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20132221302 = 2341091816299
BaseRepresentation
bin10010101111111110…
…010101000101110110
31220222001022210210000
4102233332111011312
5312212322040202
613125411212130
71311616025514
oct225776250566
956861283700
1020132221302
1185a1128926
123a9a2a7046
131b8abc04ab
14d8daa34b4
157cc68791c
hex4aff95176

20132221302 has 80 divisors (see below), whose sum is σ = 45783738000. Its totient is φ = 6611388480.

The previous prime is 20132221297. The next prime is 20132221309. The reversal of 20132221302 is 20312223102.

20132221302 is a `hidden beast` number, since 20 + 1 + 322 + 21 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132221309) 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, 3192949 + ... + 3199247.

It is an arithmetic number, because the mean of its divisors is an integer number (572296725).

Almost surely, 220132221302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132221302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891869000).

20132221302 is an abundant number, since it is smaller than the sum of its proper divisors (25651516698).

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

20132221302 is a wasteful number, since it uses less digits than its factorization.

20132221302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20132221302 its reverse (20312223102), we get a palindrome (40444444404).

The spelling of 20132221302 in words is "twenty billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 181 218 327 362 543 654 981 1086 1629 1962 2943 3258 4887 5886 6299 8829 9774 12598 14661 17658 18897 19729 29322 37794 39458 56691 59187 113382 118374 170073 177561 340146 355122 510219 532683 686591 1020438 1065366 1140119 1373182 1598049 2059773 2280238 3196098 3420357 4119546 6179319 6840714 10261071 12358638 18537957 20522142 30783213 37075914 55613871 61566426 92349639 111227742 124272971 184699278 248545942 372818913 745637826 1118456739 2236913478 3355370217 6710740434 10066110651 20132221302