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101200322013 = 3773283233267
BaseRepresentation
bin101111001000000000…
…0100101110111011101
3100200012211021000111120
41132100000211313131
53124224240301023
6114254002041153
710211560354410
oct1362000456735
9320184230446
10101200322013
1139a11a4186a
12177439491b9
13970a3b765b
144c80635b77
1529747da8e3
hex1790025ddd

101200322013 has 32 divisors (see below), whose sum is σ = 156875529216. Its totient is φ = 56834794368.

The previous prime is 101200321993. The next prime is 101200322039. The reversal of 101200322013 is 310223002101.

It is not a de Polignac number, because 101200322013 - 29 = 101200321501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200321983 and 101200322001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200322063) 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, 317206 + ... + 550472.

It is an arithmetic number, because the mean of its divisors is an integer number (4902360288).

Almost surely, 2101200322013 is an apocalyptic number.

It is an amenable number.

101200322013 is a deficient number, since it is larger than the sum of its proper divisors (55675207203).

101200322013 is a wasteful number, since it uses less digits than its factorization.

101200322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233633.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101200322013 its reverse (310223002101), we get a palindrome (411423324114).

The spelling of 101200322013 in words is "one hundred one billion, two hundred million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 21 73 219 283 511 849 1533 1981 5943 20659 61977 144613 233267 433839 699801 1632869 4898607 17028491 51085473 66014561 119199437 198043683 357598311 462101927 1386305781 4819062953 14457188859 33733440671 101200322013