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20132333000120 = 23511172691488369
BaseRepresentation
bin1001001001111011011001…
…00011101001010110111000
32122021122001220100102210102
410210331230203221112320
510114322004222000440
6110452355513334532
74145340656662565
oct444755443512670
978248056312712
1020132333000120
116462090147740
122311945707448
13b306176160c3
144d85a550586c
1524da4c938b15
hex124f6c8e95b8

20132333000120 has 64 divisors (see below), whose sum is σ = 52322533912800. Its totient is φ = 6890210222080.

The previous prime is 20132333000119. The next prime is 20132333000183. The reversal of 20132333000120 is 2100033323102.

It is a super-3 number, since 3×201323330001203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20132333000092 and 20132333000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1345736705 + ... + 1345751664.

Almost surely, 220132333000120 is an apocalyptic number.

20132333000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132333000120 is an abundant number, since it is smaller than the sum of its proper divisors (32190200912680).

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

20132333000120 is a wasteful number, since it uses less digits than its factorization.

20132333000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691488408 (or 2691488404 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20132333000120 its reverse (2100033323102), we get a palindrome (22232366323222).

The spelling of 20132333000120 in words is "twenty trillion, one hundred thirty-two billion, three hundred thirty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 2691488369 5382976738 10765953476 13457441845 21531906952 26914883690 29606372059 45755302273 53829767380 59212744118 91510604546 107659534760 118425488236 148031860295 183021209092 228776511365 236850976472 296063720590 366042418184 457553022730 503308325003 592127441180 915106045460 1006616650006 1184254882360 1830212090920 2013233300012 2516541625015 4026466600024 5033083250030 10066166500060 20132333000120