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100222000131 = 311291011036883
BaseRepresentation
bin101110101010110110…
…0100101110000000011
3100120200122101010011210
41131111230211300003
53120223313001011
6114012533141203
710145410642131
oct1352554456003
9316618333153
10100222000131
113955a785090
121751018a803
1395b27ca676
144bca72c751
15291898c6a6
hex1755b25c03

100222000131 has 32 divisors (see below), whose sum is σ = 152297521920. Its totient is φ = 58065392000.

The previous prime is 100222000117. The next prime is 100222000139. The reversal of 100222000131 is 131000222001.

It is not a de Polignac number, because 100222000131 - 211 = 100221998083 is a prime.

It is a super-2 number, since 2×1002220001312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100222000139) 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, 421785 + ... + 615098.

It is an arithmetic number, because the mean of its divisors is an integer number (4759297560).

Almost surely, 2100222000131 is an apocalyptic number.

100222000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100222000131 is a deficient number, since it is larger than the sum of its proper divisors (52075521789).

100222000131 is a wasteful number, since it uses less digits than its factorization.

100222000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037027.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100222000131 its reverse (131000222001), we get a palindrome (231222222132).

The spelling of 100222000131 in words is "one hundred billion, two hundred twenty-two million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 11 29 33 87 101 303 319 957 1111 2929 3333 8787 32219 96657 1036883 3110649 11405713 30069607 34217139 90208821 104725183 314175549 330765677 992297031 1151977013 3037030307 3455931039 9111090921 33407333377 100222000131