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13104120233000 = 2353223162136251
BaseRepresentation
bin1011111010110000101001…
…1011100111110000101000
31201101202000200002101122102
42332230022123213300220
53204144214234424000
643511541050312532
72521512213105116
oct276541233476050
951352020071572
1013104120233000
1141a247627a935
1215777bb428748
13740936c95544
14334358376ab6
1517ad054963d5
hexbeb0a6e7c28

13104120233000 has 128 divisors (see below), whose sum is σ = 30820997975040. Its totient is φ = 5214780000000.

The previous prime is 13104120232961. The next prime is 13104120233119. The reversal of 13104120233000 is 33202140131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361464875 + ... + 361501125.

It is an arithmetic number, because the mean of its divisors is an integer number (240789046680).

Almost surely, 213104120233000 is an apocalyptic number.

13104120233000 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 13104120233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410498987520).

13104120233000 is an abundant number, since it is smaller than the sum of its proper divisors (17716877742040).

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

13104120233000 is a wasteful number, since it uses less digits than its factorization.

13104120233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38116 (or 38102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13104120233000 its reverse (33202140131), we get a palindrome (13137322373131).

The spelling of 13104120233000 in words is "thirteen trillion, one hundred four billion, one hundred twenty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 223 250 446 500 892 1000 1115 1621 1784 2230 3242 4460 5575 6484 8105 8920 11150 12968 16210 22300 27875 32420 36251 40525 44600 55750 64840 72502 81050 111500 145004 162100 181255 202625 223000 290008 324200 361483 362510 405250 722966 725020 810500 906275 1445932 1450040 1621000 1807415 1812550 2891864 3614830 3625100 4531375 7229660 7250200 8083973 9037075 9062750 14459320 16167946 18074150 18125500 32335892 36148300 36251000 40419865 45185375 58762871 64671784 72296600 80839730 90370750 117525742 161679460 180741500 202099325 235051484 293814355 323358920 361483000 404198650 470102968 587628710 808397300 1010496625 1175257420 1469071775 1616794600 2020993250 2350514840 2938143550 4041986500 5876287100 7345358875 8083973000 11752574200 13104120233 14690717750 26208240466 29381435500 52416480932 58762871000 65520601165 104832961864 131041202330 262082404660 327603005825 524164809320 655206011650 1310412023300 1638015029125 2620824046600 3276030058250 6552060116500 13104120233000