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1123032212001 = 327172414732009
BaseRepresentation
bin10000010101111001111…
…011111010001000100001
310222100202001020100212200
4100111321323322020201
5121344432221241001
62215525221443413
7144064533204450
oct20257173721041
93870661210780
101123032212001
113a3303451847
12161799270569
1381b9473519b
143c4d837cb97
151e32ca25086
hex10579efa221

1123032212001 has 144 divisors (see below), whose sum is σ = 2060382804480. Its totient is φ = 576697098240.

The previous prime is 1123032211997. The next prime is 1123032212033. The reversal of 1123032212001 is 1002122303211.

1123032212001 is a `hidden beast` number, since 11 + 230 + 3 + 221 + 200 + 1 = 666.

It is not a de Polignac number, because 1123032212001 - 22 = 1123032211997 is a prime.

It is a super-2 number, since 2×11230322120012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1123032211001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35068885 + ... + 35100893.

It is an arithmetic number, because the mean of its divisors is an integer number (14308213920).

Almost surely, 21123032212001 is an apocalyptic number.

It is an amenable number.

1123032212001 is a deficient number, since it is larger than the sum of its proper divisors (937350592479).

1123032212001 is a wasteful number, since it uses less digits than its factorization.

1123032212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32144 (or 32124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1123032212001 its reverse (1002122303211), we get a palindrome (2125154515212).

The spelling of 1123032212001 in words is "one trillion, one hundred twenty-three billion, thirty-two million, two hundred twelve thousand, one".

Divisors: 1 3 7 9 17 21 41 47 51 63 119 123 141 153 287 289 329 357 369 423 697 799 861 867 987 1071 1927 2023 2091 2397 2583 2601 2961 4879 5593 5781 6069 6273 7191 11849 13489 13583 14637 16779 17343 18207 32009 32759 35547 40467 40749 43911 50337 82943 95081 96027 98277 106641 121401 122247 224063 229313 248829 285243 288081 294831 544153 556903 672189 687939 746487 855729 1312369 1504423 1632459 1670709 2016567 2063817 3809071 3898321 3937107 4513269 4897377 5012127 9186583 9250601 10530961 11427213 11694963 11811321 13539807 22310273 25575191 27559749 27751803 31592883 34281639 35084889 61681343 64754207 66930819 76725573 82679247 83255409 94778649 156171911 179026337 185044029 194262621 200792457 230176719 379274641 431769401 434778247 468515733 537079011 555132087 582787863 1048582831 1137823923 1295308203 1304334741 1405547199 1611237033 2654922487 3043447729 3145748493 3413471769 3885924609 3913004223 7340079817 7964767461 9130343187 9437245479 17825908127 22020239451 23894302383 27391029561 53477724381 66060718353 124781356889 160433173143 374344070667 1123032212001