Search a number
-
+
1043110032100 = 2252411012518981
BaseRepresentation
bin11110010110111100011…
…00111111001011100100
310200201110010112221222121
433023132030333023210
5114042242132011400
62115110444035324
7135235144656553
oct17133614771344
93621403487877
101043110032100
113724204680a4
1214a1b3532b44
1377498779486
14386b5a9dd9a
151c2012c921a
hexf2de33f2e4

1043110032100 has 72 divisors (see below), whose sum is σ = 2341716198696. Its totient is φ = 403036800000.

The previous prime is 1043110032091. The next prime is 1043110032109. The reversal of 1043110032100 is 12300113401.

It is an interprime number because it is at equal distance from previous prime (1043110032091) and next prime (1043110032109).

It can be written as a sum of positive squares in 12 ways, for example, as 277425530944 + 765684501156 = 526712^2 + 875034^2 .

It is not an unprimeable number, because it can be changed into a prime (1043110032109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845391 + ... + 1673590.

It is an arithmetic number, because the mean of its divisors is an integer number (32523836093).

Almost surely, 21043110032100 is an apocalyptic number.

1043110032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1043110032100 is an abundant number, since it is smaller than the sum of its proper divisors (1298606166596).

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

1043110032100 is a wasteful number, since it uses less digits than its factorization.

1043110032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519137 (or 2519130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1043110032100 its reverse (12300113401), we get a palindrome (1055410145501).

The spelling of 1043110032100 in words is "one trillion, forty-three billion, one hundred ten million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 164 202 205 404 410 505 820 1010 1025 2020 2050 2525 4100 4141 5050 8282 10100 16564 20705 41410 82820 103525 207050 414100 2518981 5037962 10075924 12594905 25189810 50379620 62974525 103278221 125949050 206556442 251898100 254417081 413112884 508834162 516391105 1017668324 1032782210 1272085405 2065564420 2544170810 2581955525 5088341620 5163911050 6360427025 10327822100 10431100321 12720854050 20862200642 25441708100 41724401284 52155501605 104311003210 208622006420 260777508025 521555016050 1043110032100