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1230222133110 = 235172465730469
BaseRepresentation
bin10001111001101110111…
…101000000011101110110
311100121102021222112200210
4101321232331000131312
5130123443331224420
62341053425450250
7154611023411205
oct21715675003566
94317367875623
101230222133110
11434809360003
1217a512aa0986
138c0179b63c9
144378627723c
15220030919e0
hex11e6ef40776

1230222133110 has 96 divisors (see below), whose sum is σ = 3137204363040. Its totient is φ = 308685201408.

The previous prime is 1230222133103. The next prime is 1230222133123. The reversal of 1230222133110 is 113312220321.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 40360956 + ... + 40391424.

It is an arithmetic number, because the mean of its divisors is an integer number (32679212115).

Almost surely, 21230222133110 is an apocalyptic number.

1230222133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230222133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568602181520).

1230222133110 is an abundant number, since it is smaller than the sum of its proper divisors (1906982229930).

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

1230222133110 is a wasteful number, since it uses less digits than its factorization.

1230222133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35170 (or 35153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1230222133110 its reverse (113312220321), we get a palindrome (1343534353431).

The spelling of 1230222133110 in words is "one trillion, two hundred thirty billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 4657 8670 9314 13971 23285 27942 30469 46570 60938 69855 79169 91407 139710 152345 158338 182814 237507 304690 395845 457035 475014 517973 791690 914070 1035946 1187535 1345873 1553919 2375070 2589865 2691746 3107838 4037619 5179730 6729365 7769595 8075238 8805541 13458730 15539190 17611082 20188095 26416623 40376190 44027705 52833246 88055410 132083115 141894133 264166230 283788266 425682399 709470665 851364798 1418941330 2128411995 2412200261 4256823990 4824400522 7236600783 12061001305 14473201566 24122002610 36183003915 41007404437 72366007830 82014808874 123022213311 205037022185 246044426622 410074044370 615111066555 1230222133110