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131003301111122 = 21179983667311491
BaseRepresentation
bin11101110010010110010101…
…001110100010010101010010
3122011211210102022001112101202
4131302112111032202111102
5114132324230041023442
61142342030302431202
736410450632351256
oct3562262516422522
9564753368045352
10131003301111122
1138818208256830
1212839398592502
1358137347319cb
14244c844bd0266
151022a6aa31c32
hex7725953a2552

131003301111122 has 64 divisors (see below), whose sum is σ = 217354885263360. Its totient is φ = 58719474028800.

The previous prime is 131003301111103. The next prime is 131003301111217. The reversal of 131003301111122 is 221111103300131.

It is a super-2 number, since 2×1310033011111222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131003301111094 and 131003301111103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11400507797 + ... + 11400519287.

It is an arithmetic number, because the mean of its divisors is an integer number (3396170082240).

Almost surely, 2131003301111122 is an apocalyptic number.

131003301111122 is a deficient number, since it is larger than the sum of its proper divisors (86351584152238).

131003301111122 is a wasteful number, since it uses less digits than its factorization.

131003301111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19239.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 131003301111122 its reverse (221111103300131), we get a palindrome (352114404411253).

The spelling of 131003301111122 in words is "one hundred thirty-one trillion, three billion, three hundred one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 22 79 158 869 983 1738 1966 6673 10813 11491 13346 21626 22982 73403 77657 126401 146806 155314 252802 527167 854227 907789 1054334 1708454 1815578 5798837 6559559 9985679 11295653 11597674 13119118 19971358 22591306 72155149 76679443 124252183 144310298 153358886 248504366 518205161 843473873 892356587 1036410322 1686947746 1784713174 5700256771 6057675997 9815922457 11400513542 12115351994 19631844914 66634435967 75375892469 133268871934 150751784938 829134817159 1658269634318 5954695505051 11909391010102 65501650555561 131003301111122