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100041124425 = 352111741173977
BaseRepresentation
bin101110100101011101…
…0100110101001001001
3100120020001000200100120
41131022322212221021
53114341011440200
6113542552253453
710141053345534
oct1351272465111
9316201020316
10100041124425
1139477674530
121747b6a1289
1395841ab018
144bb06c7a1b
152907b5e9a0
hex174aea6a49

100041124425 has 96 divisors (see below), whose sum is σ = 195712723584. Its totient is φ = 44537856000.

The previous prime is 100041124387. The next prime is 100041124433. The reversal of 100041124425 is 524421140001.

It is not a de Polignac number, because 100041124425 - 26 = 100041124361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100041124395 and 100041124404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488037 + ... + 662013.

It is an arithmetic number, because the mean of its divisors is an integer number (2038674204).

Almost surely, 2100041124425 is an apocalyptic number.

100041124425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100041124425 is a deficient number, since it is larger than the sum of its proper divisors (95671599159).

100041124425 is a wasteful number, since it uses less digits than its factorization.

100041124425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174059 (or 174054 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 100041124425 its reverse (524421140001), we get a palindrome (624462264426).

The spelling of 100041124425 in words is "one hundred billion, forty-one million, one hundred twenty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 41 51 55 75 85 123 165 187 205 255 275 425 451 561 615 697 825 935 1025 1275 1353 2091 2255 2805 3075 3485 4675 6765 7667 10455 11275 14025 17425 23001 33825 38335 52275 115005 173977 191675 521931 575025 869885 1913747 2609655 2957609 4349425 5741241 7133057 8872827 9568735 13048275 14788045 21399171 28706205 32533699 35665285 44364135 47843675 73940225 78463627 97601097 106995855 121261969 143531025 162668495 178326425 221820675 235390881 363785907 392318135 488005485 534979275 606309845 813342475 1176954405 1333881659 1818929535 1961590675 2440027425 3031549225 4001644977 5884772025 6669408295 9094647675 20008224885 33347041475 100041124425