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13442101020 = 22325383319483
BaseRepresentation
bin11001000010011011…
…00010111100011100
31021200210200111001100
430201031202330130
5210012134213040
610101502513100
7654051654615
oct144115427434
937623614040
1013442101020
1157787964a7
122731895790
131362b6423a
1491736cc0c
1553a17eb30
hex321362f1c

13442101020 has 72 divisors (see below), whose sum is σ = 40787104176. Its totient is φ = 3583441152.

The previous prime is 13442100941. The next prime is 13442101033. The reversal of 13442101020 is 2010124431.

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 = 13442100984 and 13442101002.

It is a congruent number.

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, 680199 + ... + 699681.

It is an arithmetic number, because the mean of its divisors is an integer number (566487558).

Almost surely, 213442101020 is an apocalyptic number.

13442101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442101020 is an abundant number, since it is smaller than the sum of its proper divisors (27345003156).

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

13442101020 is a wasteful number, since it uses less digits than its factorization.

13442101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23331 (or 23326 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13442101020 its reverse (2010124431), we get a palindrome (15452225451).

The spelling of 13442101020 in words is "thirteen billion, four hundred forty-two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3833 7666 11499 15332 19165 19483 22998 34497 38330 38966 45996 57495 58449 68994 76660 77932 97415 114990 116898 137988 172485 175347 194830 229980 233796 292245 344970 350694 389660 584490 689940 701388 876735 1168980 1753470 3506940 74678339 149356678 224035017 298713356 373391695 448070034 672105051 746783390 896140068 1120175085 1344210102 1493566780 2240350170 2688420204 3360525255 4480700340 6721050510 13442101020