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20330120200 = 23521323393343
BaseRepresentation
bin10010111011110001…
…010000010000001000
31221110211201010000211
4102323301100100020
5313114002321300
613201201010504
71316541112315
oct227361202010
957424633024
1020330120200
118692906235
123b34623a34
131bbcbc0330
14dac099d0c
157dec294ba
hex4bbc50408

20330120200 has 96 divisors (see below), whose sum is σ = 50940489600. Its totient is φ = 7501052160.

The previous prime is 20330120197. The next prime is 20330120201. The reversal of 20330120200 is 202103302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (20330120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6079729 + ... + 6083071.

It is an arithmetic number, because the mean of its divisors is an integer number (530630100).

Almost surely, 220330120200 is an apocalyptic number.

20330120200 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 20330120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25470244800).

20330120200 is an abundant number, since it is smaller than the sum of its proper divisors (30610369400).

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

20330120200 is a wasteful number, since it uses less digits than its factorization.

20330120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20330120200 its reverse (202103302), we get a palindrome (20532223502).

The spelling of 20330120200 in words is "twenty billion, three hundred thirty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2339 2600 3343 4678 6686 9356 11695 13372 16715 18712 23390 26744 30407 33430 43459 46780 58475 60814 66860 83575 86918 93560 116950 121628 133720 152035 167150 173836 217295 233900 243256 304070 334300 347672 434590 467800 608140 668600 760175 869180 1086475 1216280 1520350 1738360 2172950 3040700 4345900 6081400 7819277 8691800 15638554 31277108 39096385 62554216 78192770 101650601 156385540 195481925 203301202 312771080 390963850 406602404 508253005 781927700 813204808 1016506010 1563855400 2033012020 2541265025 4066024040 5082530050 10165060100 20330120200