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12344402300100 = 223521322913821971
BaseRepresentation
bin1011001110100010011110…
…1101101100110011000100
31121201010001121202200110220
42303220213231230303010
53104222313442100400
642130535022344340
72412565540164003
oct263504755546304
947633047680426
1012344402300100
113a2a26030a392
12147451742b0b0
136b70c265a940
14309687c44c3a
1516618d8067a0
hexb3a27b6ccc4

12344402300100 has 144 divisors (see below), whose sum is σ = 38631858861120. Its totient is φ = 3025352793600.

The previous prime is 12344402300057. The next prime is 12344402300101. The reversal of 12344402300100 is 100320444321.

It is not an unprimeable number, because it can be changed into a prime (12344402300101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6017886 + ... + 7804085.

Almost surely, 212344402300100 is an apocalyptic number.

12344402300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344402300100 is an abundant number, since it is smaller than the sum of its proper divisors (26287456561020).

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

12344402300100 is a wasteful number, since it uses less digits than its factorization.

12344402300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822230 (or 13822223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12344402300100 its reverse (100320444321), we get a palindrome (12444722744421).

The spelling of 12344402300100 in words is "twelve trillion, three hundred forty-four billion, four hundred two million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 229 260 300 325 390 458 650 687 780 916 975 1145 1300 1374 1950 2290 2748 2977 3435 3900 4580 5725 5954 6870 8931 11450 11908 13740 14885 17175 17862 22900 29770 34350 35724 44655 59540 68700 74425 89310 148850 178620 223275 297700 446550 893100 13821971 27643942 41465913 55287884 69109855 82931826 138219710 165863652 179685623 207329565 276439420 345549275 359371246 414659130 539056869 691098550 718742492 829318260 898428115 1036647825 1078113738 1382197100 1796856230 2073295650 2156227476 2695284345 3165231359 3593712460 4146591300 4492140575 5390568690 6330462718 8984281150 9495694077 10781137380 12660925436 13476421725 15826156795 17968562300 18991388154 26952843450 31652313590 37982776308 41148007667 47478470385 53905686900 63304627180 79130783975 82296015334 94956940770 123444023001 158261567950 164592030668 189913881540 205740038335 237392351925 246888046002 316523135900 411480076670 474784703850 493776092004 617220115005 822960153340 949569407700 1028700191675 1234440230010 2057400383350 2468880460020 3086100575025 4114800766700 6172201150050 12344402300100