Search a number
-
+
121325011542 = 23373710198513
BaseRepresentation
bin111000011111110001…
…0001100001001010110
3102121011100102011122000
41300333202030021112
53441433200332132
6131422544020130
711523355403550
oct1607742141126
9377140364560
10121325011542
11474a9895989
121b61b601646
13b59686b877
145c2d2d84d0
15325148687c
hex1c3f88c256

121325011542 has 128 divisors (see below), whose sum is σ = 316802534400. Its totient is φ = 33690359808.

The previous prime is 121325011517. The next prime is 121325011589. The reversal of 121325011542 is 245110523121.

It is a happy number.

121325011542 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 501 + 154 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14247478 + ... + 14255990.

It is an arithmetic number, because the mean of its divisors is an integer number (2475019800).

Almost surely, 2121325011542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121325011542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158401267200).

121325011542 is an abundant number, since it is smaller than the sum of its proper divisors (195477522858).

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

121325011542 is a wasteful number, since it uses less digits than its factorization.

121325011542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 121325011542 its reverse (245110523121), we get a palindrome (366435534663).

The spelling of 121325011542 in words is "one hundred twenty-one billion, three hundred twenty-five million, eleven thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1019 1554 1998 2038 2331 3057 4662 6114 6993 7133 8513 9171 13986 14266 17026 18342 21399 25539 27513 37703 42798 51078 55026 59591 64197 75406 76617 113109 119182 128394 153234 178773 192591 226218 229851 263921 314981 339327 357546 385182 459702 527842 536319 629962 678654 791763 944943 1017981 1072638 1583526 1608957 1889886 2035962 2204867 2375289 2834829 3217914 4409734 4750578 5669658 6614601 7125867 8504487 8674747 13229202 14251734 17008974 17349494 19843803 26024241 39687606 52048482 59531409 60723229 78072723 119062818 121446458 156145446 182169687 234218169 320965639 364339374 468436338 546509061 641931278 962896917 1093018122 1639527183 1925793834 2246759473 2888690751 3279054366 4493518946 5777381502 6740278419 8666072253 13480556838 17332144506 20220835257 40441670514 60662505771 121325011542