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20433533130 = 23253159124133
BaseRepresentation
bin10011000001111011…
…101111100011001010
31221202001022000220100
4103001323233203022
5313321441030010
613215333310230
71322235110613
oct230173574312
957661260810
1020433533130
11873621896a
123b63195376
131c0845a40a
14dbbad8c0a
157e8d552c0
hex4c1eef8ca

20433533130 has 96 divisors (see below), whose sum is σ = 55770923520. Its totient is φ = 5183752320.

The previous prime is 20433533123. The next prime is 20433533143. The reversal of 20433533130 is 3133533402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20433533094 and 20433533103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102544 + ... + 226676.

It is an arithmetic number, because the mean of its divisors is an integer number (580947120).

Almost surely, 220433533130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433533130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885461760).

20433533130 is an abundant number, since it is smaller than the sum of its proper divisors (35337390390).

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

20433533130 is a wasteful number, since it uses less digits than its factorization.

20433533130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124236 (or 124233 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The spelling of 20433533130 in words is "twenty billion, four hundred thirty-three million, five hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 59 62 90 93 118 155 177 186 279 295 310 354 465 531 558 590 885 930 1062 1395 1770 1829 2655 2790 3658 5310 5487 9145 10974 16461 18290 27435 32922 54870 82305 124133 164610 248266 372399 620665 744798 1117197 1241330 1861995 2234394 3723990 3848123 5585985 7323847 7696246 11171970 11544369 14647694 19240615 21971541 23088738 34633107 36619235 38481230 43943082 57721845 65914623 69266214 73238470 109857705 115443690 131829246 173165535 219715410 227039257 329573115 346331070 454078514 659146230 681117771 1135196285 1362235542 2043353313 2270392570 3405588855 4086706626 6811177710 10216766565 20433533130