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133131033012 = 223173171296503
BaseRepresentation
bin111101111111100111…
…0100101100110110100
3110201122010112012110110
41323333032211212310
54140123021024022
6141054244023020
712422053052325
oct1737716454664
9421563465413
10133131033012
1151507aa761a
1221975391a70
13c728776aa3
14662d26044c
1536e2b8c00c
hex1eff3a59b4

133131033012 has 96 divisors (see below), whose sum is σ = 344305188864. Its totient is φ = 39849868800.

The previous prime is 133131033001. The next prime is 133131033019. The reversal of 133131033012 is 210330131331.

It is a self number, because there is not a number n which added to its sum of digits gives 133131033012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131033019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300753 + ... + 597255.

It is an arithmetic number, because the mean of its divisors is an integer number (3586512384).

Almost surely, 2133131033012 is an apocalyptic number.

133131033012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133131033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172152594432).

133131033012 is an abundant number, since it is smaller than the sum of its proper divisors (211174155852).

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

133131033012 is a wasteful number, since it uses less digits than its factorization.

133131033012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296629 (or 296627 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133131033012 its reverse (210330131331), we get a palindrome (343461164343).

The spelling of 133131033012 in words is "one hundred thirty-three billion, one hundred thirty-one million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 71 93 102 124 142 186 204 213 284 372 426 527 852 1054 1207 1581 2108 2201 2414 3162 3621 4402 4828 6324 6603 7242 8804 13206 14484 26412 37417 74834 112251 149668 224502 296503 449004 593006 889509 1186012 1779018 3558036 5040551 9191593 10081102 15121653 18383186 20162204 21051713 27574779 30243306 36766372 42103426 55149558 60486612 63155139 84206852 110299116 126310278 156257081 252620556 312514162 357879121 468771243 625028324 652603103 715758242 937542486 1073637363 1305206206 1431516484 1875084972 1957809309 2147274726 2610412412 3915618618 4294549452 7831237236 11094252751 22188505502 33282758253 44377011004 66565516506 133131033012