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20330132100 = 22352421160967
BaseRepresentation
bin10010111011110001…
…010011001010000100
31221110211201201100120
4102323301103022010
5313114003211400
613201201141540
71316541162105
oct227361231204
957424651316
1020330132100
118692914173
123b3462a8b0
131bbcbc5885
14dac0a03ac
157dec2cca0
hex4bbc53284

20330132100 has 72 divisors (see below), whose sum is σ = 58961934528. Its totient is φ = 5408457600.

The previous prime is 20330132089. The next prime is 20330132111. The reversal of 20330132100 is 123103302.

It is an interprime number because it is at equal distance from previous prime (20330132089) and next prime (20330132111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20330132100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45817 + ... + 206783.

Almost surely, 220330132100 is an apocalyptic number.

20330132100 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 20330132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480967264).

20330132100 is an abundant number, since it is smaller than the sum of its proper divisors (38631802428).

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

20330132100 is a wasteful number, since it uses less digits than its factorization.

20330132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161405 (or 161398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20330132100 its reverse (123103302), we get a palindrome (20453235402).

The spelling of 20330132100 in words is "twenty billion, three hundred thirty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 421 842 1263 1684 2105 2526 4210 5052 6315 8420 10525 12630 21050 25260 31575 42100 63150 126300 160967 321934 482901 643868 804835 965802 1609670 1931604 2414505 3219340 4024175 4829010 8048350 9658020 12072525 16096700 24145050 48290100 67767107 135534214 203301321 271068428 338835535 406602642 677671070 813205284 1016506605 1355342140 1694177675 2033013210 3388355350 4066026420 5082533025 6776710700 10165066050 20330132100