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1224133004100 = 2235229140704943
BaseRepresentation
bin10001110100000100000…
…000110100101101000100
311100000200221012202000010
4101310010000310231010
5130024011022112400
62334205310350220
7154304104565406
oct21640400645504
94300627182003
101224133004100
11432174193286
121792b37bb370
138b587311ca6
14433696a6b76
1521c98700450
hex11d04034b44

1224133004100 has 72 divisors (see below), whose sum is σ = 3663956741760. Its totient is φ = 315179070080.

The previous prime is 1224133004033. The next prime is 1224133004123. The reversal of 1224133004100 is 14003314221.

It is a super-2 number, since 2×12241330041002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70343772 + ... + 70361171.

It is an arithmetic number, because the mean of its divisors is an integer number (50888288080).

Almost surely, 21224133004100 is an apocalyptic number.

1224133004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224133004100 is an abundant number, since it is smaller than the sum of its proper divisors (2439823737660).

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

1224133004100 is a wasteful number, since it uses less digits than its factorization.

1224133004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140704989 (or 140704982 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1224133004100 its reverse (14003314221), we get a palindrome (1238136318321).

The spelling of 1224133004100 in words is "one trillion, two hundred twenty-four billion, one hundred thirty-three million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 140704943 281409886 422114829 562819772 703524715 844229658 1407049430 1688459316 2110574145 2814098860 3517623575 4080443347 4221148290 7035247150 8160886694 8442296580 10552870725 12241330041 14070494300 16321773388 20402216735 21105741450 24482660082 40804433470 42211482900 48965320164 61206650205 81608866940 102011083675 122413300410 204022167350 244826600820 306033251025 408044334700 612066502050 1224133004100