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10103124011431 = 1167107149859841
BaseRepresentation
bin1001001100000101000100…
…0111100010100110100111
31022202211221002020211010011
42103001101013202212213
52311012144221331211
633253151110311051
72061632555104663
oct223012107424647
938684832224104
1010103124011431
113245790131150
121172077958487
13583949c4c229
1426cdcb0378a3
15127c1356a921
hex930511e29a7

10103124011431 has 32 divisors (see below), whose sum is σ = 11366423366400. Its totient is φ = 8902852147200.

The previous prime is 10103124011419. The next prime is 10103124011443. The reversal of 10103124011431 is 13411042130101.

It is an interprime number because it is at equal distance from previous prime (10103124011419) and next prime (10103124011443).

It is not a de Polignac number, because 10103124011431 - 213 = 10103124003239 is a prime.

It is a super-2 number, since 2×101031240114312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103124081431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11320071 + ... + 12179911.

It is an arithmetic number, because the mean of its divisors is an integer number (355200730200).

Almost surely, 210103124011431 is an apocalyptic number.

10103124011431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10103124011431 is a deficient number, since it is larger than the sum of its proper divisors (1263299354969).

10103124011431 is a wasteful number, since it uses less digits than its factorization.

10103124011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860175.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 10103124011431 its reverse (13411042130101), we get a palindrome (23514166141532).

The spelling of 10103124011431 in words is "ten trillion, one hundred three billion, one hundred twenty-four million, eleven thousand, four hundred thirty-one".

Divisors: 1 11 67 107 149 737 1177 1639 7169 9983 15943 78859 109813 175373 859841 1068181 9458251 11749991 57609347 92002987 128116309 633702817 1012032857 1409279399 6164200129 8583792703 13708445063 67806201419 94421719733 150792895693 918465819221 10103124011431