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23430000130400 = 2552194391351047
BaseRepresentation
bin1010101001111001110001…
…10101011011100101100000
310001221212220222211200100102
411110330320311123211200
511032334120013133100
6121455332104441532
74635522150051023
oct524747065334540
9101855828750312
1023430000130400
117513675289106
122764a837792a8
13100c593861506
145b00377971ba
152a9704b25cd5
hex154f38d5b960

23430000130400 has 144 divisors (see below), whose sum is σ = 60222817992960. Its totient is φ = 8876689574400.

The previous prime is 23430000130399. The next prime is 23430000130403. The reversal of 23430000130400 is 403100003432.

It is a super-2 number, since 2×234300001304002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430000130403) 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 23 ways as a sum of consecutive naturals, for example, 66567677 + ... + 66918723.

It is an arithmetic number, because the mean of its divisors is an integer number (418214013840).

Almost surely, 223430000130400 is an apocalyptic number.

23430000130400 is a gapful number since it is divisible by the number (20) 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 23430000130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30111408996480).

23430000130400 is an abundant number, since it is smaller than the sum of its proper divisors (36792817862560).

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

23430000130400 is a wasteful number, since it uses less digits than its factorization.

23430000130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355477 (or 355464 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23430000130400 its reverse (403100003432), we get a palindrome (23833100133832).

The spelling of 23430000130400 in words is "twenty-three trillion, four hundred thirty billion, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 4391 7600 8782 15200 17564 21955 35128 43910 70256 83429 87820 109775 140512 166858 175640 219550 333716 351047 351280 417145 439100 667432 702094 702560 834290 878200 1334864 1404188 1668580 1755235 1756400 2085725 2669728 2808376 3337160 3510470 3512800 4171450 5616752 6669893 6674320 7020940 8342900 8776175 11233504 13339786 13348640 14041880 16685800 17552350 26679572 28083760 33349465 33371600 35104700 53359144 56167520 66698930 66743200 70209400 106718288 133397860 140418800 166747325 213436576 266795720 280837600 333494650 533591440 666989300 1067182880 1333978600 1541447377 2667957200 3082894754 5335914400 6165789508 7707236885 12331579016 15414473770 24663158032 29287500163 30828947540 38536184425 49326316064 58575000326 61657895080 77072368850 117150000652 123315790160 146437500815 154144737700 234300001304 246631580320 292875001630 308289475400 468600002608 585750003260 616578950800 732187504075 937200005216 1171500006520 1233157901600 1464375008150 2343000013040 2928750016300 4686000026080 5857500032600 11715000065200 23430000130400