Search a number
-
+
10122232131001 = 88318676140041
BaseRepresentation
bin1001001101001100010000…
…0011001110110110111001
31022211200020202112212102101
42103103010003032312321
52311320312411143001
633310031135503401
72063210230331254
oct223230403166671
938750222485371
1010122232131001
1132528a6174201
12117590b087b61
135856a3914163
1426dcc0ab809b
15128480d60a01
hex934c40cedb9

10122232131001 has 8 divisors (see below), whose sum is σ = 10139125035104. Its totient is φ = 10105351512480.

The previous prime is 10122232130971. The next prime is 10122232131059. The reversal of 10122232131001 is 10013123222101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122232131001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122232131001.

It is not an unprimeable number, because it can be changed into a prime (10122232131901) 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, 1421460 + ... + 4718581.

It is an arithmetic number, because the mean of its divisors is an integer number (1267390629388).

Almost surely, 210122232131001 is an apocalyptic number.

It is an amenable number.

10122232131001 is a deficient number, since it is larger than the sum of its proper divisors (16892904103).

10122232131001 is an equidigital number, since it uses as much as digits as its factorization.

10122232131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142791.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10122232131001 its reverse (10013123222101), we get a palindrome (20135355353102).

The spelling of 10122232131001 in words is "ten trillion, one hundred twenty-two billion, two hundred thirty-two million, one hundred thirty-one thousand, one".

Divisors: 1 883 1867 1648561 6140041 5421656203 11463456547 10122232131001