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131101340502144 = 273418327066851
BaseRepresentation
bin11101110011110001101000…
…110101001000100010000000
3122012012011110211110121202010
4131303301220311020202000
5114140431021132032034
61142455042511052520
736420521301415515
oct3563615065104200
9565164424417663
10131101340502144
11388558479aa331
1212854399811140
13581ca59ca969c
1424534a56cb30c
1510253a7a8a3e9
hex773c68d48880

131101340502144 has 64 divisors (see below), whose sum is σ = 356731543939680. Its totient is φ = 42634582272000.

The previous prime is 131101340502127. The next prime is 131101340502149. The reversal of 131101340502144 is 441205043101131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1311013405021442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131101340502149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4163517682 + ... + 4163549169.

Almost surely, 2131101340502144 is an apocalyptic number.

It is an amenable number.

131101340502144 is an abundant number, since it is smaller than the sum of its proper divisors (225630203437536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101340502144 is an equidigital number, since it uses as much as digits as its factorization.

131101340502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8327066909 (or 8327066897 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 131101340502144 its reverse (441205043101131), we get a palindrome (572306383603275).

The spelling of 131101340502144 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred forty million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 8327066851 16654133702 24981200553 33308267404 49962401106 66616534808 99924802212 133233069616 199849604424 266466139232 341409740891 399699208848 532932278464 682819481782 799398417696 1024229222673 1065864556928 1365638963564 1598796835392 2048458445346 2731277927128 3197593670784 4096916890692 5462555854256 8193833781384 10925111708512 16387667562768 21850223417024 32775335125536 43700446834048 65550670251072 131101340502144