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20123033200 = 2452317158699
BaseRepresentation
bin10010101111011011…
…010001111001110000
31220221102001000001221
4102233123101321300
5312202444030300
613124442234424
71311444650164
oct225733217160
956842030057
1020123033200
118596a22756
123a971b5a14
131b8902434a
14d8c790ca4
157cb97031a
hex4af6d1e70

20123033200 has 60 divisors (see below), whose sum is σ = 48498402600. Its totient is φ = 8023770880.

The previous prime is 20123033173. The next prime is 20123033207. The reversal of 20123033200 is 233032102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123033207) 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 11 ways as a sum of consecutive naturals, for example, 47451 + ... + 206149.

It is an arithmetic number, because the mean of its divisors is an integer number (808306710).

Almost surely, 220123033200 is an apocalyptic number.

20123033200 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 20123033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249201300).

20123033200 is an abundant number, since it is smaller than the sum of its proper divisors (28375369400).

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

20123033200 is a wasteful number, since it uses less digits than its factorization.

20123033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159034 (or 159023 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20123033200 its reverse (233032102), we get a palindrome (20356065302).

The spelling of 20123033200 in words is "twenty billion, one hundred twenty-three million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 317 400 634 1268 1585 2536 3170 5072 6340 7925 12680 15850 25360 31700 63400 126800 158699 317398 634796 793495 1269592 1586990 2539184 3173980 3967475 6347960 7934950 12695920 15869900 31739800 50307583 63479600 100615166 201230332 251537915 402460664 503075830 804921328 1006151660 1257689575 2012303320 2515379150 4024606640 5030758300 10061516600 20123033200