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13104122003433 = 34673498638017
BaseRepresentation
bin1011111010110000101010…
…0010010111111111101001
31201101202000210102100020000
42332230022202113333221
53204144220213102213
643511541152253213
72521512234130536
oct276541242277751
951352023370200
1013104122003433
1141a2477279aaa
1215777bbb41209
13740937465336
143343586b7d8d
1517ad056e5c73
hexbeb0a897fe9

13104122003433 has 80 divisors (see below), whose sum is σ = 19949964249600. Its totient is φ = 8570021543424.

The previous prime is 13104122003393. The next prime is 13104122003437. The reversal of 13104122003433 is 33430022140131.

It is a happy number.

13104122003433 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 1 + 220 + 0 + 3 + 433 = 666.

It is not a de Polignac number, because 13104122003433 - 213 = 13104121995241 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 13104122003397 and 13104122003406.

It is not an unprimeable number, because it can be changed into a prime (13104122003437) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1634537841 + ... + 1634545857.

It is an arithmetic number, because the mean of its divisors is an integer number (249374553120).

Almost surely, 213104122003433 is an apocalyptic number.

It is an amenable number.

13104122003433 is a deficient number, since it is larger than the sum of its proper divisors (6845842246167).

13104122003433 is an equidigital number, since it uses as much as digits as its factorization.

13104122003433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13104122003433 its reverse (33430022140131), we get a palindrome (46534144143564).

The spelling of 13104122003433 in words is "thirteen trillion, one hundred four billion, one hundred twenty-two million, three thousand, four hundred thirty-three".

Divisors: 1 3 9 27 67 81 201 349 603 863 1047 1809 2589 3141 5427 7767 8017 9423 23301 23383 24051 28269 57821 69903 70149 72153 173463 210447 216459 301187 520389 537139 631341 649377 903561 1561167 1611417 1894023 2710683 2797933 4683501 4834251 6918671 8132049 8393799 14502753 20179529 20756013 24396147 25181397 43508259 60538587 62268039 75544191 181615761 186804117 187461511 226632573 463550957 544847283 560412351 562384533 1390652871 1634541849 1687153599 2414616179 4171958613 5061460797 7243848537 12515875839 15184382391 21731545611 37547627517 65194636833 161779283993 195583910499 485337851979 1456013555937 4368040667811 13104122003433