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133113132020 = 225115910255249
BaseRepresentation
bin111101111111000101…
…0010011001111110100
3110201120212211201220202
41323332022103033310
54140103430211040
6141052404220032
712421444645001
oct1737612231764
9421525751822
10133113132020
11514a8990310
122196b39a618
13c724b49b9b
14662ab208a8
1536e1303015
hex1efe2933f4

133113132020 has 48 divisors (see below), whose sum is σ = 310118760000. Its totient is φ = 47584350720.

The previous prime is 133113132011. The next prime is 133113132043. The reversal of 133113132020 is 20231311331.

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 = 133113131983 and 133113132001.

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, 5114645 + ... + 5140604.

It is an arithmetic number, because the mean of its divisors is an integer number (6460807500).

Almost surely, 2133113132020 is an apocalyptic number.

133113132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133113132020 is an abundant number, since it is smaller than the sum of its proper divisors (177005627980).

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

133113132020 is a wasteful number, since it uses less digits than its factorization.

133113132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10255328 (or 10255326 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133113132020 its reverse (20231311331), we get a palindrome (153344443351).

The spelling of 133113132020 in words is "one hundred thirty-three billion, one hundred thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 10255249 20510498 41020996 51276245 102552490 112807739 205104980 225615478 451230956 564038695 605059691 1128077390 1210119382 2256154780 2420238764 3025298455 6050596910 6655656601 12101193820 13311313202 26622626404 33278283005 66556566010 133113132020