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12301432220 = 22571117469879
BaseRepresentation
bin10110111010011100…
…01111010110011100
31011202022022111121202
423131032033112130
5200143131312340
65352354215032
7613561306610
oct133516172634
934668274552
1012301432220
115242924110
122473884478
13121074449c
14849a85340
154bee63c15
hex2dd38f59c

12301432220 has 96 divisors (see below), whose sum is σ = 34102010880. Its totient is φ = 3608663040.

The previous prime is 12301432177. The next prime is 12301432267. The reversal of 12301432220 is 2223410321.

It is a super-3 number, since 3×123014322203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12301432192 and 12301432201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208760 + ... + 261119.

It is an arithmetic number, because the mean of its divisors is an integer number (355229280).

Almost surely, 212301432220 is an apocalyptic number.

12301432220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301432220 is an abundant number, since it is smaller than the sum of its proper divisors (21800578660).

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

12301432220 is a wasteful number, since it uses less digits than its factorization.

12301432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469923 (or 469921 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12301432220 its reverse (2223410321), we get a palindrome (14524842541).

The spelling of 12301432220 in words is "twelve billion, three hundred one million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 5236 6545 13090 26180 469879 939758 1879516 2349395 3289153 4698790 5168669 6578306 7987943 9397580 10337338 13156612 15975886 16445765 20674676 25843345 31951772 32891530 36180683 39939715 51686690 55915601 65783060 72361366 79879430 87867373 103373380 111831202 144722732 159758860 175734746 180903415 223662404 279578005 351469492 361806830 439336865 559156010 615071611 723613660 878673730 1118312020 1230143222 1757347460 2460286444 3075358055 6150716110 12301432220