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10104010121400 = 23352131295385913
BaseRepresentation
bin1001001100001000010111…
…1011110010000010111000
31022202221012211121212110220
42103002011323302002320
52311021003042341100
633253415042540040
72061663534652656
oct223020573620270
938687184555426
1010104010121400
1132460a5336738
121172284667620
13583a5b6c1560
1426d0729b9dd6
15127c66251aa0
hex93085ef20b8

10104010121400 has 96 divisors (see below), whose sum is σ = 33731849200560. Its totient is φ = 2487140951040.

The previous prime is 10104010121389. The next prime is 10104010121411. The reversal of 10104010121400 is 412101040101.

It is an interprime number because it is at equal distance from previous prime (10104010121389) and next prime (10104010121411).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10104010121400.

It is a congruent number.

It is an unprimeable number.

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, 647685157 + ... + 647700756.

Almost surely, 210104010121400 is an apocalyptic number.

10104010121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104010121400 is an abundant number, since it is smaller than the sum of its proper divisors (23627839079160).

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

10104010121400 is a wasteful number, since it uses less digits than its factorization.

10104010121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295385945 (or 1295385936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10104010121400 its reverse (412101040101), we get a palindrome (10516111161501).

The spelling of 10104010121400 in words is "ten trillion, one hundred four billion, ten million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 1295385913 2590771826 3886157739 5181543652 6476929565 7772315478 10363087304 12953859130 15544630956 16840016869 19430788695 25907718260 31089261912 32384647825 33680033738 38861577390 50520050607 51815436520 64769295650 67360067476 77723154780 84200084345 97153943475 101040101214 129538591300 134720134952 155446309560 168400168690 194307886950 202080202428 252600253035 259077182600 336800337380 388615773900 404160404856 421000421725 505200506070 673600674760 777231547800 842000843450 1010401012140 1263001265175 1684001686900 2020802024280 2526002530350 3368003373800 5052005060700 10104010121400