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103123423240431 = 311295091723122869
BaseRepresentation
bin10111011100101001001011…
…000000101010000011101111
3111112010111120200012001021220
4113130221023000222003233
5102004033232322143211
61003154125134354423
730502264363502466
oct2734511300520357
9445114520161256
10103123423240431
112a949441aa71a0
12b69601595ba13
134570660132359
141b672b394b9dd
15bdc7247b2806
hex5dca4b02a0ef

103123423240431 has 64 divisors (see below), whose sum is σ = 155566395072000. Its totient is φ = 60189907438080.

The previous prime is 103123423240429. The next prime is 103123423240477. The reversal of 103123423240431 is 134042324321301.

It is not a de Polignac number, because 103123423240431 - 21 = 103123423240429 is a prime.

It is a super-2 number, since 2×1031234232404312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 103123423240392 and 103123423240401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123423244431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839234265 + ... + 839357133.

It is an arithmetic number, because the mean of its divisors is an integer number (2430724923000).

Almost surely, 2103123423240431 is an apocalyptic number.

103123423240431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103123423240431 is a deficient number, since it is larger than the sum of its proper divisors (52442971831569).

103123423240431 is a wasteful number, since it uses less digits than its factorization.

103123423240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125144.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 103123423240431 its reverse (134042324321301), we get a palindrome (237165747561732).

The spelling of 103123423240431 in words is "one hundred three trillion, one hundred twenty-three billion, four hundred twenty-three million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 509 957 1527 1723 5169 5599 14761 16797 18953 44283 49967 56859 122869 149901 162371 368607 487113 549637 877007 1351559 1648911 2631021 3563201 4054677 9647077 10689603 25433203 28941231 39195211 62540321 76299609 117585633 187620963 211703287 279765233 635109861 687943531 839295699 1813669309 2063830593 2328736157 5441007927 6139395323 6986208471 18418185969 19950362399 59851087197 67533348553 107756973083 202600045659 323270919249 1185326703913 3124952219407 3555980111739 9374856658221 34374474413477 103123423240431