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101124323300 = 225273111353389
BaseRepresentation
bin101111000101101111…
…0101011011111100100
3100200000112020212212102
41132023132223133210
53124100311321200
6114242245111232
710206645365000
oct1361336533744
9320015225772
10101124323300
1139983053910
12177223b8518
1396c77285c0
144c744d1700
15296ccc76d5
hex178b7ab7e4

101124323300 has 576 divisors, whose sum is σ = 307105344000. Its totient is φ = 28472371200.

The previous prime is 101124323297. The next prime is 101124323323. The reversal of 101124323300 is 3323421101.

It is a super-2 number, since 2×1011243233002 (a number of 23 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259959506 + ... + 259959894.

It is an arithmetic number, because the mean of its divisors is an integer number (533169000).

Almost surely, 2101124323300 is an apocalyptic number.

101124323300 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 101124323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672000).

101124323300 is an abundant number, since it is smaller than the sum of its proper divisors (205981020700).

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

101124323300 is a wasteful number, since it uses less digits than its factorization.

101124323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101124323300 its reverse (3323421101), we get a palindrome (104447744401).

It can be divided in two parts, 101124 and 323300, that added together give a palindrome (424424).

The spelling of 101124323300 in words is "one hundred one billion, one hundred twenty-four million, three hundred twenty-three thousand, three hundred".