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2212031401300 = 2252747147145707
BaseRepresentation
bin100000001100000111010…
…110001000110101010100
321211110122021100001022001
4200030013112020311110
5242220220014320200
64412105421445044
7315546125451550
oct40140726106524
97743567301261
102212031401300
11783132070946
122b8858a10784
13130794390ac6
14790c4804860
153c81782676a
hex20307588d54

2212031401300 has 144 divisors (see below), whose sum is σ = 5606489161728. Its totient is φ = 741753532800.

The previous prime is 2212031401271. The next prime is 2212031401357. The reversal of 2212031401300 is 31041302122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48373047 + ... + 48418753.

It is an arithmetic number, because the mean of its divisors is an integer number (38933952512).

Almost surely, 22212031401300 is an apocalyptic number.

2212031401300 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 2212031401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803244580864).

2212031401300 is an abundant number, since it is smaller than the sum of its proper divisors (3394457760428).

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

2212031401300 is a wasteful number, since it uses less digits than its factorization.

2212031401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47246 (or 47239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2212031401300 its reverse (31041302122), we get a palindrome (2243072703422).

The spelling of 2212031401300 in words is "two trillion, two hundred twelve billion, thirty-one million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1471 1645 2350 2942 3290 4700 5884 6580 7355 8225 10297 14710 16450 20594 29420 32900 36775 41188 45707 51485 69137 73550 91414 102970 138274 147100 182828 205940 228535 257425 276548 319949 345685 457070 483959 514850 639898 691370 914140 967918 1029700 1142675 1279796 1382740 1599745 1728425 1935836 2148229 2285350 2419795 3199490 3456850 4296458 4570700 4839590 6398980 6913700 7998725 8592916 9679180 10741145 12098975 15037603 15997450 21482290 24197950 30075206 31994900 42964580 48395900 53705725 60150412 67234997 75188015 107411450 134469994 150376030 214822900 268939988 300752060 336174985 375940075 470644979 672349970 751880150 941289958 1344699940 1503760300 1680874925 1882579916 2353224895 3160044859 3361749850 4706449790 6320089718 6723499700 9412899580 11766124475 12640179436 15800224295 22120314013 23532248950 31600448590 44240628026 47064497900 63200897180 79001121475 88481256052 110601570065 158002242950 221203140130 316004485900 442406280260 553007850325 1106015700650 2212031401300