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23305030100 = 22521173928669
BaseRepresentation
bin10101101101000101…
…101000100111010100
32020011011112012012222
4111231011220213110
5340212041430400
614412311401512
71453343326112
oct255505504724
966134465188
1023305030100
11997a09a060
124624983298
13227532b651
1411b1210ab2
15915eb4185
hex56d1689d4

23305030100 has 72 divisors (see below), whose sum is σ = 55245943200. Its totient is φ = 8462793600.

The previous prime is 23305030081. The next prime is 23305030109. The reversal of 23305030100 is 103050332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23305030109) 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 23 ways as a sum of consecutive naturals, for example, 798566 + ... + 827234.

Almost surely, 223305030100 is an apocalyptic number.

23305030100 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 23305030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27622971600).

23305030100 is an abundant number, since it is smaller than the sum of its proper divisors (31940913100).

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

23305030100 is a wasteful number, since it uses less digits than its factorization.

23305030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29433 (or 29426 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

Adding to 23305030100 its reverse (103050332), we get a palindrome (23408080432).

The spelling of 23305030100 in words is "twenty-three billion, three hundred five million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 739 1100 1478 2956 3695 7390 8129 14780 16258 18475 28669 32516 36950 40645 57338 73900 81290 114676 143345 162580 203225 286690 315359 406450 573380 630718 716725 812900 1261436 1433450 1576795 2866900 3153590 6307180 7883975 15767950 21186391 31535900 42372782 84745564 105931955 211863910 233050301 423727820 466100602 529659775 932201204 1059319550 1165251505 2118639100 2330503010 4661006020 5826257525 11652515050 23305030100