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1124430140401 = 7121371628153
BaseRepresentation
bin10000010111001101010…
…000100101001111110001
310222111100110200111010121
4100113031100211033301
5121410313103443101
62220320040130241
7144144266331451
oct20271520451761
93874313614117
101124430140401
113a3960556077
12161b09466981
1382058239a59
143c5cbcb1d61
151e3b060b0a1
hex105cd4253f1

1124430140401 has 12 divisors (see below), whose sum is σ = 1148815693476. Its totient is φ = 1100500499840.

The previous prime is 1124430140363. The next prime is 1124430140417. The reversal of 1124430140401 is 1040410344211.

It can be written as a sum of positive squares in 2 ways, for example, as 545234560000 + 579195580401 = 738400^2 + 761049^2 .

It is not a de Polignac number, because 1124430140401 - 211 = 1124430138353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1124430140441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123460 + ... + 1504693.

It is an arithmetic number, because the mean of its divisors is an integer number (95734641123).

Almost surely, 21124430140401 is an apocalyptic number.

It is an amenable number.

1124430140401 is a deficient number, since it is larger than the sum of its proper divisors (24385553075).

1124430140401 is an equidigital number, since it uses as much as digits as its factorization.

1124430140401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628432 (or 1628361 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1124430140401 its reverse (1040410344211), we get a palindrome (2164840484612).

The spelling of 1124430140401 in words is "one trillion, one hundred twenty-four billion, four hundred thirty million, one hundred forty thousand, four hundred one".

Divisors: 1 71 137 5041 9727 690617 1628153 115598863 223056961 8207519273 15837044231 1124430140401