Search a number
-
+
131101311415454 = 21943146761927691
BaseRepresentation
bin11101110011110001100111…
…000110001011010010011110
3122012012011101210201212022022
4131303301213012023102132
5114140430441210243304
61142455035551420142
736420520466242622
oct3563614706132236
9565164353655268
10131101311415454
1138855832543046
121285438bb24652
13581ca53c64323
1424534a18b9182
1510253a5241ebe
hex773c6718b49e

131101311415454 has 64 divisors (see below), whose sum is σ = 208270069862400. Its totient is φ = 61721760952800.

The previous prime is 131101311415447. The next prime is 131101311415457. The reversal of 131101311415454 is 454514113101131.

It is a super-2 number, since 2×1311013114154542 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101311415457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4734423749 + ... + 4734451439.

It is an arithmetic number, because the mean of its divisors is an integer number (3254219841600).

Almost surely, 2131101311415454 is an apocalyptic number.

131101311415454 is a deficient number, since it is larger than the sum of its proper divisors (77168758446946).

131101311415454 is a wasteful number, since it uses less digits than its factorization.

131101311415454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29229.

The product of its (nonzero) digits is 14400, while the sum is 35.

Adding to 131101311415454 its reverse (454514113101131), we get a palindrome (585615424516585).

The spelling of 131101311415454 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred eleven million, four hundred fifteen thousand, four hundred fifty-four".

Divisors: 1 2 19 38 431 467 619 862 934 1238 8189 8873 11761 16378 17746 23522 27691 55382 201277 266789 289073 402554 526129 533578 578146 1052258 3824263 5068991 5492387 7648526 10137982 10984774 11934821 12931697 17140729 23869642 25863394 34281458 124590463 226761599 245702243 249180926 325673851 453523198 491404486 651347702 2367218797 4734437594 5573561407 7387654199 8004720443 11147122814 14775308398 16009440886 105897666733 140365429781 152089688417 211795333466 280730859562 304179376834 3450034510933 6900069021866 65550655707727 131101311415454