Base | Representation |
---|---|
bin | 1001011111001011000010… |
… | …0101100001100001101100 |
3 | 1100221012121022021012002000 |
4 | 2113302300211201201230 |
5 | 2331400440131040411 |
6 | 34104000120332300 |
7 | 2124424311303114 |
oct | 227626045414154 |
9 | 40835538235060 |
10 | 10431143221356 |
11 | 3361906455590 |
12 | 1205760914090 |
13 | 5a88639634a0 |
14 | 280c274ca044 |
15 | 1315109d7956 |
hex | 97cb096186c |
10431143221356 has 384 divisors, whose sum is σ = 32170550630400. Its totient is φ = 2881319040000.
The previous prime is 10431143221339. The next prime is 10431143221357. The reversal of 10431143221356 is 65312234113401.
10431143221356 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 1 + 432 + 213 + 5 + 6 = 666.
It is a super-3 number, since 3×104311432213563 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10431143221356.
It is not an unprimeable number, because it can be changed into a prime (10431143221357) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606770721 + ... + 606787911.
It is an arithmetic number, because the mean of its divisors is an integer number (83777475600).
Almost surely, 210431143221356 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10431143221356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16085275315200).
10431143221356 is an abundant number, since it is smaller than the sum of its proper divisors (21739407409044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10431143221356 is a wasteful number, since it uses less digits than its factorization.
10431143221356 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17718 (or 17710 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
Adding to 10431143221356 its reverse (65312234113401), we get a palindrome (75743377334757).
The spelling of 10431143221356 in words is "ten trillion, four hundred thirty-one billion, one hundred forty-three million, two hundred twenty-one thousand, three hundred fifty-six".
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