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1013310330021 = 331123891428137
BaseRepresentation
bin11101011111011100000…
…00001001010010100101
310120212112100011020201000
432233232000021102211
5113100224421030041
62053301445023513
7133131526455633
oct16575600112245
93525470136630
101013310330021
1136081929a940
121444776b4b99
1374729a44172
143708a0b4353
151b55a067bb6
hexebee0094a5

1013310330021 has 32 divisors (see below), whose sum is σ = 1638359913600. Its totient is φ = 613869978240.

The previous prime is 1013310330013. The next prime is 1013310330041. The reversal of 1013310330021 is 1200330133101.

It is a happy number.

1013310330021 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 310 + 330 + 0 + 21 = 666.

It is not a de Polignac number, because 1013310330021 - 23 = 1013310330013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013310329976 and 1013310330003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013310330041) 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, 4536 + ... + 1423601.

It is an arithmetic number, because the mean of its divisors is an integer number (51198747300).

Almost surely, 21013310330021 is an apocalyptic number.

1013310330021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013310330021 is a deficient number, since it is larger than the sum of its proper divisors (625049583579).

1013310330021 is a wasteful number, since it uses less digits than its factorization.

1013310330021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430546 (or 1430540 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013310330021 its reverse (1200330133101), we get a palindrome (2213640463122).

The spelling of 1013310330021 in words is "one trillion, thirteen billion, three hundred ten million, three hundred thirty thousand, twenty-one".

Divisors: 1 3 9 11 27 33 99 297 2389 7167 21501 26279 64503 78837 236511 709533 1428137 4284411 12853233 15709507 38559699 47128521 141385563 424156689 3411819293 10235457879 30706373637 37530012223 92119120911 112590036669 337770110007 1013310330021