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1203414240213 = 328913759318493
BaseRepresentation
bin10001100000110001000…
…101000000101111010101
311021001020000012111001200
4101200301011000233111
5124204043021141323
62320501343343113
7152641504160103
oct21406105005725
94231200174050
101203414240213
11424401a69319
12175290bb1a99
1389634a583a3
1442361b60c73
1521484807443
hex11831140bd5

1203414240213 has 48 divisors (see below), whose sum is σ = 1773708496560. Its totient is φ = 786101133312.

The previous prime is 1203414240199. The next prime is 1203414240247. The reversal of 1203414240213 is 3120424143021.

1203414240213 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 414 + 240 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15015561444 + 1188398678769 = 122538^2 + 1090137^2 .

It is not a de Polignac number, because 1203414240213 - 29 = 1203414239701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203414240013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65064795 + ... + 65083287.

It is an arithmetic number, because the mean of its divisors is an integer number (36952260345).

Almost surely, 21203414240213 is an apocalyptic number.

It is an amenable number.

1203414240213 is a deficient number, since it is larger than the sum of its proper divisors (570294256347).

1203414240213 is a wasteful number, since it uses less digits than its factorization.

1203414240213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19318 (or 19315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1203414240213 its reverse (3120424143021), we get a palindrome (4323838383234).

The spelling of 1203414240213 in words is "one trillion, two hundred three billion, four hundred fourteen million, two hundred forty thousand, two hundred thirteen".

Divisors: 1 3 9 89 137 267 411 593 801 1233 1779 5337 12193 18493 36579 52777 55479 81241 109737 158331 166437 243723 474993 731169 1645877 2533541 4937631 7230449 7600623 10966349 14812893 21691347 22801869 32899047 65074041 98697141 225485149 676455447 976005061 1502389813 2029366341 2928015183 4507169439 8784045549 13521508317 133712693357 401138080071 1203414240213