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121114533342 = 231137139509701
BaseRepresentation
bin111000011001011111…
…1010001110111011110
3102120121200100202211010
41300302333101313132
53441020310031332
6131350024440050
711515221355515
oct1606277216736
9376550322733
10121114533342
1147400aa6560
121b581019026
13b56208615a
145c0d38967c
15323cc5c9cc
hex1c32fd1dde

121114533342 has 128 divisors (see below), whose sum is σ = 274271961600. Its totient is φ = 35332416000.

The previous prime is 121114533329. The next prime is 121114533347. The reversal of 121114533342 is 243335411121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121114533347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172773592 + ... + 172774292.

It is an arithmetic number, because the mean of its divisors is an integer number (2142749700).

Almost surely, 2121114533342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121114533342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135980800).

121114533342 is an abundant number, since it is smaller than the sum of its proper divisors (153157428258).

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

121114533342 is a wasteful number, since it uses less digits than its factorization.

121114533342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402.

The product of its digits is 8640, while the sum is 30.

Adding to 121114533342 its reverse (243335411121), we get a palindrome (364449944463).

It can be divided in two parts, 121114 and 533342, that added together give a palindrome (654456).

The spelling of 121114533342 in words is "one hundred twenty-one billion, one hundred fourteen million, five hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 139 222 278 407 417 509 701 814 834 1018 1221 1402 1527 1529 2103 2442 3054 3058 4206 4587 5143 5599 7711 9174 10286 11198 15422 15429 16797 18833 23133 25937 30858 33594 37666 46266 51874 56499 56573 70751 77811 97439 112998 113146 141502 155622 169719 194878 207163 212253 285307 292317 339438 356809 414326 424506 570614 584634 621489 713618 778261 855921 1070427 1071829 1242978 1556522 1711842 2140854 2143658 2334783 2617787 3215487 3605243 3924899 4669566 5235574 6430974 7210486 7849798 7853361 10815729 11774697 13201933 15706722 21631458 23549394 26403866 28795657 39605799 39657673 49596451 57591314 79211598 79315346 86386971 99192902 118973019 145221263 148789353 172773942 237946038 290442526 297578706 435663789 545560961 871327578 1091121922 1636682883 1835068687 3273365766 3670137374 5505206061 11010412122 20185755557 40371511114 60557266671 121114533342