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114310131113310 = 235114322735487587
BaseRepresentation
bin11001111111011011100110…
…110000100101110101011110
3112222201221102120122101120020
4121333123212300211311132
5104440324122031111220
61043041203235533010
733035430416505666
oct3177334660456536
9488657376571506
10114310131113310
1133471721a55480
12109a209b75a166
134ba2525b013a2
1420328d5b151a6
15d337074d8040
hex67f6e6c25d5e

114310131113310 has 128 divisors (see below), whose sum is σ = 307593921153024. Its totient is φ = 26947853304960.

The previous prime is 114310131113239. The next prime is 114310131113323. The reversal of 114310131113310 is 13311131013411.

It is a super-2 number, since 2×1143101311133102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14522664 + ... + 20964923.

It is an arithmetic number, because the mean of its divisors is an integer number (2403077509008).

Almost surely, 2114310131113310 is an apocalyptic number.

114310131113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114310131113310 is an abundant number, since it is smaller than the sum of its proper divisors (193283790039714).

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

114310131113310 is a wasteful number, since it uses less digits than its factorization.

114310131113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35487878.

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 114310131113310 its reverse (13311131013411), we get a palindrome (127621262126721).

The spelling of 114310131113310 in words is "one hundred fourteen trillion, three hundred ten billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 227 258 330 430 454 473 645 681 946 1135 1290 1362 1419 2270 2365 2497 2838 3405 4730 4994 6810 7095 7491 9761 12485 14190 14982 19522 24970 29283 37455 48805 58566 74910 97610 107371 146415 214742 292830 322113 536855 644226 1073710 1610565 3221130 35487587 70975174 106462761 177437935 212925522 354875870 390363457 532313805 780726914 1064627610 1171090371 1525966241 1951817285 2342180742 3051932482 3903634570 4577898723 5855451855 7629831205 8055682249 9155797446 11710903710 15259662410 16111364498 16785628651 22889493615 24167046747 33571257302 40278411245 45778987230 48334093494 50356885953 80556822490 83928143255 88612504739 100713771906 120835233735 167856286510 177225009478 241670467470 251784429765 265837514217 346394336707 443062523695 503568859530 531675028434 692788673414 886125047390 1039183010121 1329187571085 1731971683535 2078366020242 2658375142170 3463943367070 3810337703777 5195915050605 7620675407554 10391830101210 11431013111331 19051688518885 22862026222662 38103377037770 57155065556655 114310131113310