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1031241431214 = 23513116197679
BaseRepresentation
bin11110000000110101100…
…01110111100010101110
310122120210222200120100000
433000122301313202232
5113343440301244324
62105425030445130
7134335060351611
oct17003261674256
93576728616300
101031241431214
1136838a9a3635
12147a408037a6
1376326900207
1437cab6c8178
151bc593619c9
hexf01ac778ae

1031241431214 has 48 divisors (see below), whose sum is σ = 2334798385920. Its totient is φ = 341123098680.

The previous prime is 1031241431201. The next prime is 1031241431249. The reversal of 1031241431214 is 4121341421301.

It is a happy number.

1031241431214 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 414 + 31 + 214 = 666.

It is a super-3 number, since 3×10312414312143 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8035174 + ... + 8162505.

It is an arithmetic number, because the mean of its divisors is an integer number (48641633040).

Almost surely, 21031241431214 is an apocalyptic number.

1031241431214 is an abundant number, since it is smaller than the sum of its proper divisors (1303556954706).

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

1031241431214 is a wasteful number, since it uses less digits than its factorization.

1031241431214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197827 (or 16197815 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1031241431214 its reverse (4121341421301), we get a palindrome (5152582852515).

The spelling of 1031241431214 in words is "one trillion, thirty-one billion, two hundred forty-one million, four hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 393 486 786 1179 2358 3537 7074 10611 21222 31833 63666 16197679 32395358 48593037 97186074 145779111 291558222 437337333 874674666 1312011999 2121895949 2624023998 3936035997 4243791898 6365687847 7872071994 12731375694 19097063541 38194127082 57291190623 114582381246 171873571869 343747143738 515620715607 1031241431214