Search a number
-
+
431130110410025 = 52137329362020393
BaseRepresentation
bin110001000000111000100110…
…1000101010011110100101001
32002112111122011200001221210222
41202001301031011103310221
5423002113431231110100
64124534234414215425
7156545060021325215
oct14201611505236451
92075448150057728
10431130110410025
1111540a286873424
124042baa17b4575
1315674519977220
147866b47047945
1534c9a3c041485
hex1881c4d153d29

431130110410025 has 48 divisors (see below), whose sum is σ = 585603010268976. Its totient is φ = 312940013137920.

The previous prime is 431130110410019. The next prime is 431130110410031. The reversal of 431130110410025 is 520014011031134.

It is an interprime number because it is at equal distance from previous prime (431130110410019) and next prime (431130110410031).

It can be written as a sum of positive squares in 24 ways, for example, as 193298441918761 + 237831668491264 = 13903181^2 + 15421792^2 .

It is not a de Polignac number, because 431130110410025 - 26 = 431130110409961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431130110409976 and 431130110410003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24058772 + ... + 37961621.

It is an arithmetic number, because the mean of its divisors is an integer number (12200062713937).

Almost surely, 2431130110410025 is an apocalyptic number.

It is an amenable number.

431130110410025 is a deficient number, since it is larger than the sum of its proper divisors (154472899858951).

431130110410025 is a wasteful number, since it uses less digits than its factorization.

431130110410025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62020782 (or 62020777 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 431130110410025 its reverse (520014011031134), we get a palindrome (951144121441159).

The spelling of 431130110410025 in words is "four hundred thirty-one trillion, one hundred thirty billion, one hundred ten million, four hundred ten thousand, twenty-five".

Divisors: 1 5 13 25 65 73 293 325 365 949 1465 1825 3809 4745 7325 19045 21389 23725 95225 106945 278057 534725 1390285 6951425 62020393 310101965 806265109 1550509825 4031325545 4527488689 18171975149 20156627725 22637443445 58857352957 90859875745 113187217225 236235676937 294286764785 454299378725 1181178384685 1326554185877 1471433823925 5905891923425 6632770929385 17245204416401 33163854646925 86226022082005 431130110410025