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1001030011113 = 311257118032073
BaseRepresentation
bin11101001000100100000…
…10011100100011101001
310112200211111120102002210
432210102002130203221
5112400102140323423
62043511123115333
7132215312462616
oct16442202344351
93480744512083
101001030011113
11356597387550
1214200ab12b49
13735207b2a82
143664316750d
151b08bdc4b93
hexe91209c8e9

1001030011113 has 16 divisors (see below), whose sum is σ = 1461709204416. Its totient is φ = 604324208640.

The previous prime is 1001030011109. The next prime is 1001030011123. The reversal of 1001030011113 is 3111100301001.

It is not a de Polignac number, because 1001030011113 - 22 = 1001030011109 is a prime.

It is a super-2 number, since 2×10010300111132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001030011123) 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 15 ways as a sum of consecutive naturals, for example, 59007556 + ... + 59024517.

It is an arithmetic number, because the mean of its divisors is an integer number (91356825276).

Almost surely, 21001030011113 is an apocalyptic number.

It is an amenable number.

1001030011113 is a deficient number, since it is larger than the sum of its proper divisors (460679193303).

1001030011113 is a wasteful number, since it uses less digits than its factorization.

1001030011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118032344.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1001030011113 its reverse (3111100301001), we get a palindrome (4112130312114).

The spelling of 1001030011113 in words is "one trillion, one billion, thirty million, eleven thousand, one hundred thirteen".

Divisors: 1 3 11 33 257 771 2827 8481 118032073 354096219 1298352803 3895058409 30334242761 91002728283 333676670371 1001030011113