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103545621036 = 2232111322987833
BaseRepresentation
bin110000001101111001…
…1001100101000101100
3100220021021100112221100
41200123303030220230
53144030134333121
6115322422003100
710323646154034
oct1403363145054
9326237315840
10103545621036
113aa05892720
1218099276490
1399c2260260
145023cd68c4
152a60659026
hex181bccca2c

103545621036 has 144 divisors (see below), whose sum is σ = 308845424160. Its totient is φ = 28837002240.

The previous prime is 103545620987. The next prime is 103545621071. The reversal of 103545621036 is 630126545301.

103545621036 is a `hidden beast` number, since 1 + 0 + 3 + 54 + 562 + 10 + 36 = 666.

It is a super-3 number, since 3×1035456210363 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134976 + ... + 1222808.

It is an arithmetic number, because the mean of its divisors is an integer number (2144759890).

Almost surely, 2103545621036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103545621036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154422712080).

103545621036 is an abundant number, since it is smaller than the sum of its proper divisors (205299803124).

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

103545621036 is a wasteful number, since it uses less digits than its factorization.

103545621036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88096 (or 88091 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 103545621036 in words is "one hundred three billion, five hundred forty-five million, six hundred twenty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 229 234 286 396 429 458 468 572 687 858 916 1287 1374 1716 2061 2519 2574 2748 2977 4122 5038 5148 5954 7557 8244 8931 10076 11908 15114 17862 22671 26793 30228 32747 35724 45342 53586 65494 87833 90684 98241 107172 130988 175666 196482 263499 294723 351332 392964 526998 589446 790497 966163 1053996 1141829 1178892 1580994 1932326 2283658 2898489 3161988 3425487 3864652 4567316 5796978 6850974 8695467 10276461 11593956 12560119 13701948 17390934 20113757 20552922 25120238 34781868 37680357 40227514 41105844 50240476 60341271 75360714 80455028 113041071 120682542 150721428 181023813 221251327 226082142 241365084 261478841 362047626 442502654 452164284 522957682 663753981 724095252 784436523 885005308 1045915364 1327507962 1568873046 1991261943 2353309569 2655015924 2876267251 3137746092 3982523886 4706619138 5752534502 7965047772 8628801753 9413238276 11505069004 17257603506 25886405259 34515207012 51772810518 103545621036