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13011101220 = 22351318778887
BaseRepresentation
bin11000001111000010…
…11010011000100100
31020120202200102110210
430013201122120210
5203121320214340
65551025015420
7640266351465
oct140741323044
936522612423
1013011101220
115577477a17
122631484570
1312c478a880
148b6018d6c
155123e6180
hex30785a624

13011101220 has 96 divisors (see below), whose sum is σ = 39258793728. Its totient is φ = 3200666112.

The previous prime is 13011101189. The next prime is 13011101269. The reversal of 13011101220 is 2210111031.

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 = 13011101196 and 13011101205.

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, 1459617 + ... + 1468503.

It is an arithmetic number, because the mean of its divisors is an integer number (408945768).

Almost surely, 213011101220 is an apocalyptic number.

13011101220 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 13011101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629396864).

13011101220 is an abundant number, since it is smaller than the sum of its proper divisors (26247692508).

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

13011101220 is a wasteful number, since it uses less digits than its factorization.

13011101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10787 counting only the distinct ones).

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

Adding to 13011101220 its reverse (2210111031), we get a palindrome (15221212251).

The spelling of 13011101220 in words is "thirteen billion, eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1877 3754 5631 7508 8887 9385 11262 17774 18770 22524 24401 26661 28155 35548 37540 44435 48802 53322 56310 73203 88870 97604 106644 112620 115531 122005 133305 146406 177740 231062 244010 266610 292812 346593 366015 462124 488020 533220 577655 693186 732030 1155310 1386372 1464060 1732965 2310620 3465930 6931860 16680899 33361798 50042697 66723596 83404495 100085394 166808990 200170788 216851687 250213485 333617980 433703374 500426970 650555061 867406748 1000853940 1084258435 1301110122 2168516870 2602220244 3252775305 4337033740 6505550610 13011101220