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101033300011 = 7149383252919
BaseRepresentation
bin101111000011000001…
…1011101000000101011
3100122210011222102101111
41132012003131000223
53123404011100021
6114225234131151
710204461610660
oct1360603350053
9318704872344
10101033300011
1139936733756
12176b7a20ab7
1396b1908977
144c66399a67
152964ce78e1
hex17860dd02b

101033300011 has 16 divisors (see below), whose sum is σ = 116545536000. Its totient is φ = 85793832288.

The previous prime is 101033300009. The next prime is 101033300021. The reversal of 101033300011 is 110003330101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101033300011 - 21 = 101033300009 is a prime.

It is a super-2 number, since 2×1010333000112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101033299964 and 101033300000.

It is not an unprimeable number, because it can be changed into a prime (101033300021) 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, 273010 + ... + 525928.

It is an arithmetic number, because the mean of its divisors is an integer number (7284096000).

Almost surely, 2101033300011 is an apocalyptic number.

101033300011 is a deficient number, since it is larger than the sum of its proper divisors (15512235989).

101033300011 is a wasteful number, since it uses less digits than its factorization.

101033300011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253458.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101033300011 its reverse (110003330101), we get a palindrome (211036630112).

The spelling of 101033300011 in words is "one hundred one billion, thirty-three million, three hundred thousand, eleven".

Divisors: 1 7 149 383 1043 2681 57067 252919 399469 1770433 37684931 96867977 263794517 678075839 14433328573 101033300011