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13013433104 = 2471315871511
BaseRepresentation
bin11000001111010100…
…10011101100010000
31020120221001220012212
430013222103230100
5203122414324404
65551151011252
7640325233130
oct140752235420
936527056185
1013013433104
11557881a9a1
122632209b28
1312c50c6099
148b6464ac0
1551270706e
hex307a93b10

13013433104 has 80 divisors (see below), whose sum is σ = 29104137216. Its totient is φ = 5521526400.

The previous prime is 13013433101. The next prime is 13013433107. The reversal of 13013433104 is 40133431031.

It is an interprime number because it is at equal distance from previous prime (13013433101) and next prime (13013433107).

It is a self number, because there is not a number n which added to its sum of digits gives 13013433104.

It is not an unprimeable number, because it can be changed into a prime (13013433101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8611709 + ... + 8613219.

Almost surely, 213013433104 is an apocalyptic number.

13013433104 is a gapful number since it is divisible by the number (14) 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 13013433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552068608).

13013433104 is an abundant number, since it is smaller than the sum of its proper divisors (16090704112).

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

13013433104 is a wasteful number, since it uses less digits than its factorization.

13013433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13013433104 its reverse (40133431031), we get a palindrome (53146864135).

The spelling of 13013433104 in words is "thirteen billion, thirteen million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 587 917 1048 1174 1511 1834 2096 2348 3022 3668 4109 4696 6044 7336 8218 9392 10577 12088 14672 16436 21154 24176 32872 42308 65744 76897 84616 153794 169232 197941 307588 395882 538279 615176 791764 886957 1076558 1230352 1385587 1583528 1773914 2153116 2771174 3167056 3547828 4306232 5542348 6208699 7095656 8612464 11084696 12417398 14191312 22169392 24834796 49669592 99339184 116191367 232382734 464765468 813339569 929530936 1626679138 1859061872 3253358276 6506716552 13013433104