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12302320102100 = 22527232389319849
BaseRepresentation
bin1011001100000101101101…
…1010110110101011010100
31121120002102211200112021222
42303001123122312223110
53103030122421231400
642055335143025512
72406545650332050
oct263013332665324
947502384615258
1012302320102100
113a13425a82156
12146833213b298
136b31470b1372
14307614d02c60
15165029122185
hexb305b6b6ad4

12302320102100 has 144 divisors (see below), whose sum is σ = 31849690656000. Its totient is φ = 4032848286720.

The previous prime is 12302320102097. The next prime is 12302320102133. The reversal of 12302320102100 is 120102320321.

It is a congruent number.

It is an unprimeable number.

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, 38302976 + ... + 38622824.

Almost surely, 212302320102100 is an apocalyptic number.

12302320102100 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 12302320102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15924845328000).

12302320102100 is an abundant number, since it is smaller than the sum of its proper divisors (19547370553900).

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

12302320102100 is a wasteful number, since it uses less digits than its factorization.

12302320102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322282 (or 322275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12302320102100 its reverse (120102320321), we get a palindrome (12422422422421).

The spelling of 12302320102100 in words is "twelve trillion, three hundred two billion, three hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 2389 3220 4025 4778 8050 9556 11945 16100 16723 23890 33446 47780 54947 59725 66892 83615 109894 119450 167230 219788 238900 274735 319849 334460 384629 418075 549470 639698 769258 836150 1098940 1279396 1373675 1538516 1599245 1672300 1923145 2238943 2747350 3198490 3846290 4477886 5494700 6396980 7356527 7692580 7996225 8955772 9615725 11194715 14713054 15992450 19231450 22389430 29426108 31984900 36782635 38462900 44778860 51495689 55973575 73565270 102991378 111947150 147130540 183913175 205982756 223894300 257478445 367826350 514956890 735652700 764119261 1029913780 1287392225 1528238522 2574784450 3056477044 3820596305 5149568900 5348834827 7641192610 10697669654 15282385220 17574743003 19102981525 21395339308 26744174135 35149486006 38205963050 53488348270 70298972012 76411926100 87873715015 106976696540 123023201021 133720870675 175747430030 246046402042 267441741350 351494860060 439368575075 492092804084 534883482700 615116005105 878737150150 1230232010210 1757474300300 2460464020420 3075580025525 6151160051050 12302320102100