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1301221123100 = 225229571785809
BaseRepresentation
bin10010111011110110110…
…100101010010000011100
311121101200100002221012122
4102323312310222100130
5132304400101414400
62433434524322112
7163003321024133
oct22736664522034
94541610087178
101301221123100
11461932446038
121902283a3338
13959210a62a2
1446d9d81691a
1523cab234685
hex12ef6d2a41c

1301221123100 has 72 divisors (see below), whose sum is σ = 2926136413200. Its totient is φ = 501659827200.

The previous prime is 1301221123099. The next prime is 1301221123133. The reversal of 1301221123100 is 13211221031.

It is a super-2 number, since 2×13012211231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1262996 + ... + 2048804.

Almost surely, 21301221123100 is an apocalyptic number.

1301221123100 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 1301221123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463068206600).

1301221123100 is an abundant number, since it is smaller than the sum of its proper divisors (1624915290100).

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

1301221123100 is a wasteful number, since it uses less digits than its factorization.

1301221123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786423 (or 786416 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1301221123100 its reverse (13211221031), we get a palindrome (1314432344131).

The spelling of 1301221123100 in words is "one trillion, three hundred one billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 571 580 725 1142 1450 2284 2855 2900 5710 11420 14275 16559 28550 33118 57100 66236 82795 165590 331180 413975 785809 827950 1571618 1655900 3143236 3929045 7858090 15716180 19645225 22788461 39290450 45576922 78580900 91153844 113942305 227884610 448696939 455769220 569711525 897393878 1139423050 1794787756 2243484695 2278846100 4486969390 8973938780 11217423475 13012211231 22434846950 26024422462 44869693900 52048844924 65061056155 130122112310 260244224620 325305280775 650610561550 1301221123100