Search a number
-
+
103003031131 = 71113612116811
BaseRepresentation
bin101111111101101110…
…1011000011001011011
3100211212110101010111221
41133323131120121123
53141422233444011
6115152520232511
710304340214210
oct1377335303133
9324773333457
10103003031131
113a757586910
1217b6760b737
139936a15840
144db1c15b07
152a2cbcb971
hex17fb75865b

103003031131 has 32 divisors (see below), whose sum is σ = 138328598016. Its totient is φ = 74071584000.

The previous prime is 103003031099. The next prime is 103003031149. The reversal of 103003031131 is 131130300301.

It is a cyclic number.

It is not a de Polignac number, because 103003031131 - 25 = 103003031099 is a prime.

It is a super-2 number, since 2×1030030311312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103003431131) 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, 6118716 + ... + 6135526.

It is an arithmetic number, because the mean of its divisors is an integer number (4322768688).

Almost surely, 2103003031131 is an apocalyptic number.

103003031131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103003031131 is a deficient number, since it is larger than the sum of its proper divisors (35325566885).

103003031131 is a wasteful number, since it uses less digits than its factorization.

103003031131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22963.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 103003031131 its reverse (131130300301), we get a palindrome (234133331432).

The spelling of 103003031131 in words is "one hundred three billion, three million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 6121 16811 42847 67331 79573 117677 184921 218543 471317 557011 875303 1294447 1529801 2403973 6127121 16827811 102900131 720300917 1131901441 1337701703 7923310087 9363911921 14714718733 103003031131