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243121245012 = 223459106111987
BaseRepresentation
bin1110001001101100100…
…1111100101101010100
3212020112112111220020000
43202123021330231110
512440403014320022
6303404404011300
723364525325332
oct3423311745524
9766475456200
10243121245012
119411a671878
123b150990b30
1319c06c27779
14baa5016b52
1564cde9e6ac
hex389b27cb54

243121245012 has 120 divisors (see below), whose sum is σ = 647002429920. Its totient is φ = 79585122240.

The previous prime is 243121245007. The next prime is 243121245013. The reversal of 243121245012 is 210542121342.

243121245012 is a `hidden beast` number, since 2 + 4 + 31 + 2 + 124 + 501 + 2 = 666.

243121245012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243121245013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20276083 + ... + 20288069.

It is an arithmetic number, because the mean of its divisors is an integer number (5391686916).

Almost surely, 2243121245012 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 243121245012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323501214960).

243121245012 is an abundant number, since it is smaller than the sum of its proper divisors (403881184908).

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

243121245012 is a wasteful number, since it uses less digits than its factorization.

243121245012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 243121245012 its reverse (210542121342), we get a palindrome (453663366354).

The spelling of 243121245012 in words is "two hundred forty-three billion, one hundred twenty-one million, two hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1061 1062 1593 2122 2124 3183 3186 4244 4779 6366 6372 9549 9558 11987 12732 19098 19116 23974 28647 35961 38196 47948 57294 62599 71922 85941 107883 114588 125198 143844 171882 187797 215766 250396 323649 343764 375594 431532 563391 647298 707233 751188 970947 1126782 1294596 1414466 1690173 1941894 2121699 2253564 2828932 3380346 3883788 4243398 5070519 6365097 6760692 8486796 10141038 12718207 12730194 19095291 20282076 25436414 25460388 38154621 38190582 50872828 57285873 76309242 76381164 114463863 114571746 152618484 228927726 229143492 343391589 457855452 686783178 750374213 1030174767 1373566356 1500748426 2060349534 2251122639 3001496852 4120699068 4502245278 6753367917 9004490556 13506735834 20260103751 27013471668 40520207502 60780311253 81040415004 121560622506 243121245012