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133123001121 = 34114322915173
BaseRepresentation
bin111101111111010111…
…1111100101100100001
3110201121120102010210000
41323332233330230201
54140113442013441
6141053355530213
712421624560615
oct1737657745441
9421546363700
10133123001121
11515035110a0
1221972759969
13c726bc3ca6
14662c16d345
1536e21022b6
hex1efebfcb21

133123001121 has 80 divisors (see below), whose sum is σ = 222970397760. Its totient is φ = 78455018880.

The previous prime is 133123001119. The next prime is 133123001171. The reversal of 133123001121 is 121100321331.

133123001121 is a `hidden beast` number, since 1 + 331 + 2 + 300 + 11 + 21 = 666.

It is not a de Polignac number, because 133123001121 - 21 = 133123001119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133123001094 and 133123001103.

It is not an unprimeable number, because it can be changed into a prime (133123001171) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8766091 + ... + 8781263.

It is an arithmetic number, because the mean of its divisors is an integer number (2787129972).

Almost surely, 2133123001121 is an apocalyptic number.

133123001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133123001121 is a deficient number, since it is larger than the sum of its proper divisors (89847396639).

133123001121 is a wasteful number, since it uses less digits than its factorization.

133123001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15468 (or 15459 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133123001121 its reverse (121100321331), we get a palindrome (254223322452).

The spelling of 133123001121 in words is "one hundred thirty-three billion, one hundred twenty-three million, one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 43 81 99 129 229 297 387 473 687 891 1161 1419 2061 2519 3483 4257 6183 7557 9847 12771 15173 18549 22671 29541 38313 45519 68013 88623 108317 136557 166903 204039 265869 324951 409671 500709 652439 797607 974853 1229013 1502127 1957317 2924559 3474617 4506381 5871951 7176829 8773677 10423851 13519143 17615853 21530487 31271553 38220787 52847559 64591461 93814659 114662361 149408531 193774383 281443977 343987083 448225593 581323149 1031961249 1344676779 1643493841 3095883747 4034030337 4930481523 12102091011 14791444569 44374333707 133123001121