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1310132102103 = 3311431316011303
BaseRepresentation
bin10011000100001001111…
…101010110001111010111
311122020200100200120101000
4103010021331112033113
5132431122304231403
62441511045434343
7163440203060556
oct23041175261727
94566610616330
101310132102103
114656954644a0
12191ab470b9b3
1396711288126
14475a7097d9d
152412d6c97a3
hex13109f563d7

1310132102103 has 128 divisors (see below), whose sum is σ = 2188476702720. Its totient is φ = 767763360000.

The previous prime is 1310132102099. The next prime is 1310132102119. The reversal of 1310132102103 is 3012012310131.

1310132102103 is a `hidden beast` number, since 1 + 310 + 132 + 10 + 210 + 3 = 666.

It is not a de Polignac number, because 1310132102103 - 22 = 1310132102099 is a prime.

It is a super-2 number, since 2×13101321021032 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310132102603) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1005472950 + ... + 1005474252.

It is an arithmetic number, because the mean of its divisors is an integer number (17097474240).

Almost surely, 21310132102103 is an apocalyptic number.

1310132102103 is a deficient number, since it is larger than the sum of its proper divisors (878344600617).

1310132102103 is a wasteful number, since it uses less digits than its factorization.

1310132102103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1310132102103 its reverse (3012012310131), we get a palindrome (4322144412234).

The spelling of 1310132102103 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, one hundred two thousand, one hundred three".

Divisors: 1 3 9 11 27 33 43 99 129 131 297 387 393 473 601 1161 1179 1303 1419 1441 1803 3537 3909 4257 4323 5409 5633 6611 11727 12771 12969 14333 16227 16899 19833 25843 35181 38907 42999 50697 56029 59499 61963 77529 78731 128997 152091 168087 170693 178497 185889 232587 236193 284273 386991 504261 512079 557667 616319 697761 708579 783103 852819 866041 1512783 1536237 1673001 1848957 1877623 2125737 2349309 2558457 2598123 3385433 4608711 5546871 5632869 7047927 7339799 7675371 7794369 8614133 10156299 16640613 16898607 21143781 22019397 23383107 25842399 30468897 33673429 37239763 50695821 66058191 77527197 80737789 91406691 101020287 102586493 111719289 198174573 232581591 242213367 303060861 307759479 335157867 370407719 726640101 909182583 923278437 1005473601 1111223157 1128451423 2179920303 2769835311 3333669471 3385354269 4411219199 10001008413 10156062807 13233657597 30468188421 39700972791 48523411189 119102918373 145570233567 436710700701 1310132102103