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1103028339200 = 295292832
BaseRepresentation
bin10000000011010001100…
…111001100001000000000
310220110002221102100010212
4100003101213030020000
5121033000223323300
62202420233213252
7142456033120544
oct20032147141000
93813087370125
101103028339200
11395878818067
12159935b61228
1380027302868
143b55b769a24
151da5b791935
hex100d19cc200

1103028339200 has 90 divisors (see below), whose sum is σ = 2733133307949. Its totient is φ = 441163806720.

The previous prime is 1103028339197. The next prime is 1103028339211. The reversal of 1103028339200 is 29338203011.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 1080967772416 + 22060566784 = 1039696^2 + 148528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=742640.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118817759 + ... + 118827041.

Almost surely, 21103028339200 is an apocalyptic number.

1103028339200 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 1103028339200

1103028339200 is an abundant number, since it is smaller than the sum of its proper divisors (1630104968749).

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

1103028339200 is an frugal number, since it uses more digits than its factorization.

1103028339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18594 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

Multiplying 1103028339200 by its sum of digits (32), we get a square (35296906854400 = 59411202).

1103028339200 divided by its sum of digits (32) gives a square (34469635600 = 1856602).

The spelling of 1103028339200 in words is "one trillion, one hundred three billion, twenty-eight million, three hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 9283 12800 18566 37132 46415 74264 92830 148528 185660 232075 297056 371320 464150 594112 742640 928300 1188224 1485280 1856600 2376448 2970560 3713200 4752896 5941120 7426400 11882240 14852800 23764480 29705600 59411200 86174089 118822400 172348178 344696356 430870445 689392712 861740890 1378785424 1723481780 2154352225 2757570848 3446963560 4308704450 5515141696 6893927120 8617408900 11030283392 13787854240 17234817800 22060566784 27575708480 34469635600 44121133568 55151416960 68939271200 110302833920 137878542400 220605667840 275757084800 551514169600 1103028339200