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13102031302020 = 22325162744738207
BaseRepresentation
bin1011111010101000110111…
…1010111110110110000100
31201101112122002101201001100
42332222031322332312010
53204130430003131040
643510553505300100
72521406356352253
oct276521572766604
951345562351040
1013102031302020
1141a15a41120a1
121577317934630
137406932819cb
143341dab6c79a
1517ac31db8b30
hexbea8debed84

13102031302020 has 72 divisors (see below), whose sum is σ = 39767256232704. Its totient is φ = 3491727501888.

The previous prime is 13102031302001. The next prime is 13102031302057. The reversal of 13102031302020 is 2020313020131.

13102031302020 is a `hidden beast` number, since 1 + 310 + 2 + 0 + 31 + 302 + 0 + 20 = 666.

It is a super-2 number, since 2×131020313020202 (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 = 13102031301984 and 13102031302002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22076244 + ... + 22661963.

It is an arithmetic number, because the mean of its divisors is an integer number (552323003232).

Almost surely, 213102031302020 is an apocalyptic number.

13102031302020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102031302020 is an abundant number, since it is smaller than the sum of its proper divisors (26665224930684).

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

13102031302020 is a wasteful number, since it uses less digits than its factorization.

13102031302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44739849 (or 44739844 counting only the distinct ones).

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

Adding to 13102031302020 its reverse (2020313020131), we get a palindrome (15122344322151).

The spelling of 13102031302020 in words is "thirteen trillion, one hundred two billion, thirty-one million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1627 3254 4881 6508 8135 9762 14643 16270 19524 24405 29286 32540 48810 58572 73215 97620 146430 292860 44738207 89476414 134214621 178952828 223691035 268429242 402643863 447382070 536858484 671073105 805287726 894764140 1342146210 1610575452 2013219315 2684292420 4026438630 8052877260 72789062789 145578125578 218367188367 291156251156 363945313945 436734376734 655101565101 727890627890 873468753468 1091835941835 1310203130202 1455781255780 2183671883670 2620406260404 3275507825505 4367343767340 6551015651010 13102031302020