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20242132020 = 223251147217517
BaseRepresentation
bin10010110110100001…
…100110110000110100
31221020201010211221100
4102312201212300310
5312423441211040
613144335050100
71314422166105
oct226641466064
957221124840
1020242132020
118648179430
123b0b070930
131ba78c4016
14da05143ac
157d7148b30
hex4b6866c34

20242132020 has 144 divisors (see below), whose sum is σ = 68408540928. Its totient is φ = 4802753280.

The previous prime is 20242131977. The next prime is 20242132039. The reversal of 20242132020 is 2023124202.

20242132020 is a `hidden beast` number, since 202 + 421 + 3 + 20 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20242131984 and 20242132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15699 + ... + 201818.

It is an arithmetic number, because the mean of its divisors is an integer number (475059312).

Almost surely, 220242132020 is an apocalyptic number.

20242132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20242132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34204270464).

20242132020 is an abundant number, since it is smaller than the sum of its proper divisors (48166408908).

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

20242132020 is a wasteful number, since it uses less digits than its factorization.

20242132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217590 (or 217585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20242132020 its reverse (2023124202), we get a palindrome (22265256222).

The spelling of 20242132020 in words is "twenty billion, two hundred forty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 15510 18612 23265 31020 46530 93060 217517 435034 652551 870068 1087585 1305102 1957653 2175170 2392687 2610204 3262755 3915306 4350340 4785374 6525510 7178061 7830612 9570748 9788265 10223299 11963435 13051020 14356122 19576530 20446598 21534183 23926870 28712244 30669897 35890305 39153060 40893196 43068366 47853740 51116495 61339794 71780610 86136732 92009691 102232990 107670915 112456289 122679588 143561220 153349485 184019382 204465980 215341830 224912578 306698970 337368867 368038764 430683660 449825156 460048455 562281445 613397940 674737734 920096910 1012106601 1124562890 1349475468 1686844335 1840193820 2024213202 2249125780 3373688670 4048426404 5060533005 6747377340 10121066010 20242132020