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2303002330100 = 2252171354707253
BaseRepresentation
bin100001100000110101101…
…000101100001111110100
322011011110012012001100022
4201200311220230033310
5300213022044030400
64521552404304312
7325246354546403
oct41406550541764
98134405161308
102303002330100
1180877485a12a
123124069a2098
131392313b1c64
147d67464363a
153ed8e040b85
hex21835a2c3f4

2303002330100 has 36 divisors (see below), whose sum is σ = 5291486534124. Its totient is φ = 867012641280.

The previous prime is 2303002330067. The next prime is 2303002330147. The reversal of 2303002330100 is 10332003032.

It can be written as a sum of positive squares in 6 ways, for example, as 83152643044 + 2219849687056 = 288362^2 + 1489916^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 677351927 + ... + 677355326.

It is an arithmetic number, because the mean of its divisors is an integer number (146985737059).

Almost surely, 22303002330100 is an apocalyptic number.

2303002330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2303002330100 is an abundant number, since it is smaller than the sum of its proper divisors (2988484204024).

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

2303002330100 is a wasteful number, since it uses less digits than its factorization.

2303002330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354707284 (or 1354707277 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 2303002330100 its reverse (10332003032), we get a palindrome (2313334333132).

The spelling of 2303002330100 in words is "two trillion, three hundred three billion, two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1354707253 2709414506 5418829012 6773536265 13547072530 23030023301 27094145060 33867681325 46060046602 67735362650 92120093204 115150116505 135470725300 230300233010 460600466020 575750582525 1151501165050 2303002330100