Search a number
-
+
10214001 = 3272192353
BaseRepresentation
bin100110111101…
…101001110001
3201012220222100
4212331221301
510103322001
61002531013
7152550300
oct46755161
921186870
1010214001
115846a26
123506a69
1321680b5
1414dc437
15d6b586
hex9bda71

10214001 has 72 divisors (see below), whose sum is σ = 19206720. Its totient is φ = 5189184.

The previous prime is 10213999. The next prime is 10214027. The reversal of 10214001 is 10041201.

It is a happy number.

It is not a de Polignac number, because 10214001 - 21 = 10213999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10214041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192691 + ... + 192743.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 210214001 is an apocalyptic number.

It is an amenable number.

10214001 is a deficient number, since it is larger than the sum of its proper divisors (8992719).

10214001 is a wasteful number, since it uses less digits than its factorization.

10214001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10214001 is about 3195.9350744344. The cubic root of 10214001 is about 216.9694719455.

Adding to 10214001 its reverse (10041201), we get a palindrome (20255202).

The spelling of 10214001 in words is "ten million, two hundred fourteen thousand, one".

Divisors: 1 3 7 9 19 21 23 49 53 57 63 69 133 147 159 161 171 207 371 399 437 441 477 483 931 1007 1113 1127 1197 1219 1311 1449 2597 2793 3021 3059 3339 3381 3657 3933 7049 7791 8379 8533 9063 9177 10143 10971 21147 21413 23161 23373 25599 27531 49343 59731 63441 64239 69483 76797 148029 162127 179193 192717 208449 444087 486381 537579 1134889 1459143 3404667 10214001