Search a number
-
+
1341044123100 = 22352112887140761
BaseRepresentation
bin10011100000111100011…
…101010110010111011100
311202012110200002221100120
4103200330131112113130
5133432424243414400
62504022301354540
7165613215653013
oct23407435262734
94665420087316
101341044123100
114778084a0390
12197aa0b68a50
13995c9595306
1448c9a6aba7a
1524d3c406ca0
hex1383c7565dc

1341044123100 has 144 divisors (see below), whose sum is σ = 4234319152896. Its totient is φ = 324986688000.

The previous prime is 1341044123087. The next prime is 1341044123161. The reversal of 1341044123100 is 13214401431.

It is a super-2 number, since 2×13410441231002 (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 47 ways as a sum of consecutive naturals, for example, 9456720 + ... + 9597480.

Almost surely, 21341044123100 is an apocalyptic number.

1341044123100 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 1341044123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117159576448).

1341044123100 is an abundant number, since it is smaller than the sum of its proper divisors (2893275029796).

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

1341044123100 is a wasteful number, since it uses less digits than its factorization.

1341044123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143676 (or 143669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1341044123100 its reverse (13214401431), we get a palindrome (1354258524531).

The spelling of 1341044123100 in words is "one trillion, three hundred forty-one billion, forty-four million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2887 3300 5774 8661 11548 14435 17322 28870 31757 34644 43305 57740 63514 72175 86610 95271 127028 140761 144350 158785 173220 190542 216525 281522 288700 317570 381084 422283 433050 476355 563044 635140 703805 793925 844566 866100 952710 1407610 1548371 1587850 1689132 1905420 2111415 2381775 2815220 3096742 3175700 3519025 4222830 4645113 4763550 6193484 7038050 7741855 8445660 9290226 9527100 10557075 14076100 15483710 18580452 21114150 23225565 30967420 38709275 42228300 46451130 77418550 92902260 116127825 154837100 232255650 406377007 464511300 812754014 1219131021 1625508028 2031885035 2438262042 4063770070 4470147077 4876524084 6095655105 8127540140 8940294154 10159425175 12191310210 13410441231 17880588308 20318850350 22350735385 24382620420 26820882462 30478275525 40637700700 44701470770 53641764924 60956551050 67052206155 89402941540 111753676925 121913102100 134104412310 223507353850 268208824620 335261030775 447014707700 670522061550 1341044123100