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121433241342 = 23747971075927
BaseRepresentation
bin111000100010111111…
…1000011011011111110
3102121102220001211000010
41301011333003123332
53442143402210332
6131441411444050
711526141343410
oct1610577033376
9377386054003
10121433241342
11475549985a6
121b64b8b6626
13b5b310427a
145c3d82c9b0
15325ac149cc
hex1c45fc36fe

121433241342 has 128 divisors (see below), whose sum is σ = 289114914816. Its totient is φ = 33287242752.

The previous prime is 121433241317. The next prime is 121433241359. The reversal of 121433241342 is 243142334121.

It is a congruent number.

It is an unprimeable number.

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, 20485183 + ... + 20491109.

It is an arithmetic number, because the mean of its divisors is an integer number (2258710272).

Almost surely, 2121433241342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121433241342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144557457408).

121433241342 is an abundant number, since it is smaller than the sum of its proper divisors (167681673474).

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

121433241342 is a wasteful number, since it uses less digits than its factorization.

121433241342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190.

The product of its digits is 13824, while the sum is 30.

Adding to 121433241342 its reverse (243142334121), we get a palindrome (364575575463).

The spelling of 121433241342 in words is "one hundred twenty-one billion, four hundred thirty-three million, two hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 97 107 141 194 214 282 291 321 329 582 642 658 679 749 987 1358 1498 1974 2037 2247 4074 4494 4559 5029 5927 9118 10058 10379 11854 13677 15087 17781 20758 27354 30174 31137 31913 35203 35562 41489 62274 63826 70406 72653 82978 95739 105609 124467 145306 191478 211218 217959 248934 278569 435918 487813 557138 574919 634189 835707 975626 1149838 1268378 1463439 1671414 1724757 1902567 1949983 2926878 3414691 3449514 3805134 3899966 4024433 4439323 5849949 6829382 8048866 8878646 10244073 11699898 12073299 13317969 20488146 24146598 26635938 27021193 29806883 54042386 59613766 61516333 81063579 89420649 123032666 162127158 178841298 184548999 189148351 208648181 369097998 378296702 417296362 430614331 567445053 625944543 861228662 1134890106 1251889086 1291842993 2583685986 2891267651 5782535302 8673802953 17347605906 20238873557 40477747114 60716620671 121433241342