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21411103030400 = 275229230723093
BaseRepresentation
bin1001101111001001010010…
…01100001011110010000000
32210210212210120202200111202
410313210221030023302000
510301244414333433100
6113312042553200332
74336621043620646
oct467445114136200
983725716680452
1021411103030400
116905441524406
1224997471000a8
13bc409b27a185
145404352b7196
15271e42b377d5
hex13792930bc80

21411103030400 has 96 divisors (see below), whose sum is σ = 54715981742100. Its totient is φ = 8269115617280.

The previous prime is 21411103030393. The next prime is 21411103030423. The reversal of 21411103030400 is 403030111412.

It can be written as a sum of positive squares in 6 ways, for example, as 10874535094336 + 10536567936064 = 3297656^2 + 3246008^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 115268747 + ... + 115454346.

Almost surely, 221411103030400 is an apocalyptic number.

21411103030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21411103030400 is an abundant number, since it is smaller than the sum of its proper divisors (33304878711700).

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

21411103030400 is a wasteful number, since it uses less digits than its factorization.

21411103030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230723146 (or 230723129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21411103030400 its reverse (403030111412), we get a palindrome (21814133141812).

The spelling of 21411103030400 in words is "twenty-one trillion, four hundred eleven billion, one hundred three million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 290 320 400 464 580 640 725 800 928 1160 1450 1600 1856 2320 2900 3200 3712 4640 5800 9280 11600 18560 23200 46400 92800 230723093 461446186 922892372 1153615465 1845784744 2307230930 3691569488 4614461860 5768077325 6690969697 7383138976 9228923720 11536154650 13381939394 14766277952 18457847440 23072309300 26763878788 29532555904 33454848485 36915694880 46144618600 53527757576 66909696970 73831389760 92289237200 107055515152 133819393940 147662779520 167274242425 184578474400 214111030304 267638787880 334548484850 369156948800 428222060608 535277575760 669096969700 738313897600 856444121216 1070555151520 1338193939400 2141110303040 2676387878800 4282220606080 5352775757600 10705551515200 21411103030400