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23353130000 = 24546613533
BaseRepresentation
bin10101101111111101…
…000111110000010000
32020021112000220212202
4111233331013300100
5340311400130000
614421150342332
71454466221054
oct255775076020
966245026782
1023353130000
1199a4262242
124638aba9a8
13228229cc25
1411b7771c64
1591a315dd5
hex56ff47c10

23353130000 has 100 divisors (see below), whose sum is σ = 56641828188. Its totient is φ = 9324480000.

The previous prime is 23353129909. The next prime is 23353130023. The reversal of 23353130000 is 3135332.

It can be written as a sum of positive squares in 10 ways, for example, as 10613944576 + 12739185424 = 103024^2 + 112868^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6608234 + ... + 6611766.

Almost surely, 223353130000 is an apocalyptic number.

23353130000 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 23353130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28320914094).

23353130000 is an abundant number, since it is smaller than the sum of its proper divisors (33288698188).

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

23353130000 is an equidigital number, since it uses as much as digits as its factorization.

23353130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 23353130000 its reverse (3135332), we get a palindrome (23356265332).

The spelling of 23353130000 in words is "twenty-three billion, three hundred fifty-three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 661 1000 1250 1322 2000 2500 2644 3305 3533 5000 5288 6610 7066 10000 10576 13220 14132 16525 17665 26440 28264 33050 35330 52880 56528 66100 70660 82625 88325 132200 141320 165250 176650 264400 282640 330500 353300 413125 441625 661000 706600 826250 883250 1322000 1413200 1652500 1766500 2208125 2335313 3305000 3533000 4416250 4670626 6610000 7066000 8832500 9341252 11676565 17665000 18682504 23353130 35330000 37365008 46706260 58382825 93412520 116765650 186825040 233531300 291914125 467062600 583828250 934125200 1167656500 1459570625 2335313000 2919141250 4670626000 5838282500 11676565000 23353130000