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13143311403102 = 234236435485939
BaseRepresentation
bin1011111101000010101001…
…1010000100100001011110
31201112111011222012010010000
42333100222122010201132
53210320000204344402
643541542013155130
72524400336415216
oct277205232044136
951474158163100
1013143311403102
114208057707011
12158331848baa6
137445415c2b1a
143361d535b246
1517bd4ae5ec1c
hexbf42a68485e

13143311403102 has 80 divisors (see below), whose sum is σ = 30779019976320. Its totient is φ = 4184102968848.

The previous prime is 13143311403083. The next prime is 13143311403121. The reversal of 13143311403102 is 20130411334131.

13143311403102 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 331 + 14 + 0 + 310 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13143311403083) and next prime (13143311403121).

It is a super-2 number, since 2×131433114031022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 347152 + ... + 5138787.

It is an arithmetic number, because the mean of its divisors is an integer number (384737749704).

Almost surely, 213143311403102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13143311403102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389509988160).

13143311403102 is an abundant number, since it is smaller than the sum of its proper divisors (17635708573218).

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

13143311403102 is a wasteful number, since it uses less digits than its factorization.

13143311403102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486619 (or 5486610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13143311403102 its reverse (20130411334131), we get a palindrome (33273722737233).

The spelling of 13143311403102 in words is "thirteen trillion, one hundred forty-three billion, three hundred eleven million, four hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 643 1242 1286 1863 1929 3726 3858 5787 11574 14789 17361 29578 34722 44367 52083 88734 104166 133101 266202 399303 798606 1197909 2395818 5485939 10971878 16457817 32915634 49373451 98746902 126176597 148120353 252353194 296240706 378529791 444361059 757059582 888722118 1135589373 2271178746 3406768119 3527458777 6813536238 7054917554 10220304357 10582376331 20440608714 21164752662 31747128993 63494257986 81131551871 95241386979 162263103742 190482773958 243394655613 285724160937 486789311226 571448321874 730183966839 1460367933678 2190551900517 4381103801034 6571655701551 13143311403102