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13124302100 = 22527213206033
BaseRepresentation
bin11000011100100010…
…01111010100010100
31020212122200121212222
430032101033110110
5203334310131400
610010151201512
7643142504300
oct141621172424
936778617788
1013124302100
115625365468
122663376298
131312073b40
148c7084d00
1551c307185
hex30e44f514

13124302100 has 108 divisors (see below), whose sum is σ = 35678083644. Its totient is φ = 4153605120.

The previous prime is 13124302099. The next prime is 13124302111. The reversal of 13124302100 is 120342131.

It can be written as a sum of positive squares in 6 ways, for example, as 146991376 + 12977310724 = 12124^2 + 113918^2 .

It is a super-2 number, since 2×131243021002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39317 + ... + 166716.

Almost surely, 213124302100 is an apocalyptic number.

13124302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124302100 is an abundant number, since it is smaller than the sum of its proper divisors (22553781544).

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

13124302100 is a wasteful number, since it uses less digits than its factorization.

13124302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206074 (or 206060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13124302100 its reverse (120342131), we get a palindrome (13244644231).

The spelling of 13124302100 in words is "thirteen billion, one hundred twenty-four million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 206033 412066 824132 1030165 1442231 2060330 2678429 2884462 4120660 5150825 5356858 5768924 7211155 10095617 10301650 10713716 13392145 14422310 18749003 20191234 20603300 26784290 28844620 36055775 37498006 40382468 50478085 53568580 66960725 72111550 74996012 93745015 100956170 131243021 133921450 144223100 187490030 201912340 252390425 262486042 267842900 374980060 468725075 504780850 524972084 656215105 937450150 1009561700 1312430210 1874900300 2624860420 3281075525 6562151050 13124302100