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131101334415334 = 21719239918903753
BaseRepresentation
bin11101110011110001101000…
…011101111010011111100110
3122012012011110102000101012201
4131303301220131322133212
5114140431013102242314
61142455042132405114
736420521165604643
oct3563615035723746
9565164412011181
10131101334415334
1138855844522208
121285439777679a
13581ca5895801a
1424534a4984dca
1510253a7286b74
hex773c6877a7e6

131101334415334 has 64 divisors (see below), whose sum is σ = 228939021250560. Its totient is φ = 55850030945280.

The previous prime is 131101334415287. The next prime is 131101334415341. The reversal of 131101334415334 is 433514433101131.

It is a super-2 number, since 2×1311013344153342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131101334415293 and 131101334415302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10272402 + ... + 19176154.

It is an arithmetic number, because the mean of its divisors is an integer number (3577172207040).

Almost surely, 2131101334415334 is an apocalyptic number.

131101334415334 is a deficient number, since it is larger than the sum of its proper divisors (97837686835226).

131101334415334 is a wasteful number, since it uses less digits than its factorization.

131101334415334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904805.

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 131101334415334 its reverse (433514433101131), we get a palindrome (564615767516465).

The spelling of 131101334415334 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred thirty-four million, four hundred fifteen thousand, three hundred thirty-four".

Divisors: 1 2 17 19 23 34 38 46 323 391 437 646 782 874 991 1982 7429 14858 16847 18829 22793 33694 37658 45586 320093 387481 433067 640186 774962 866134 7362139 8903753 14724278 17807506 151363801 169171307 204786319 302727602 338342614 409572638 2875912219 3481367423 3890940061 5751824438 6962734846 7781880122 8823619223 17647238446 66145981037 132291962074 150001526791 167648765237 202943242129 300003053582 335297530474 405886484258 2850029009029 3450035116193 3855921600451 5700058018058 6900070232386 7711843200902 65550667207667 131101334415334