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4130102341431 = 3211301913818551
BaseRepresentation
bin111100000110011101010…
…010000110111100110111
3112121211111221012102121100
4330012131102012330313
51020131422144411211
612441202014421143
7604250533444023
oct74063522067467
915554457172540
104130102341431
1113526261113a0
12568536b017b3
1323c60bc53711
14103c80249383
1572677cd7156
hex3c19d486f37

4130102341431 has 24 divisors (see below), whose sum is σ = 6510196218240. Its totient is φ = 2502263034000.

The previous prime is 4130102341411. The next prime is 4130102341499. The reversal of 4130102341431 is 1341432010314.

4130102341431 is a `hidden beast` number, since 413 + 0 + 1 + 0 + 234 + 14 + 3 + 1 = 666.

It is not a de Polignac number, because 4130102341431 - 25 = 4130102341399 is a prime.

It is a super-2 number, since 2×41301023414312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4130102341395 and 4130102341404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130102341411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6610395 + ... + 7208156.

It is an arithmetic number, because the mean of its divisors is an integer number (271258175760).

Almost surely, 24130102341431 is an apocalyptic number.

4130102341431 is a deficient number, since it is larger than the sum of its proper divisors (2380093876809).

4130102341431 is a wasteful number, since it uses less digits than its factorization.

4130102341431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821587 (or 13821584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4130102341431 its reverse (1341432010314), we get a palindrome (5471534351745).

The spelling of 4130102341431 in words is "four trillion, one hundred thirty billion, one hundred two million, three hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 3019 9057 27171 33209 99627 298881 13818551 41455653 124366959 152004061 456012183 1368036549 41718205469 125154616407 375463849221 458900260159 1376700780477 4130102341431