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101122203013 = 13611278211223
BaseRepresentation
bin101111000101101011…
…0100101110110000101
3100200000101021011101021
41132023112211312011
53124044240444023
6114242131431141
710206621354256
oct1361326456605
9320011234337
10101122203013
1139981935907
12177217554b1
1396c71654b0
144c740dcb2d
15296ca0935d
hex178b5a5d85

101122203013 has 32 divisors (see below), whose sum is σ = 111784845312. Its totient is φ = 90905068800.

The previous prime is 101122203001. The next prime is 101122203043. The reversal of 101122203013 is 310302221101.

It is not a de Polignac number, because 101122203013 - 213 = 101122194821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122203043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82683120 + ... + 82684342.

It is an arithmetic number, because the mean of its divisors is an integer number (3493276416).

Almost surely, 2101122203013 is an apocalyptic number.

101122203013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101122203013 is a deficient number, since it is larger than the sum of its proper divisors (10662642299).

101122203013 is a wasteful number, since it uses less digits than its factorization.

101122203013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101122203013 its reverse (310302221101), we get a palindrome (411424424114).

The spelling of 101122203013 in words is "one hundred one billion, one hundred twenty-two million, two hundred three thousand, thirteen".

Divisors: 1 13 61 127 793 821 1223 1651 7747 10673 15899 50081 74603 100711 104267 155321 651053 969839 1004083 1355471 2019173 6360287 9474581 13053079 61249063 82683731 123169553 127518541 796237819 1657741033 7778631001 101122203013