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101033214303 = 3741331164071
BaseRepresentation
bin101111000011000001…
…1001000000101011111
3100122210011211001211010
41132012003020011133
53123404000324203
6114225232230303
710204461103050
oct1360603100537
9318704731733
10101033214303
113993668531a
12176b799b393
1396b18a8958
144c66376727
152964ccc303
hex17860c815f

101033214303 has 16 divisors (see below), whose sum is σ = 153992756736. Its totient is φ = 57719246880.

The previous prime is 101033214251. The next prime is 101033214361. The reversal of 101033214303 is 303412330101.

It is not a de Polignac number, because 101033214303 - 26 = 101033214239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101033214303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033214103) 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, 495243 + ... + 668828.

It is an arithmetic number, because the mean of its divisors is an integer number (9624547296).

Almost surely, 2101033214303 is an apocalyptic number.

101033214303 is a deficient number, since it is larger than the sum of its proper divisors (52959542433).

101033214303 is a wasteful number, since it uses less digits than its factorization.

101033214303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168214.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101033214303 its reverse (303412330101), we get a palindrome (404445544404).

The spelling of 101033214303 in words is "one hundred one billion, thirty-three million, two hundred fourteen thousand, three hundred three".

Divisors: 1 3 7 21 4133 12399 28931 86793 1164071 3492213 8148497 24445491 4811105443 14433316329 33677738101 101033214303