Search a number
-
+
10121120301 = 313732457179
BaseRepresentation
bin10010110110100010…
…00000101000101101
3222010100200011221110
421123101000220231
5131212001322201
64352150422233
7505545050235
oct113321005055
928110604843
1010121120301
114324121536
121b65661979
13c53b172a6
146c0290cc5
153e38356d6
hex25b440a2d

10121120301 has 8 divisors (see below), whose sum is σ = 13504661280. Its totient is φ = 6742496432.

The previous prime is 10121120257. The next prime is 10121120327. The reversal of 10121120301 is 10302112101.

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 10121120301 - 26 = 10121120237 is a prime.

It is a super-3 number, since 3×101211203013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120351) 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, 1224471 + ... + 1232708.

It is an arithmetic number, because the mean of its divisors is an integer number (1688082660).

Almost surely, 210121120301 is an apocalyptic number.

It is an amenable number.

10121120301 is a deficient number, since it is larger than the sum of its proper divisors (3383540979).

10121120301 is a wasteful number, since it uses less digits than its factorization.

10121120301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458555.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10121120301 its reverse (10302112101), we get a palindrome (20423232402).

The spelling of 10121120301 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, three hundred one".

Divisors: 1 3 1373 4119 2457179 7371537 3373706767 10121120301