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2023132332132 = 223433748738047
BaseRepresentation
bin11101011100001100000…
…101011000000001100100
321011102001120102002010000
4131130030011120001210
5231121333334112012
64145225243101300
7266111051040432
oct35341405300144
97142046362100
102023132332132
1171000750534a
1228811ab11830
13118a1bb77672
146dcc4b87d52
153795dc2bddc
hex1d70c158064

2023132332132 has 120 divisors (see below), whose sum is σ = 5315593547264. Its totient is φ = 670978038528.

The previous prime is 2023132332073. The next prime is 2023132332139. The reversal of 2023132332132 is 2312332313202.

2023132332132 is a `hidden beast` number, since 2 + 0 + 2 + 313 + 2 + 332 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2023132332096 and 2023132332105.

It is not an unprimeable number, because it can be changed into a prime (2023132332139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53155533 + ... + 53193579.

Almost surely, 22023132332132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023132332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657796773632).

2023132332132 is an abundant number, since it is smaller than the sum of its proper divisors (3292461215132).

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

2023132332132 is a wasteful number, since it uses less digits than its factorization.

2023132332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38887 (or 38876 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2023132332132 its reverse (2312332313202), we get a palindrome (4335464645334).

The spelling of 2023132332132 in words is "two trillion, twenty-three billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 337 487 674 974 1011 1348 1461 1948 2022 2922 3033 4044 4383 5844 6066 8766 9099 12132 13149 17532 18198 26298 27297 36396 38047 39447 52596 54594 76094 78894 109188 114141 152188 157788 164119 228282 328238 342423 456564 492357 656476 684846 984714 1027269 1369692 1477071 1969428 2054538 2954142 3081807 4109076 4431213 5908284 6163614 8862426 12327228 12821839 13293639 17724852 18528889 25643678 26587278 37057778 38465517 51287356 53174556 55586667 74115556 76931034 111173334 115396551 153862068 166760001 222346668 230793102 333520002 346189653 461586204 500280003 667040004 692379306 1000560006 1038568959 1384758612 1500840009 2001120012 2077137918 3001680018 4154275836 6003360036 6244235593 12488471186 18732706779 24976942372 37465413558 56198120337 74930827116 112396240674 168594361011 224792481348 337188722022 505783083033 674377444044 1011566166066 2023132332132