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133132223112 = 23373492270641
BaseRepresentation
bin111101111111101001…
…1001000001010001000
3110201122012202122222020
41323333103020022020
54140123322114422
6141054325324440
712422066140110
oct1737723101210
9421565678866
10133132223112
115150873a779
1221975866720
13c728aa26a5
14662d490040
1536e2d2495c
hex1eff4c8288

133132223112 has 64 divisors (see below), whose sum is σ = 381467856000. Its totient is φ = 37928770560.

The previous prime is 133132223111. The next prime is 133132223117. The reversal of 133132223112 is 211322231331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133132223111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076689 + ... + 1193952.

It is an arithmetic number, because the mean of its divisors is an integer number (5960435250).

Almost surely, 2133132223112 is an apocalyptic number.

133132223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133132223112 is an abundant number, since it is smaller than the sum of its proper divisors (248335632888).

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

133132223112 is a wasteful number, since it uses less digits than its factorization.

133132223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271006 (or 2271002 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 133132223112 its reverse (211322231331), we get a palindrome (344454454443).

The spelling of 133132223112 in words is "one hundred thirty-three billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 349 698 1047 1396 2094 2443 2792 4188 4886 7329 8376 9772 14658 19544 29316 58632 2270641 4541282 6811923 9082564 13623846 15894487 18165128 27247692 31788974 47683461 54495384 63577948 95366922 127155896 190733844 381467688 792453709 1584907418 2377361127 3169814836 4754722254 5547175963 6339629672 9509444508 11094351926 16641527889 19018889016 22188703852 33283055778 44377407704 66566111556 133132223112