 9655860 11104239 12384690 14805652 18507065 18989858 22208478 24769380 28484787 37014130 37979716 44416956 47474645 55521195 56969574 74028260 94949290 111042390 113939148 142423935 189898580 218383367 222084780 284847870 436766734 569695740 655150101 873533468 1091916835 1310300202 2183833670 2620600404 3275750505 4367667340 6551501010 13103002020