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100122330000 = 2435471189487
BaseRepresentation
bin101110100111111000…
…0011000001110010000
3100120102200211100110110
41131033300120032100
53120022304030000
6113555013001320
710143060522510
oct1351760301620
9316380740413
10100122330000
1139509499480
12174a2923240
139597c71064
144bbb3c5840
15290ed50850
hex174fc18390

100122330000 has 800 divisors, whose sum is σ = 408325294080. Its totient is φ = 20528640000.

The previous prime is 100122329987. The next prime is 100122330001. The reversal of 100122330000 is 33221001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100122330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 205589757 + ... + 205590243.

Almost surely, 2100122330000 is an apocalyptic number.

100122330000 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 100122330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204162647040).

100122330000 is an abundant number, since it is smaller than the sum of its proper divisors (308202964080).

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

100122330000 is a wasteful number, since it uses less digits than its factorization.

100122330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100122330000 its reverse (33221001), we get a palindrome (100155551001).

The spelling of 100122330000 in words is "one hundred billion, one hundred twenty-two million, three hundred thirty thousand".