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1303120023201 = 34196701126359
BaseRepresentation
bin10010111101101000000…
…000011000111010100001
311121120120200020001110000
4102331220000120322201
5132322242211220301
62434351200330213
7163101346303053
oct22755000307241
94546520201400
101303120023201
1146271730a867
12190678313969
1395b64613309
14470ddab58d3
1523d6ccc6786
hex12f68018ea1

1303120023201 has 40 divisors (see below), whose sum is σ = 2049412622400. Its totient is φ = 822893839200.

The previous prime is 1303120023173. The next prime is 1303120023203. The reversal of 1303120023201 is 1023200213031.

1303120023201 is a `hidden beast` number, since 1 + 30 + 312 + 0 + 0 + 2 + 320 + 1 = 666.

It is not a de Polignac number, because 1303120023201 - 221 = 1303117926049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1303120023203) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10249660 + ... + 10376018.

It is an arithmetic number, because the mean of its divisors is an integer number (51235315560).

Almost surely, 21303120023201 is an apocalyptic number.

It is an amenable number.

1303120023201 is a deficient number, since it is larger than the sum of its proper divisors (746292599199).

1303120023201 is a wasteful number, since it uses less digits than its factorization.

1303120023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133091 (or 133082 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1303120023201 its reverse (1023200213031), we get a palindrome (2326320236232).

The spelling of 1303120023201 in words is "one trillion, three hundred three billion, one hundred twenty million, twenty-three thousand, two hundred one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 6701 20103 60309 126359 127319 180927 379077 381957 542781 1137231 1145871 2400821 3411693 3437613 7202463 10235079 10312839 21607389 64822167 194466501 846731659 2540194977 7620584931 16087901521 22861754793 48263704563 68585264379 144791113689 434373341067 1303120023201