Search a number
-
+
121043133144 = 23329733152361
BaseRepresentation
bin111000010111010111…
…0111010001011011000
3102120102201000021011100
41300232232322023120
53440344020230034
6131334554231400
711513363440623
oct1605656721330
9376381007140
10121043133144
114737476952a
121b561125560
13b55034720b
145c03ac0dba
153236857099
hex1c2ebba2d8

121043133144 has 96 divisors (see below), whose sum is σ = 332211756240. Its totient is φ = 39810355200.

The previous prime is 121043133121. The next prime is 121043133191. The reversal of 121043133144 is 441331340121.

121043133144 is a `hidden beast` number, since 1 + 210 + 431 + 3 + 3 + 14 + 4 = 666.

It is a super-2 number, since 2×1210431331442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2285524 + ... + 2337884.

Almost surely, 2121043133144 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 121043133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166105878120).

121043133144 is an abundant number, since it is smaller than the sum of its proper divisors (211168623096).

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

121043133144 is a wasteful number, since it uses less digits than its factorization.

121043133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52801 (or 52794 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121043133144 its reverse (441331340121), we get a palindrome (562374473265).

The spelling of 121043133144 in words is "one hundred twenty-one billion, forty-three million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 331 388 582 662 776 873 993 1164 1324 1746 1986 2328 2648 2979 3492 3972 5958 6984 7944 11916 23832 32107 52361 64214 96321 104722 128428 157083 192642 209444 256856 288963 314166 385284 418888 471249 577926 628332 770568 942498 1155852 1256664 1884996 2311704 3769992 5079017 10158034 15237051 17331491 20316068 30474102 34662982 40632136 45711153 51994473 60948204 69325964 91422306 103988946 121896408 138651928 155983419 182844612 207977892 311966838 365689224 415955784 623933676 1247867352 1681154627 3362309254 5043463881 6724618508 10086927762 13449237016 15130391643 20173855524 30260783286 40347711048 60521566572 121043133144