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201123101412 = 2236109632773
BaseRepresentation
bin1011101101001111011…
…1101111101011100100
3201020010121121011000000
42323103313233223210
511243400003221122
6232221130021300
720350006104102
oct2732367575344
9636117534000
10201123101412
1178328824992
1232b8b877830
1315c72bcab1c
149a3d314c72
155371d700ac
hex2ed3defae4

201123101412 has 84 divisors (see below), whose sum is σ = 532548926140. Its totient is φ = 66425873472.

The previous prime is 201123101383. The next prime is 201123101497. The reversal of 201123101412 is 214101321102.

201123101412 is a `hidden beast` number, since 20 + 1 + 1 + 231 + 0 + 1 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80035804836 + 121087296576 = 282906^2 + 347976^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1458 + ... + 634230.

Almost surely, 2201123101412 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 201123101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266274463070).

201123101412 is an abundant number, since it is smaller than the sum of its proper divisors (331425824728).

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

201123101412 is a wasteful number, since it uses less digits than its factorization.

201123101412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632904 (or 632887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201123101412 its reverse (214101321102), we get a palindrome (415224422514).

The spelling of 201123101412 in words is "two hundred one billion, one hundred twenty-three million, one hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 654 729 972 981 1308 1458 1962 2916 2943 3924 5886 8829 11772 17658 26487 35316 52974 79461 105948 158922 317844 632773 1265546 1898319 2531092 3796638 5694957 7593276 11389914 17084871 22779828 34169742 51254613 68339484 68972257 102509226 137944514 153763839 205018452 206916771 275889028 307527678 413833542 461291517 615055356 620750313 827667084 922583034 1241500626 1845166068 1862250939 2483001252 3724501878 5586752817 7449003756 11173505634 16760258451 22347011268 33520516902 50280775353 67041033804 100561550706 201123101412