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20240103313232 = 24112979261719181
BaseRepresentation
bin1001001101000100001000…
…01010110000111101010000
32122122221020121012120202122
410212202010022300331100
510123103212422010412
6111014101453233412
74156204425351305
oct446420412607520
978587217176678
1020240103313232
1164a3863731010
12232a801792868
13b3a830bb904a
144dd8aa5210ac
15251758ded572
hex1268842b0f50

20240103313232 has 160 divisors (see below), whose sum is σ = 44835055372800. Its totient is φ = 8766555033600.

The previous prime is 20240103313219. The next prime is 20240103313259. The reversal of 20240103313232 is 23231330104202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 1055206682 + ... + 1055225862.

It is an arithmetic number, because the mean of its divisors is an integer number (280219096080).

Almost surely, 220240103313232 is an apocalyptic number.

20240103313232 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 20240103313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417527686400).

20240103313232 is an abundant number, since it is smaller than the sum of its proper divisors (24594952059568).

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

20240103313232 is a wasteful number, since it uses less digits than its factorization.

20240103313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21925 (or 21919 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 20240103313232 its reverse (23231330104202), we get a palindrome (43471433417434).

The spelling of 20240103313232 in words is "twenty trillion, two hundred forty billion, one hundred three million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 79 88 116 158 176 232 316 319 464 632 638 869 1264 1276 1738 2291 2552 2617 3476 4582 5104 5234 6952 9164 10468 13904 18328 19181 20936 25201 28787 36656 38362 41872 50402 57574 75893 76724 100804 115148 151786 153448 201608 206743 210991 230296 303572 306896 403216 413486 421982 460592 556249 607144 826972 834823 843964 1112498 1214288 1515299 1653944 1669646 1687928 2224996 2274173 3030598 3307888 3339292 3375856 4449992 4548346 5995547 6061196 6118739 6678584 8899984 9096692 11991094 12122392 12237478 13357168 16668289 18193384 23982188 24244784 24474956 33336578 36386768 43943671 47964376 48949912 50196677 65951017 66673156 87887342 95928752 97899824 100393354 131902034 133346312 175774684 200786708 263804068 266692624 351549368 401573416 483380381 527608136 552163447 703098736 803146832 966760762 1055216272 1104326894 1455703633 1933521524 2208653788 2911407266 3867043048 3965537483 4417307576 5822814532 7734086096 7931074966 8834615152 11645629064 15862149932 16012739963 23291258128 31724299864 32025479926 43620912313 63448599728 64050959852 87241824626 115000587007 128101919704 174483649252 230001174014 256203839408 348967298504 460002348028 697934597008 920004696056 1265006457077 1840009392112 2530012914154 5060025828308 10120051656616 20240103313232