Search a number
-
+
1032301030431 = 3112326943111731
BaseRepresentation
bin11110000010110011110…
…11111010110000011111
310122200112211111210012110
433001121323322300133
5113403123030433211
62110122121405103
7134403244660266
oct17013173726037
93580484453173
101032301030431
11368884024170
12148097639793
13764652a6ab8
1437d6c30b5dd
151bcbc3b6ea6
hexf059efac1f

1032301030431 has 64 divisors (see below), whose sum is σ = 1576420392960. Its totient is φ = 594776688000.

The previous prime is 1032301030421. The next prime is 1032301030447. The reversal of 1032301030431 is 1340301032301.

It is not a de Polignac number, because 1032301030431 - 221 = 1032298933279 is a prime.

It is a super-2 number, since 2×10323010304312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032301030398 and 1032301030407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032301030421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87991836 + ... + 88003566.

It is an arithmetic number, because the mean of its divisors is an integer number (24631568640).

Almost surely, 21032301030431 is an apocalyptic number.

1032301030431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032301030431 is a deficient number, since it is larger than the sum of its proper divisors (544119362529).

1032301030431 is a wasteful number, since it uses less digits than its factorization.

1032301030431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12468.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1032301030431 its reverse (1340301032301), we get a palindrome (2372602062732).

The spelling of 1032301030431 in words is "one trillion, thirty-two billion, three hundred one million, thirty thousand, four hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 269 431 759 807 1293 2959 4741 6187 8877 9913 11731 14223 18561 29739 35193 68057 109043 115939 129041 204171 269813 327129 347817 387123 809439 1275329 2666597 2967943 3155639 3825987 5056061 7999791 8903829 9466917 15168183 29332567 34712029 55616671 72579697 87997701 104136087 116289403 166850013 217739091 348868209 798376667 1279183433 1360080409 2395130001 3837550299 4080241227 14960884499 31281849407 44882653497 93845548221 344100343477 1032301030431