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10121130222300 = 22335223449362987
BaseRepresentation
bin1001001101001000001001…
…0111110010001011011100
31022211120101222010002212000
42103102002113302023130
52311311033314103200
633305325534042300
72063141020265406
oct223220227621334
938746358102760
1010121130222300
113252390175959
121175662049390
13585559545786
1426dc185ddb76
1512841924e300
hex934825f22dc

10121130222300 has 288 divisors, whose sum is σ = 34027947072000. Its totient is φ = 2575864811520.

The previous prime is 10121130222241. The next prime is 10121130222311. The reversal of 10121130222300 is 322203112101.

10121130222300 is a `hidden beast` number, since 1 + 0 + 12 + 1 + 130 + 222 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27701407 + ... + 28064393.

It is an arithmetic number, because the mean of its divisors is an integer number (118152594000).

Almost surely, 210121130222300 is an apocalyptic number.

10121130222300 is a gapful number since it is divisible by the number (10) 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 10121130222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013973536000).

10121130222300 is an abundant number, since it is smaller than the sum of its proper divisors (23906816849700).

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

10121130222300 is a wasteful number, since it uses less digits than its factorization.

10121130222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363482 (or 363469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121130222300 its reverse (322203112101), we get a palindrome (10443333334401).

The spelling of 10121130222300 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty million, two hundred twenty-two thousand, three hundred".