Search a number
-
+
10225244252201 = 1110142832148877
BaseRepresentation
bin1001010011001100000000…
…0011010010100000101001
31100012112010212000211011112
42110303000003102200221
52320012300012032301
633425225023040105
72103515041035236
oct224630003224051
940175125024145
1010225244252201
113292557899570
121191879740035
1359230c490324
14274c93bb878d
1512aeae7359bb
hex94cc00d2829

10225244252201 has 16 divisors (see below), whose sum is σ = 11267891062848. Its totient is φ = 9201487032000.

The previous prime is 10225244252191. The next prime is 10225244252207.

10225244252201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-10225244252201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10225244252207) 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, 3683975 + ... + 5832851.

It is an arithmetic number, because the mean of its divisors is an integer number (704243191428).

Almost surely, 210225244252201 is an apocalyptic number.

10225244252201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10225244252201 is a deficient number, since it is larger than the sum of its proper divisors (1042646810647).

10225244252201 is a wasteful number, since it uses less digits than its factorization.

10225244252201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153272.

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 1022524 and 4252201, that added together give a palindrome (5274725).

The spelling of 10225244252201 in words is "ten trillion, two hundred twenty-five billion, two hundred forty-four million, two hundred fifty-two thousand, two hundred one".

Divisors: 1 11 101 1111 4283 47113 432583 2148877 4758413 23637647 217036577 2387402347 9203640191 101240042101 929567659291 10225244252201