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2431431101 = 1118110611151
BaseRepresentation
bin1001000011101100…
…1011000110111101
320021110011111102202
42100323023012331
514434421243401
61041134001245
7114152552261
oct22073130675
96243144382
102431431101
1110385301a0
1257a346225
132c9972138
14190cc20a1
15e36d406b
hex90ecb1bd

2431431101 has 16 divisors (see below), whose sum is σ = 2671958016. Its totient is φ = 2194200000.

The previous prime is 2431431089. The next prime is 2431431109. The reversal of 2431431101 is 1011341342.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2431431101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431431109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2111876 + ... + 2113026.

It is an arithmetic number, because the mean of its divisors is an integer number (166997376).

Almost surely, 22431431101 is an apocalyptic number.

It is an amenable number.

2431431101 is a deficient number, since it is larger than the sum of its proper divisors (240526915).

2431431101 is a wasteful number, since it uses less digits than its factorization.

2431431101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2431431101 is about 49309.5437111316. The cubic root of 2431431101 is about 1344.6852957458.

Adding to 2431431101 its reverse (1011341342), we get a palindrome (3442772443).

The spelling of 2431431101 in words is "two billion, four hundred thirty-one million, four hundred thirty-one thousand, one hundred one".

Divisors: 1 11 181 1061 1151 1991 11671 12661 192041 208331 1221211 2112451 2291641 13433321 221039191 2431431101