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1230110223320 = 2351115138348341
BaseRepresentation
bin10001111001101000010…
…010000110101111011000
311100121010111101221022202
4101321220102012233120
5130123231204121240
62341034351105332
7154605164243456
oct21715022065730
94317114357282
101230110223320
11434761174580
1217a4a1512248
138bcca7629b4
14437754659d6
1521ee8338315
hex11e68486bd8

1230110223320 has 128 divisors (see below), whose sum is σ = 3047355924480. Its totient is φ = 443181120000.

The previous prime is 1230110223281. The next prime is 1230110223359. The reversal of 1230110223320 is 233220110321.

It is an interprime number because it is at equal distance from previous prime (1230110223281) and next prime (1230110223359).

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 = 1230110223292 and 1230110223301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25422350 + ... + 25470690.

It is an arithmetic number, because the mean of its divisors is an integer number (23807468160).

Almost surely, 21230110223320 is an apocalyptic number.

1230110223320 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 1230110223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523677962240).

1230110223320 is an abundant number, since it is smaller than the sum of its proper divisors (1817245701160).

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

1230110223320 is a wasteful number, since it uses less digits than its factorization.

1230110223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48897 (or 48893 counting only the distinct ones).

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

Adding to 1230110223320 its reverse (233220110321), we get a palindrome (1463330333641).

The spelling of 1230110223320 in words is "one trillion, two hundred thirty billion, one hundred ten million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 383 440 604 755 766 1208 1510 1532 1661 1915 3020 3064 3322 3830 4213 6040 6644 7660 8305 8426 13288 15320 16610 16852 21065 33220 33704 42130 48341 57833 66440 84260 96682 115666 168520 193364 231332 241705 289165 386728 462664 483410 531751 578330 636163 966820 1063502 1156660 1272326 1933640 2127004 2313320 2544652 2658755 3180815 4254008 5089304 5317510 6361630 7299491 10635020 12723260 14598982 18514603 21270040 25446520 29197964 36497455 37029206 58395928 72994910 74058412 80294401 92573015 145989820 148116824 160588802 185146030 203660633 291979640 321177604 370292060 401472005 407321266 642355208 740584120 802944010 814642532 1018303165 1605888020 1629285064 2036606330 2795705053 3211776040 4073212660 5591410106 8146425320 11182820212 13978525265 22365640424 27957050530 30752755583 55914101060 61505511166 111828202120 123011022332 153763777915 246022044664 307527555830 615055111660 1230110223320