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4130212011331 = 729671013006631
BaseRepresentation
bin111100000110100011110…
…100011101110101000011
3112121211210120120020102111
4330012203310131311003
51020132133233330311
612441220533200151
7604253334562240
oct74064364356503
915554716506374
104130212011331
111352682007a7a
12568567790057
1323c6288a1753
14103c90a365c7
157268274bd21
hex3c1a3d1dd43

4130212011331 has 32 divisors (see below), whose sum is σ = 5004959892480. Its totient is φ = 3333751344000.

The previous prime is 4130212011329. The next prime is 4130212011403. The reversal of 4130212011331 is 1331102120314.

It is not a de Polignac number, because 4130212011331 - 21 = 4130212011329 is a prime.

It is a super-3 number, since 3×41302120113313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4130212011311) 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, 129615 + ... + 2877016.

It is an arithmetic number, because the mean of its divisors is an integer number (156404996640).

Almost surely, 24130212011331 is an apocalyptic number.

4130212011331 is a deficient number, since it is larger than the sum of its proper divisors (874747881149).

4130212011331 is a wasteful number, since it uses less digits than its factorization.

4130212011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006835.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 4130212011331 its reverse (1331102120314), we get a palindrome (5461314131645).

The spelling of 4130212011331 in words is "four trillion, one hundred thirty billion, two hundred twelve million, eleven thousand, three hundred thirty-one".

Divisors: 1 7 29 67 101 203 469 707 1943 2929 6767 13601 20503 47369 196243 1373701 3006631 21046417 87192299 201444277 303669731 610346093 1410109939 2125688117 5841884033 8806422199 20345871977 40893188231 61644955393 142421103839 590030287333 4130212011331