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103041431031 = 37114771133673
BaseRepresentation
bin101111111110110111…
…1110111010111110111
3100211222010122001021110
41133331233313113313
53142012101243111
6115200411250103
710305314466240
oct1377557672767
9324863561243
10103041431031
113a777224270
1217b78449933
13994196bc86
144db6d6dcc7
152a312645a6
hex17fdbf75f7

103041431031 has 64 divisors (see below), whose sum is σ = 177399300096. Its totient is φ = 51650860800.

The previous prime is 103041431011. The next prime is 103041431041. The reversal of 103041431031 is 130134140301.

It is a de Polignac number, because none of the positive numbers 2k-103041431031 is a prime.

It is a super-2 number, since 2×1030414310312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103041430989 and 103041431007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103041431011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704011 + ... + 837683.

It is an arithmetic number, because the mean of its divisors is an integer number (2771864064).

Almost surely, 2103041431031 is an apocalyptic number.

103041431031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103041431031 is a deficient number, since it is larger than the sum of its proper divisors (74357869065).

103041431031 is a wasteful number, since it uses less digits than its factorization.

103041431031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133812.

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

Adding to 103041431031 its reverse (130134140301), we get a palindrome (233175571332).

The spelling of 103041431031 in words is "one hundred three billion, forty-one million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 11 21 33 47 71 77 141 213 231 329 497 517 781 987 1491 1551 2343 3337 3619 5467 10011 10857 16401 23359 36707 70077 110121 133673 256949 401019 770847 935711 1470403 2807133 4411209 6282631 9490783 10292821 18847893 28472349 30878463 43978417 66435481 69108941 104398613 131935251 199306443 207326823 313195839 446066801 483762587 730790291 1338200403 1451287761 2192370873 3122467607 4906734811 9367402821 14720204433 34347143677 103041431031