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130203143112400 = 24522928477394157
BaseRepresentation
bin11101100110101101001000…
…000110000000011011010000
3122002000022001220121121220121
4131212231020012000123100
5114031222014114044100
61140530255335520024
736265603156523461
oct3546551006003320
9562008056547817
10130203143112400
113853992a997286
121272a2a9229014
135786146b15787
142421c1989ad68
15100bd3893051a
hex766b481806d0

130203143112400 has 120 divisors (see below), whose sum is σ = 323611892836920. Its totient is φ = 50283458426880.

The previous prime is 130203143112389. The next prime is 130203143112403. The reversal of 130203143112400 is 4211341302031.

It can be written as a sum of positive squares in 12 ways, for example, as 16889502579856 + 113313640532544 = 4109684^2 + 10644888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130203143112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330136122 + ... + 330530278.

It is an arithmetic number, because the mean of its divisors is an integer number (2696765773641).

Almost surely, 2130203143112400 is an apocalyptic number.

130203143112400 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 130203143112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161805946418460).

130203143112400 is an abundant number, since it is smaller than the sum of its proper divisors (193408749724520).

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

130203143112400 is a wasteful number, since it uses less digits than its factorization.

130203143112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422681 (or 422670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 130203143112400 its reverse (4211341302031), we get a palindrome (134414484414431).

The spelling of 130203143112400 in words is "one hundred thirty trillion, two hundred three billion, one hundred forty-three million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 28477 56954 113908 142385 227816 284770 394157 455632 569540 711925 788314 825833 1139080 1423850 1576628 1651666 1970785 2278160 2847700 3153256 3303332 3941570 4129165 5695400 6306512 6606664 7883140 8258330 9853925 11390800 11430553 13213328 15766280 16516660 19707850 20645825 22861106 31532560 33033320 39415700 41291650 45722212 57152765 66066640 78831400 82583300 91444424 114305530 157662800 165166600 182888848 228611060 285763825 330333200 457222120 571527650 914444240 1143055300 2286110600 4572221200 11224408889 22448817778 44897635556 56122044445 89795271112 112244088890 179590542224 224488177780 280610222225 325507857781 448976355560 561220444450 651015715562 897952711120 1122440888900 1302031431124 1627539288905 2244881777800 2604062862248 3255078577810 4489763555600 5208125724496 6510157155620 8137696444525 13020314311240 16275392889050 26040628622480 32550785778100 65101571556200 130203143112400