Search a number
-
+
101314314431 = 1120693445097
BaseRepresentation
bin101111001011011001…
…1011100000010111111
3100200111202202102200222
41132112303130002333
53124442431030211
6114313153211555
710214443315001
oct1362663340277
9320452672628
10101314314431
1139a7031aa80
1217775b60bbb
139727bb9ca5
144c9182a371
15297e8061db
hex1796cdc0bf

101314314431 has 8 divisors (see below), whose sum is σ = 110530296144. Its totient is φ = 92099264320.

The previous prime is 101314314427. The next prime is 101314314457. The reversal of 101314314431 is 134413413101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101314314431 - 22 = 101314314427 is a prime.

It is a super-2 number, since 2×1013143144312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101314314431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314314331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5075 + ... + 450171.

It is an arithmetic number, because the mean of its divisors is an integer number (13816287018).

Almost surely, 2101314314431 is an apocalyptic number.

101314314431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101314314431 is a deficient number, since it is larger than the sum of its proper divisors (9215981713).

101314314431 is a wasteful number, since it uses less digits than its factorization.

101314314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465801.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101314314431 its reverse (134413413101), we get a palindrome (235727727532).

The spelling of 101314314431 in words is "one hundred one billion, three hundred fourteen million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 11 20693 227623 445097 4896067 9210392221 101314314431