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20123220000100 = 22527233133993257
BaseRepresentation
bin1001001001101010011010…
…11000010011110101100100
32122020202112210122001220011
410210311031120103311210
510114144323310000400
6110444251334220004
74144566102523450
oct444651530236544
978222483561804
1020123220000100
116459234095968
1223100217b4604
13b2c7c46200b9
144d7d7d0b7660
1524d6b788a8ba
hex124d4d613d64

20123220000100 has 144 divisors (see below), whose sum is σ = 52241781811968. Its totient is φ = 6578330204160.

The previous prime is 20123220000089. The next prime is 20123220000151. The reversal of 20123220000100 is 100002232102.

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, 3042672 + ... + 7035928.

It is an arithmetic number, because the mean of its divisors is an integer number (362790151472).

Almost surely, 220123220000100 is an apocalyptic number.

20123220000100 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 20123220000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26120890905984).

20123220000100 is an abundant number, since it is smaller than the sum of its proper divisors (32118561811868).

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

20123220000100 is a wasteful number, since it uses less digits than its factorization.

20123220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993614 (or 3993607 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20123220000100 its reverse (100002232102), we get a palindrome (20223222232202).

The spelling of 20123220000100 in words is "twenty trillion, one hundred twenty-three billion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 313 322 350 460 575 626 644 700 805 1150 1252 1565 1610 2191 2300 3130 3220 4025 4382 6260 7199 7825 8050 8764 10955 14398 15650 16100 21910 28796 31300 35995 43820 50393 54775 71990 100786 109550 143980 179975 201572 219100 251965 359950 503930 719900 1007860 1259825 2519650 3993257 5039300 7986514 15973028 19966285 27952799 39932570 55905598 79865140 91844911 99831425 111811196 139763995 183689822 199662850 279527990 367379644 399325700 459224555 559055980 642914377 698819975 918449110 1249889441 1285828754 1397639950 1836898220 2296122775 2499778882 2571657508 2795279900 3214571885 4592245550 4999557764 6249447205 6429143770 8749226087 9184491100 12498894410 12858287540 16072859425 17498452174 24997788820 28747457143 31247236025 32145718850 34996904348 43746130435 57494914286 62494472050 64291437700 87492260870 114989828572 124988944100 143737285715 174984521740 201232200001 218730652175 287474571430 402464400002 437461304350 574949142860 718686428575 804928800004 874922608700 1006161000005 1437372857150 2012322000010 2874745714300 4024644000020 5030805000025 10061610000050 20123220000100