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20013010230132 = 2234193555757593
BaseRepresentation
bin1001000110011101001000…
…10111011001101101110100
32121212020002002111200020000
410203032210113121231310
510110343121104331012
6110321503332311300
74133615023114653
oct443164427315564
977766062450200
1020013010230132
11641651959a547
1222b27a4772530
13b222ac827c6a
144d28c60cb19a
1524a8b7158ddc
hex1233a45d9b74

20013010230132 has 120 divisors (see below), whose sum is σ = 52599416297736. Its totient is φ = 6635129167872.

The previous prime is 20013010230077. The next prime is 20013010230163. The reversal of 20013010230132 is 23103201031002.

20013010230132 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 301 + 0 + 230 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2471957484516 + 17541052745616 = 1572246^2 + 4188204^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 347461528 + ... + 347519120.

Almost surely, 220013010230132 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 20013010230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26299708148868).

20013010230132 is an abundant number, since it is smaller than the sum of its proper divisors (32586406067604).

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

20013010230132 is a wasteful number, since it uses less digits than its factorization.

20013010230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63359 (or 63348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20013010230132 its reverse (23103201031002), we get a palindrome (43116211261134).

The spelling of 20013010230132 in words is "twenty trillion, thirteen billion, ten million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 579 772 1158 1737 2316 3474 5211 5557 6948 10422 11114 15633 16671 20844 22228 31266 33342 50013 57593 62532 66684 100026 115186 150039 172779 200052 230372 300078 345558 450117 518337 600156 691116 900234 1036674 1072501 1555011 1800468 2073348 2145002 3110022 3217503 4290004 4665033 6220044 6435006 9330066 9652509 11115449 12870012 18660132 19305018 22230898 28957527 33346347 38610036 44461796 57915054 66692694 86872581 100039041 115830108 133385388 173745162 200078082 300117123 320044301 347490324 400156164 600234246 640088602 900351369 960132903 1200468492 1280177204 1800702738 1920265806 2880398709 3601405476 3840531612 5760797418 8641196127 11521594836 17282392254 25923588381 34564784508 51847176762 61768550093 103694353524 123537100186 185305650279 247074200372 370611300558 555916950837 741222601116 1111833901674 1667750852511 2223667803348 3335501705022 5003252557533 6671003410044 10006505115066 20013010230132