Search a number
-
+
103032220012131 = 3174353569877043
BaseRepresentation
bin10111011011010100001110…
…110111111100111001100011
3111111210210011120020000020110
4113123110032313330321203
5102001034441310342011
61003044203132542403
730462555314033634
oct2733241667747143
9444723146200213
10103032220012131
112a9137a0174953
12b680402021a03
134564b86c58387
141b62b00d1d88b
15bda1879adba6
hex5db50edfce63

103032220012131 has 32 divisors (see below), whose sum is σ = 148842926749440. Its totient is φ = 63142982590464.

The previous prime is 103032220012109. The next prime is 103032220012153. The reversal of 103032220012131 is 131210022230301.

It is an interprime number because it is at equal distance from previous prime (103032220012109) and next prime (103032220012153).

It is not a de Polignac number, because 103032220012131 - 26 = 103032220012067 is a prime.

It is a super-2 number, since 2×1030322200121312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103032220012098 and 103032220012107.

It is not an unprimeable number, because it can be changed into a prime (103032220012171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117038296 + ... + 117915338.

It is an arithmetic number, because the mean of its divisors is an integer number (4651341460920).

Almost surely, 2103032220012131 is an apocalyptic number.

103032220012131 is a deficient number, since it is larger than the sum of its proper divisors (45810706737309).

103032220012131 is a wasteful number, since it uses less digits than its factorization.

103032220012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930675.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103032220012131 its reverse (131210022230301), we get a palindrome (234242242242432).

The spelling of 103032220012131 in words is "one hundred three trillion, thirty-two billion, two hundred twenty million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 17 43 51 129 731 2193 53569 160707 877043 910673 2303467 2631129 2732019 6910401 14909731 37712849 39158939 44729193 113138547 117476817 641118433 1923355299 46982316467 140946949401 798699379939 2020239608081 2396098139817 6060718824243 34344073337377 103032220012131