Search a number
-
+
103020321303131 = 1941691285167129
BaseRepresentation
bin10111011011001001001001…
…101001111110101001011011
3111111202122110022200222000112
4113123021021221332221123
5102000341104223200011
61003034514322154535
730461654412500141
oct2733111151765133
9444678408628015
10103020321303131
112a909744706751
12b67a0411b2a4b
134563a0ba99b6b
141b622d294b591
15bd9bdd09a58b
hex5db249a7ea5b

103020321303131 has 32 divisors (see below), whose sum is σ = 111288822892800. Its totient is φ = 95045192640000.

The previous prime is 103020321303023. The next prime is 103020321303143. The reversal of 103020321303131 is 131303123020301.

It is a de Polignac number, because none of the positive numbers 2k-103020321303131 is a prime.

It is a super-2 number, since 2×1030203213031312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103020321303097 and 103020321303106.

It is not an unprimeable number, because it can be changed into a prime (103020321303161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534628375 + ... + 1534695503.

It is an arithmetic number, because the mean of its divisors is an integer number (3477775715400).

Almost surely, 2103020321303131 is an apocalyptic number.

103020321303131 is a deficient number, since it is larger than the sum of its proper divisors (8268501589669).

103020321303131 is a wasteful number, since it uses less digits than its factorization.

103020321303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70731.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103020321303131 its reverse (131303123020301), we get a palindrome (234323444323432).

The spelling of 103020321303131 in words is "one hundred three trillion, twenty billion, three hundred twenty-one million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 19 41 691 779 2851 13129 28331 54169 67129 116891 538289 1275451 1970041 2220929 2752289 37430779 46386139 52293491 80771681 191384779 881336641 1534661939 1901831699 3636310801 7846775939 36134802281 132246882289 149088742841 2512690763491 5422122173849 103020321303131