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1310121011110 = 2517294719932837
BaseRepresentation
bin10011000100001001010…
…011000010011110100110
311122020122120211002101111
4103010021103002132212
5132431111434323420
62441510012015234
7163440006565402
oct23041123023646
94566576732344
101310121011110
1146568a17968a
12191ab0a6151a
139670bba3b02
14475a580c102
152412c73845a
hex131094c27a6

1310121011110 has 128 divisors (see below), whose sum is σ = 2640249976320. Its totient is φ = 465684086784.

The previous prime is 1310121011083. The next prime is 1310121011117. The reversal of 1310121011110 is 111101210131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310121011117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461796612 + ... + 461799448.

It is an arithmetic number, because the mean of its divisors is an integer number (20626952940).

Almost surely, 21310121011110 is an apocalyptic number.

1310121011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310121011110 is an abundant number, since it is smaller than the sum of its proper divisors (1330128965210).

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

1310121011110 is a wasteful number, since it uses less digits than its factorization.

1310121011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1310121011110 its reverse (111101210131), we get a palindrome (1421222221241).

The spelling of 1310121011110 in words is "one trillion, three hundred ten billion, one hundred twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 5 10 17 29 34 47 58 85 94 145 170 235 290 470 493 799 986 1363 1598 1993 2465 2726 2837 3986 3995 4930 5674 6815 7990 9965 13630 14185 19930 23171 28370 33881 46342 48229 57797 67762 82273 93671 96458 115594 115855 133339 164546 169405 187342 231710 241145 266678 288985 338810 411365 468355 482290 577970 666695 822730 936710 982549 1333390 1398641 1592407 1965098 2266763 2716459 2797282 3184814 3866831 4533526 4912745 5432918 5654141 6993205 7733662 7962035 9825490 11308282 11333815 13582295 13986410 15924070 19334155 22667630 27164590 28270705 38668310 46179803 56541410 65736127 92359606 96120397 131472254 163970089 192240794 230899015 265744627 327940178 328680635 461798030 480601985 531489254 657361270 819850445 961203970 1328723135 1639700890 2657446270 2787491513 4517658659 5574983026 7706594183 9035317318 13937457565 15413188366 22588293295 27874915130 38532970915 45176586590 77065941830 131012101111 262024202222 655060505555 1310121011110