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10343100400 = 2452315211601
BaseRepresentation
bin10011010000111111…
…10010111111110000
3222200211100221101121
421220133302333300
5132140313203100
64430200312024
7514211621443
oct115037627760
928624327347
1010343100400
114428457466
122007a72614
13c8aac9069
1470195565a
1540808251a
hex2687f2ff0

10343100400 has 120 divisors (see below), whose sum is σ = 25716175488. Its totient is φ = 3993600000.

The previous prime is 10343100377. The next prime is 10343100419. The reversal of 10343100400 is 400134301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6459600 + ... + 6461200.

Almost surely, 210343100400 is an apocalyptic number.

10343100400 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 10343100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12858087744).

10343100400 is an abundant number, since it is smaller than the sum of its proper divisors (15373075088).

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

10343100400 is a wasteful number, since it uses less digits than its factorization.

10343100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10343100400 its reverse (400134301), we get a palindrome (10743234701).

The spelling of 10343100400 in words is "ten billion, three hundred forty-three million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 521 620 775 1042 1240 1550 1601 2084 2480 2605 3100 3202 4168 5210 6200 6404 8005 8336 10420 12400 12808 13025 16010 16151 20840 25616 26050 32020 32302 40025 41680 49631 52100 64040 64604 80050 80755 99262 104200 128080 129208 160100 161510 198524 208400 248155 258416 320200 323020 397048 403775 496310 640400 646040 794096 807550 834121 992620 1240775 1292080 1615100 1668242 1985240 2481550 3230200 3336484 3970480 4170605 4963100 6460400 6672968 8341210 9926200 13345936 16682420 19852400 20853025 25857751 33364840 41706050 51715502 66729680 83412100 103431004 129288755 166824200 206862008 258577510 333648400 413724016 517155020 646443775 1034310040 1292887550 2068620080 2585775100 5171550200 10343100400