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1393368100 = 225261228421
BaseRepresentation
bin101001100001101…
…0001110000100100
310121002212102200221
41103003101300210
510323200234400
6350132414124
746346301445
oct12303216044
93532772627
101393368100
1165557a093
1232a777344
13192898c87
14d30a72cc
15824d4c1a
hex530d1c24

1393368100 has 36 divisors (see below), whose sum is σ = 3073189588. Its totient is φ = 548208000.

The previous prime is 1393368091. The next prime is 1393368101. The reversal of 1393368100 is 18633931.

It can be written as a sum of positive squares in 6 ways, for example, as 206152164 + 1187215936 = 14358^2 + 34456^2 .

It is a super-2 number, since 2×13933681002 = 3882949324195220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1393368101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108111 + ... + 120310.

Almost surely, 21393368100 is an apocalyptic number.

1393368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1393368100 is an abundant number, since it is smaller than the sum of its proper divisors (1679821488).

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

1393368100 is a wasteful number, since it uses less digits than its factorization.

1393368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228496 (or 228489 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1393368100 is about 37327.8461741365. The cubic root of 1393368100 is about 1116.9197089974.

The spelling of 1393368100 in words is "one billion, three hundred ninety-three million, three hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 228421 456842 913684 1142105 2284210 4568420 5710525 11421050 13933681 22842100 27867362 55734724 69668405 139336810 278673620 348342025 696684050 1393368100