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11301103323131 = 2329312969184087
BaseRepresentation
bin1010010001110011111000…
…1111111100011111111011
31111000101010022200022212012
42210130332033330133323
52440124124422320011
640011353304440135
72244322606202336
oct244347617743773
944011108608765
1011301103323131
113667853230206
12132629077904b
1363c8c69c808b
142b0d9503d61d
15148e7ab58a8b
hexa473e3fc7fb

11301103323131 has 32 divisors (see below), whose sum is σ = 12596920934400. Its totient is φ = 10096866743040.

The previous prime is 11301103323091. The next prime is 11301103323149. The reversal of 11301103323131 is 13132330110311.

It is a cyclic number.

It is not a de Polignac number, because 11301103323131 - 230 = 11300029581307 is a prime.

It is a super-2 number, since 2×113011033231312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11301103323097 and 11301103323106.

It is not an unprimeable number, because it can be changed into a prime (11301103323331) 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, 61297970 + ... + 61482056.

It is an arithmetic number, because the mean of its divisors is an integer number (393653779200).

Almost surely, 211301103323131 is an apocalyptic number.

11301103323131 is a deficient number, since it is larger than the sum of its proper divisors (1295817611269).

11301103323131 is a wasteful number, since it uses less digits than its factorization.

11301103323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187139.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11301103323131 its reverse (13132330110311), we get a palindrome (24433433433442).

The spelling of 11301103323131 in words is "eleven trillion, three hundred one billion, one hundred three million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 23 29 31 667 713 899 2969 20677 68287 86101 92039 184087 1980323 2116897 2669131 4234001 5338523 5706697 61390013 122786029 131254031 165494213 546554303 3806366899 12570748969 15850074787 16943183393 364551720101 389693218039 491352318397 11301103323131