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11211055551400 = 2352129751898329
BaseRepresentation
bin1010001100100100011011…
…1110111101001110101000
31110200202200201220120020111
42203021012332331032220
52432140220210121100
635502142100304104
72234654256601525
oct243110676751650
943622621816214
1011211055551400
113632644650551
12131093b9a2034
1363427601aa03
142aa891a6814c
1514695a4e26ba
hexa3246fbd3a8

11211055551400 has 96 divisors (see below), whose sum is σ = 26093960739000. Its totient is φ = 4479563243520.

The previous prime is 11211055551349. The next prime is 11211055551407. The reversal of 11211055551400 is 415555011211.

It can be written as a sum of positive squares in 12 ways, for example, as 3129509597764 + 8081545953636 = 1769042^2 + 2842806^2 .

It is not an unprimeable number, because it can be changed into a prime (11211055551407) 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, 1346022436 + ... + 1346030764.

Almost surely, 211211055551400 is an apocalyptic number.

11211055551400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211055551400 is an abundant number, since it is smaller than the sum of its proper divisors (14882905187600).

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

11211055551400 is a wasteful number, since it uses less digits than its factorization.

11211055551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14831 (or 14822 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 31.

The spelling of 11211055551400 in words is "eleven trillion, two hundred eleven billion, fifty-five million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1297 2594 5188 5189 6485 8329 10376 10378 12970 16658 20756 25940 25945 32425 33316 41512 41645 51880 51890 64850 66632 83290 103780 129700 129725 166580 207560 208225 259400 259450 333160 416450 518900 832900 1037800 1665800 6730133 10802713 13460266 21605426 26920532 33650665 43210852 43219181 53841064 54013565 67301330 86421704 86438362 108027130 134602660 168253325 172876724 216054260 216095905 269205320 270067825 336506650 345753448 432108520 432191810 540135650 673013300 864383620 1080271300 1080479525 1346026600 1728767240 2160542600 2160959050 4321918100 8643836200 56055277757 112110555514 224221111028 280276388785 448442222056 560552777570 1121105555140 1401381943925 2242211110280 2802763887850 5605527775700 11211055551400