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103303444350054 = 231317727169963073
BaseRepresentation
bin10111011111010000110101…
…000110101100010001100110
3111112202201020122122221111110
4113133100311012230101212
5102020010423223200204
61003412540331445450
730521266436622624
oct2737206506542146
9445681218587443
10103303444350054
112aa08821247343
12b704a965b6886
13458461c2580b0
141b71cb0480514
15be225dc8a889
hex5df4351ac466

103303444350054 has 128 divisors (see below), whose sum is σ = 236054596377600. Its totient is φ = 29856722632704.

The previous prime is 103303444350013. The next prime is 103303444350191. The reversal of 103303444350054 is 450053444303301.

It is a super-2 number, since 2×1033034443500542 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 103303444349994 and 103303444350021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1637807862 + ... + 1637870934.

It is an arithmetic number, because the mean of its divisors is an integer number (1844176534200).

Almost surely, 2103303444350054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103303444350054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118027298188800).

103303444350054 is an abundant number, since it is smaller than the sum of its proper divisors (132751152027546).

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

103303444350054 is a wasteful number, since it uses less digits than its factorization.

103303444350054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65534.

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 103303444350054 its reverse (450053444303301), we get a palindrome (553356888653355).

The spelling of 103303444350054 in words is "one hundred three trillion, three hundred three billion, four hundred forty-four million, three hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 727 1326 1454 1699 2181 3398 4362 5097 9451 10194 12359 18902 22087 24718 28353 28883 37077 44174 56706 57766 63073 66261 74154 86649 126146 132522 160667 173298 189219 321334 375479 378438 482001 750958 819949 964002 1072241 1126437 1235173 1639898 2144482 2252874 2459847 2470346 3216723 3705519 4919694 6433446 7411038 13939133 16057249 20997941 27878266 32114498 41817399 41995882 45854071 48171747 62993823 83634798 91708142 96343494 107161027 125987646 137562213 214322054 272973233 275124426 321483081 545946466 596102923 642966162 779519207 818919699 1192205846 1393093351 1559038414 1637839398 1788308769 1821737459 2338557621 2786186702 3576617538 3643474918 4179280053 4677115242 5465212377 8358560106 10133749691 10930424754 20267499382 23682586967 30401249073 47365173934 60802498146 71047760901 77906066629 142095521802 155812133258 233718199887 467436399774 1012778866177 1324403132693 2025557732354 2648806265386 3038336598531 3973209398079 6076673197062 7946418796158 17217240725009 34434481450018 51651722175027 103303444350054