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23103302220 = 22335401106693
BaseRepresentation
bin10101100001000100…
…000110101001001100
32012122002221100121000
4111201010012221030
5334303421132340
614340303540300
71445343554145
oct254104065114
965562840530
1023103302220
1198862369a9
1245892ba690
1322425baa3b
1411924dcacc
15903417d30
hex561106a4c

23103302220 has 96 divisors (see below), whose sum is σ = 72056859840. Its totient is φ = 6145459200.

The previous prime is 23103302219. The next prime is 23103302221. The reversal of 23103302220 is 2220330132.

It is a happy number.

23103302220 is a `hidden beast` number, since 2 + 310 + 330 + 2 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (23103302219) and next prime (23103302221).

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

It is a junction number, because it is equal to n+sod(n) for n = 23103302193 and 23103302202.

It is not an unprimeable number, because it can be changed into a prime (23103302221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163194 + ... + 269886.

It is an arithmetic number, because the mean of its divisors is an integer number (750592290).

Almost surely, 223103302220 is an apocalyptic number.

23103302220 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 23103302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36028429920).

23103302220 is an abundant number, since it is smaller than the sum of its proper divisors (48953557620).

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

23103302220 is a wasteful number, since it uses less digits than its factorization.

23103302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107112 (or 107104 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23103302220 its reverse (2220330132), we get a palindrome (25323632352).

The spelling of 23103302220 in words is "twenty-three billion, one hundred three million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 401 540 802 1203 1604 2005 2406 3609 4010 4812 6015 7218 8020 10827 12030 14436 18045 21654 24060 36090 43308 54135 72180 106693 108270 213386 216540 320079 426772 533465 640158 960237 1066930 1280316 1600395 1920474 2133860 2880711 3200790 3840948 4801185 5761422 6401580 9602370 11522844 14403555 19204740 28807110 42783893 57614220 85567786 128351679 171135572 213919465 256703358 385055037 427838930 513406716 641758395 770110074 855677860 1155165111 1283516790 1540220148 1925275185 2310330222 2567033580 3850550370 4620660444 5775825555 7701100740 11551651110 23103302220