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10154311431 = 3119730710333
BaseRepresentation
bin10010111010011111…
…00111111100000111
3222012200010110121120
421131033213330013
5131244000431211
64355334045023
7506430136335
oct113517477407
928180113546
1010154311431
114340931520
121b747a9773
13c5a968904
146c4850b55
153e66ded06
hex25d3e7f07

10154311431 has 32 divisors (see below), whose sum is σ = 14972229888. Its totient is φ = 6070256640.

The previous prime is 10154311403. The next prime is 10154311481. The reversal of 10154311431 is 13411345101.

10154311431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10154311431 - 26 = 10154311367 is a prime.

It is a super-2 number, since 2×101543114312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154311481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977541 + ... + 987873.

It is an arithmetic number, because the mean of its divisors is an integer number (467882184).

Almost surely, 210154311431 is an apocalyptic number.

10154311431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10154311431 is a deficient number, since it is larger than the sum of its proper divisors (4817918457).

10154311431 is a wasteful number, since it uses less digits than its factorization.

10154311431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10154311431 its reverse (13411345101), we get a palindrome (23565656532).

The spelling of 10154311431 in words is "ten billion, one hundred fifty-four million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 11 33 97 291 307 921 1067 3201 3377 10131 10333 29779 30999 89337 113663 327569 340989 982707 1002301 3006903 3172231 9516693 11025311 33075933 34894541 104683623 307706407 923119221 3384770477 10154311431