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335430152001 = 3378392115331
BaseRepresentation
bin1001110000110010011…
…00011110111101000001
31012001210201000020022000
410320121030132331001
520443430104331001
6414032224134213
733143162151210
oct4703114367501
91161721006260
10335430152001
1111a28963795a
1255012a67369
13258281c00a9
1412340821077
158ad2daba86
hex4e1931ef41

335430152001 has 32 divisors (see below), whose sum is σ = 568601241600. Its totient is φ = 191445826320.

The previous prime is 335430151957. The next prime is 335430152003. The reversal of 335430152001 is 100251034533.

335430152001 is a `hidden beast` number, since 3 + 354 + 301 + 5 + 2 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 335430152001 - 221 = 335428054849 is a prime.

It is a super-2 number, since 2×3354301520012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (335430152003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899095 + ... + 1216236.

It is an arithmetic number, because the mean of its divisors is an integer number (17768788800).

Almost surely, 2335430152001 is an apocalyptic number.

It is an amenable number.

335430152001 is a deficient number, since it is larger than the sum of its proper divisors (233171089599).

335430152001 is a wasteful number, since it uses less digits than its factorization.

335430152001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116186 (or 2116180 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 335430152001 its reverse (100251034533), we get a palindrome (435681186534).

The spelling of 335430152001 in words is "three hundred thirty-five billion, four hundred thirty million, one hundred fifty-two thousand, one".

Divisors: 1 3 7 9 21 27 63 189 839 2517 5873 7551 17619 22653 52857 158571 2115331 6345993 14807317 19037979 44421951 57113937 133265853 399797559 1774762709 5324288127 12423338963 15972864381 37270016889 47918593143 111810050667 335430152001