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2432132042013 = 333167197220151
BaseRepresentation
bin100011011001000110010…
…111011100110100011101
322121111202110112002011000
4203121012113130310131
5304322001300321023
65101150034220513
7340500333153612
oct43310627346435
98544673462130
102432132042013
1185850914aa03
12333444124739
1314846cb93c0b
1485a042c8509
15433ea796243
hex236465dcd1d

2432132042013 has 64 divisors (see below), whose sum is σ = 3794081955840. Its totient is φ = 1537844616000.

The previous prime is 2432132042003. The next prime is 2432132042027. The reversal of 2432132042013 is 3102402312342.

2432132042013 is a `hidden beast` number, since 2 + 4 + 3 + 213 + 20 + 420 + 1 + 3 = 666.

It is not a de Polignac number, because 2432132042013 - 26 = 2432132041949 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432132042003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10937488 + ... + 11157638.

It is an arithmetic number, because the mean of its divisors is an integer number (59282530560).

Almost surely, 22432132042013 is an apocalyptic number.

It is an amenable number.

2432132042013 is a deficient number, since it is larger than the sum of its proper divisors (1361949913827).

2432132042013 is a wasteful number, since it uses less digits than its factorization.

2432132042013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220455 (or 220449 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2432132042013 its reverse (3102402312342), we get a palindrome (5534534354355).

The spelling of 2432132042013 in words is "two trillion, four hundred thirty-two billion, one hundred thirty-two million, forty-two thousand, thirteen".

Divisors: 1 3 9 27 31 67 93 197 201 279 591 603 837 1773 1809 2077 5319 6107 6231 13199 18321 18693 39597 54963 56079 118791 164889 220151 356373 409169 660453 1227507 1981359 3682521 5944077 6824681 11047563 14750117 20474043 43369747 44250351 61422129 130109241 132751053 184266387 390327723 398253159 457253627 1170983169 1344462157 1371760881 2905773049 4033386471 4115282643 8717319147 12100159413 12345847929 26151957441 36300478239 78455872323 90078964519 270236893557 810710680671 2432132042013