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11361273800 = 235275372
BaseRepresentation
bin10101001010010111…
…10100011111001000
31002022210020111201112
422211023310133020
5141231441230200
65115211305452
7551354143142
oct124513643710
932283214645
1011361273800
114900163188
122250a4b288
1310c0a2a126
1479ac73c92
15467653535
hex2a52f47c8

11361273800 has 36 divisors (see below), whose sum is σ = 26418466755. Its totient is φ = 4543906560.

The previous prime is 11361273779. The next prime is 11361273901. The reversal of 11361273800 is 837216311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11361273800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3347085316 + 8014188484 = 57854^2 + 89522^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=75370.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1503632 + ... + 1511168.

Almost surely, 211361273800 is an apocalyptic number.

11361273800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11361273800 is an abundant number, since it is smaller than the sum of its proper divisors (15057192955).

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

11361273800 is an frugal number, since it uses more digits than its factorization.

11361273800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15090 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Multiplying 11361273800 by its sum of digits (32), we get a square (363560761600 = 6029602).

The spelling of 11361273800 in words is "eleven billion, three hundred sixty-one million, two hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7537 15074 30148 37685 60296 75370 150740 188425 301480 376850 753700 1507400 56806369 113612738 227225476 284031845 454450952 568063690 1136127380 1420159225 2272254760 2840318450 5680636900 11361273800