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20310304402432 = 210112199823717
BaseRepresentation
bin1001001111000110111000…
…11110101010110000000000
32122220122110000221102011101
410213203130132222300000
510130231000411334212
6111110231450224144
74164241163642662
oct447433436526000
978818400842141
1020310304402432
11652060838a400
122340333a25054
13b4433abac695
14503049b20532
152534b6ed1157
hex1278dc7aac00

20310304402432 has 132 divisors (see below), whose sum is σ = 44851609843600. Its totient is φ = 9185553653760.

The previous prime is 20310304402429. The next prime is 20310304402439. The reversal of 20310304402432 is 23420440301302.

It is a self number, because there is not a number n which added to its sum of digits gives 20310304402432.

It is not an unprimeable number, because it can be changed into a prime (20310304402439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24245038 + ... + 25068754.

Almost surely, 220310304402432 is an apocalyptic number.

20310304402432 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 20310304402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22425804921800).

20310304402432 is an abundant number, since it is smaller than the sum of its proper divisors (24541305441168).

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

20310304402432 is a wasteful number, since it uses less digits than its factorization.

20310304402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823958 (or 823929 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20310304402432 its reverse (23420440301302), we get a palindrome (43730744703734).

The spelling of 20310304402432 in words is "twenty trillion, three hundred ten billion, three hundred four million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 199 242 256 352 398 484 512 704 796 968 1024 1408 1592 1936 2189 2816 3184 3872 4378 5632 6368 7744 8756 11264 12736 15488 17512 24079 25472 30976 35024 48158 50944 61952 70048 96316 101888 123904 140096 192632 203776 280192 385264 560384 770528 823717 1120768 1541056 1647434 2241536 3082112 3294868 6164224 6589736 9060887 12328448 13179472 18121774 24656896 26358944 36243548 52717888 72487096 99669757 105435776 144974192 163919683 199339514 210871552 289948384 327839366 398679028 421743104 579896768 655678732 797358056 843486208 1159793536 1311357464 1594716112 1803116513 2319587072 2622714928 3189432224 3606233026 4639174144 5245429856 6378864448 7212466052 9278348288 10490859712 12757728896 14424932104 19834281643 20981719424 25515457792 28849864208 39668563286 41963438848 51030915584 57699728416 79337126572 83926877696 102061831168 115399456832 158674253144 167853755392 230798913664 317348506288 461597827328 634697012576 923195654656 1269394025152 1846391309312 2538788050304 5077576100608 10155152201216 20310304402432