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1103568306138 = 2321729941132157
BaseRepresentation
bin10000000011110001110…
…010111111111111011010
310220111111120110111112100
4100003301302333333122
5121040101441244023
62202550002424230
7142505310554304
oct20036162777732
93814446414470
101103568306138
113960255a2231
12159a66962076
13800b213c41c
143b5ad366974
151da8dda1c43
hex100f1cbffda

1103568306138 has 96 divisors (see below), whose sum is σ = 2621819126160. Its totient is φ = 333921208320.

The previous prime is 1103568306119. The next prime is 1103568306193. The reversal of 1103568306138 is 8316038653011.

It can be written as a sum of positive squares in 8 ways, for example, as 825294120849 + 278274185289 = 908457^2 + 527517^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1103568306093 and 1103568306102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8284356 + ... + 8416512.

Almost surely, 21103568306138 is an apocalyptic number.

1103568306138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103568306138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310909563080).

1103568306138 is an abundant number, since it is smaller than the sum of its proper divisors (1518250820022).

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

1103568306138 is a wasteful number, since it uses less digits than its factorization.

1103568306138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133152 (or 133149 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1103568306138 in words is "one trillion, one hundred three billion, five hundred sixty-eight million, three hundred six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 941 986 1479 1882 2823 2958 4437 5646 8469 8874 15997 16938 27289 31994 47991 54578 81867 95982 132157 143973 163734 245601 264314 287946 396471 463913 491202 792942 927826 1189413 1391739 2246669 2378826 2783478 3832553 4175217 4493338 6740007 7665106 8350434 11497659 13480014 20220021 22995318 34492977 40440042 65153401 68985954 124359737 130306802 195460203 248719474 373079211 390920406 586380609 746158422 1119237633 1172761218 2114115529 2238475266 3606432373 4228231058 6342346587 7212864746 10819297119 12684693174 19027039761 21638594238 32457891357 38054079522 61309350341 64915782714 122618700682 183928051023 367856102046 551784153069 1103568306138