Search a number
-
+
1401110010001 = 131006091071253
BaseRepresentation
bin10100011000111000101…
…010100001100010010001
311221221111202200010221101
4110120320222201202101
5140423433130310001
62551354442024401
7203140545403552
oct24307052414221
94857452603841
101401110010001
114a023108a229
121a7664aa8101
13a217c880b20
144bb57bd2329
15266a5821a01
hex14638aa1891

1401110010001 has 8 divisors (see below), whose sum is σ = 1508904109160. Its totient is φ = 1293318254592.

The previous prime is 1401110009993. The next prime is 1401110010031. The reversal of 1401110010001 is 1000100111041.

It can be written as a sum of positive squares in 4 ways, for example, as 147659590225 + 1253450419776 = 384265^2 + 1119576^2 .

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

It is not a de Polignac number, because 1401110010001 - 23 = 1401110009993 is a prime.

It is a super-3 number, since 3×14011100100013 (a number of 37 digits) contains 333 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 1401110010001.

It is not an unprimeable number, because it can be changed into a prime (1401110010031) 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, 772291 + ... + 1843543.

It is an arithmetic number, because the mean of its divisors is an integer number (188613013645).

Almost surely, 21401110010001 is an apocalyptic number.

It is an amenable number.

1401110010001 is a deficient number, since it is larger than the sum of its proper divisors (107794099159).

1401110010001 is a wasteful number, since it uses less digits than its factorization.

1401110010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171875.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1401110010001 its reverse (1000100111041), we get a palindrome (2401210121042).

The spelling of 1401110010001 in words is "one trillion, four hundred one billion, one hundred ten million, ten thousand, one".

Divisors: 1 13 100609 1071253 1307917 13926289 107777693077 1401110010001