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103301301311131 = 71137242811493299
BaseRepresentation
bin10111011111001110110101…
…010111101001011010011011
3111112202111201022011021202111
4113133032311113221122123
5102014442031113424011
61003411543535013151
730521162355243010
oct2737166527513233
9445674638137674
10103301301311131
112aa079215924a0
12b70459896a1b7
13458436a27b421
141b71b499cd707
15be2185a71121
hex5df3b55e969b

103301301311131 has 32 divisors (see below), whose sum is σ = 132277613068800. Its totient is φ = 78315714950400.

The previous prime is 103301301311129. The next prime is 103301301311141. The reversal of 103301301311131 is 131113103103301.

It is a cyclic number.

It is not a de Polignac number, because 103301301311131 - 21 = 103301301311129 is a prime.

It is a super-2 number, since 2×1033013013111312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103301301311141) 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, 68429920 + ... + 69923218.

It is an arithmetic number, because the mean of its divisors is an integer number (4133675408400).

Almost surely, 2103301301311131 is an apocalyptic number.

103301301311131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103301301311131 is a deficient number, since it is larger than the sum of its proper divisors (28976311757669).

103301301311131 is a wasteful number, since it uses less digits than its factorization.

103301301311131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517635.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 103301301311131 its reverse (131113103103301), we get a palindrome (234414404414432).

The spelling of 103301301311131 in words is "one hundred three trillion, three hundred one billion, three hundred one million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 7 11 37 77 259 407 2849 24281 169967 267091 898397 1493299 1869637 6288779 9882367 10453093 16426289 55252063 69176569 114984023 386764441 607772693 4254408851 36258793019 253811551133 398846723209 1341575341703 2791927062463 9391027391921 14757328758733 103301301311131