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20303033432 = 231123107241389
BaseRepresentation
bin10010111010001001…
…111011010001011000
31221101221201221222012
4102322021323101120
5313040034032212
613154352245052
71316061636203
oct227211732130
957357657865
1020303033432
118679595580
123b27540788
131bb73c8366
14da864893a
157dc678922
hex4ba27b458

20303033432 has 128 divisors (see below), whose sum is σ = 44033932800. Its totient is φ = 8686233600.

The previous prime is 20303033341. The next prime is 20303033437. The reversal of 20303033432 is 23433030302.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 20303033398 and 20303033407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303033437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52192694 + ... + 52193082.

It is an arithmetic number, because the mean of its divisors is an integer number (344015100).

Almost surely, 220303033432 is an apocalyptic number.

20303033432 is a gapful number since it is divisible by the number (22) 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 20303033432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016966400).

20303033432 is an abundant number, since it is smaller than the sum of its proper divisors (23730899368).

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

20303033432 is a wasteful number, since it uses less digits than its factorization.

20303033432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 20303033432 its reverse (23433030302), we get a palindrome (43736063734).

The spelling of 20303033432 in words is "twenty billion, three hundred three million, thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 107 184 214 241 253 389 428 482 506 778 856 964 1012 1177 1556 1928 2024 2354 2461 2651 3112 4279 4708 4922 5302 5543 8558 8947 9416 9844 10604 11086 17116 17894 19688 21208 22172 25787 27071 34232 35788 41623 44344 51574 54142 60973 71576 83246 93749 98417 103148 108284 121946 166492 187498 196834 206296 216568 243892 283657 332984 374996 393668 457853 487784 567314 593101 749992 787336 915706 957329 1031239 1134628 1186202 1831412 1914658 2062478 2156227 2269256 2372404 3662824 3829316 4124956 4312454 4744808 6524111 7658632 8249912 8624908 10031143 10530619 13048222 17249816 20062286 21061238 23718497 26096444 40124572 42122476 47436994 52192888 80249144 84244952 94873988 110342573 189747976 220685146 230716289 441370292 461432578 882740584 922865156 1845730312 2537879179 5075758358 10151516716 20303033432