Search a number
-
+
10022961 = 3132331103
BaseRepresentation
bin100110001111…
…000000110001
3200212012220210
4212033000301
510031213321
6554454333
7151123314
oct46170061
920765823
1010022961
115726443
1234343a9
1320cc160
14148c97b
15d2eb76
hex98f031

10022961 has 16 divisors (see below), whose sum is σ = 14466816. Its totient is φ = 6135936.

The previous prime is 10022959. The next prime is 10022977. The reversal of 10022961 is 16922001.

10022961 = T169 + T170 + ... + T401.

It is not a de Polignac number, because 10022961 - 21 = 10022959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8536 + ... + 9638.

It is an arithmetic number, because the mean of its divisors is an integer number (904176).

Almost surely, 210022961 is an apocalyptic number.

It is an amenable number.

10022961 is a deficient number, since it is larger than the sum of its proper divisors (4443855).

10022961 is a wasteful number, since it uses less digits than its factorization.

10022961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10022961 is about 3165.9060314545. The cubic root of 10022961 is about 215.6082362099.

Adding to 10022961 its reverse (16922001), we get a palindrome (26944962).

The spelling of 10022961 in words is "ten million, twenty-two thousand, nine hundred sixty-one".

Divisors: 1 3 13 39 233 699 1103 3029 3309 9087 14339 43017 256999 770997 3340987 10022961