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104356020021 = 3111729411011549
BaseRepresentation
bin110000100110000011…
…0100111111100110101
3100222100202021002100120
41201030012213330311
53202210120120041
6115535051402153
710353016351221
oct1411406477465
9328322232316
10104356020021
1140291286450
1218284753359
139ac1114496
14509d7ab781
152aab887366
hex184c1a7f35

104356020021 has 128 divisors (see below), whose sum is σ = 172113984000. Its totient is φ = 55480320000.

The previous prime is 104356020017. The next prime is 104356020107. The reversal of 104356020021 is 120020653401.

It is not a de Polignac number, because 104356020021 - 22 = 104356020017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104356019973 and 104356020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104356020221) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 67369155 + ... + 67370703.

It is an arithmetic number, because the mean of its divisors is an integer number (1344640500).

Almost surely, 2104356020021 is an apocalyptic number.

104356020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104356020021 is a deficient number, since it is larger than the sum of its proper divisors (67757963979).

104356020021 is a wasteful number, since it uses less digits than its factorization.

104356020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 104356020021 its reverse (120020653401), we get a palindrome (224376673422).

The spelling of 104356020021 in words is "one hundred four billion, three hundred fifty-six million, twenty thousand, twenty-one".

Divisors: 1 3 11 17 29 33 41 51 87 101 123 187 303 319 451 493 561 697 957 1111 1189 1353 1479 1549 1717 2091 2929 3333 3567 4141 4647 5151 5423 7667 8787 12423 13079 16269 17039 18887 20213 23001 26333 32219 39237 44921 45551 49793 51117 56661 60639 63509 70397 78999 96657 120089 134763 136653 149379 156449 190527 211191 222343 289663 360267 469347 494131 547723 667029 698599 763657 774367 868989 1079653 1320979 1482393 1643169 1720939 1841761 2041513 2095797 2290971 2323101 2659633 3238959 3962937 4537021 5162817 5525283 6124539 6414409 7978899 8400227 11876183 13611063 19243227 20259371 22456643 25200681 29255963 31309937 35628549 49907231 60778113 67369929 70558499 77129357 87767889 93929811 109044953 149721693 186017861 211675497 231388071 327134859 344409307 558053583 848422927 1033227921 1199494483 2046196471 2545268781 3162303637 3598483449 6138589413 9486910911 34785340007 104356020021