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20433201100 = 22521337342139
BaseRepresentation
bin10011000001111010…
…011110011111001100
31221202000200011102221
4103001322132133030
5313321344413400
613215322225124
71322232225604
oct230172363714
957660604387
1020433201100
118736011464
123b630551a4
131c08372250
14dbba4dc04
157e8cdbc1a
hex4c1e9e7cc

20433201100 has 72 divisors (see below), whose sum is σ = 47879973680. Its totient is φ = 7524161280.

The previous prime is 20433201077. The next prime is 20433201109. The reversal of 20433201100 is 110233402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20433201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463831 + ... + 505969.

Almost surely, 220433201100 is an apocalyptic number.

20433201100 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 20433201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23939986840).

20433201100 is an abundant number, since it is smaller than the sum of its proper divisors (27446772580).

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

20433201100 is a wasteful number, since it uses less digits than its factorization.

20433201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42539 (or 42532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20433201100 its reverse (110233402), we get a palindrome (20543434502).

The spelling of 20433201100 in words is "twenty billion, four hundred thirty-three million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 373 650 746 1300 1492 1865 3730 4849 7460 9325 9698 18650 19396 24245 37300 42139 48490 84278 96980 121225 168556 210695 242450 421390 484900 547807 842780 1053475 1095614 2106950 2191228 2739035 4213900 5478070 10956140 13695175 15717847 27390350 31435694 54780700 62871388 78589235 157178470 204332011 314356940 392946175 408664022 785892350 817328044 1021660055 1571784700 2043320110 4086640220 5108300275 10216600550 20433201100