Search a number
-
+
10010520021501 = 3229135241283601
BaseRepresentation
bin1001000110101100000101…
…1111010110100111111101
31022102222220100111201100100
42101223001133112213331
52303003021111142001
633142434105351313
72052144006142026
oct221530137264775
938388810451310
1010010520021501
11320a48a63a96a
121158132a98539
13577cac7bac0c
14268724379c4d
151255e37c1586
hex91ac17d69fd

10010520021501 has 24 divisors (see below), whose sum is σ = 14958411656760. Its totient is φ = 6443482752000.

The previous prime is 10010520021457. The next prime is 10010520021511. The reversal of 10010520021501 is 10512002501001.

10010520021501 is a `hidden beast` number, since 100 + 10 + 52 + 0 + 0 + 2 + 1 + 501 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4619602254276 + 5390917767225 = 2149326^2 + 2321835^2 .

It is not a de Polignac number, because 10010520021501 - 210 = 10010520020477 is a prime.

It is a super-2 number, since 2×100105200215012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010520021511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35156101 + ... + 35439701.

It is an arithmetic number, because the mean of its divisors is an integer number (623267152365).

Almost surely, 210010520021501 is an apocalyptic number.

It is an amenable number.

10010520021501 is a deficient number, since it is larger than the sum of its proper divisors (4947891635259).

10010520021501 is a wasteful number, since it uses less digits than its factorization.

10010520021501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418877 (or 418874 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 10010520021501 its reverse (10512002501001), we get a palindrome (20522522522502).

The spelling of 10010520021501 in words is "ten trillion, ten billion, five hundred twenty million, twenty-one thousand, five hundred one".

Divisors: 1 3 9 29 87 261 135241 283601 405723 850803 1217169 2552409 3921989 8224429 11765967 24673287 35297901 74019861 38354482841 115063448523 345190345569 1112280002389 3336840007167 10010520021501