Search a number
-
+
121032141413304 = 2331114917591749221
BaseRepresentation
bin11011100001001111111101…
…110010111001101110111000
3120212112120010000221102121110
4123201033331302321232320
5111330442311200211204
61105225222001240320
734331166202351422
oct3341177562715670
9525476100842543
10121032141413304
11356234965876a0
12116a8a0b3330a0
13526c388618364
1421c5db60ab812
15ded4cc9dd889
hex6e13fdcb9bb8

121032141413304 has 128 divisors (see below), whose sum is σ = 332492117760000. Its totient is φ = 36409524518400.

The previous prime is 121032141413299. The next prime is 121032141413321. The reversal of 121032141413304 is 403314141230121.

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 31 ways as a sum of consecutive naturals, for example, 68317414 + ... + 70066634.

It is an arithmetic number, because the mean of its divisors is an integer number (2597594670000).

Almost surely, 2121032141413304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121032141413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166246058880000).

121032141413304 is an abundant number, since it is smaller than the sum of its proper divisors (211459976346696).

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

121032141413304 is a wasteful number, since it uses less digits than its factorization.

121032141413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751149 (or 1751145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 121032141413304 its reverse (403314141230121), we get a palindrome (524346282643425).

The spelling of 121032141413304 in words is "one hundred twenty-one trillion, thirty-two billion, one hundred forty-one million, four hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1192 1639 1759 1788 3278 3518 3576 4917 5277 6556 7036 9834 10554 13112 14072 19349 19668 21108 38698 39336 42216 58047 77396 116094 154792 232188 262091 464376 524182 786273 1048364 1572546 1749221 2096728 2883001 3145092 3498442 5247663 5766002 6290184 6996884 8649003 10495326 11532004 13993768 17298006 19241431 20990652 23064008 34596012 38482862 41981304 57724293 69192024 76965724 115448586 153931448 230897172 260633929 461794344 521267858 781901787 1042535716 1563803574 2085071432 2866973219 3076879739 3127607148 5733946438 6153759478 6255214296 8600919657 9230639217 11467892876 12307518956 17201839314 18461278434 22935785752 24615037912 33845677129 34403678628 36922556868 67691354258 68807357256 73845113736 101537031387 135382708516 203074062774 270765417032 406148125548 458455081111 812296251096 916910162222 1375365243333 1833820324444 2750730486666 3667640648888 5043005892221 5501460973332 10086011784442 11002921946664 15129017676663 20172023568884 30258035353326 40344047137768 60516070706652 121032141413304