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100434023431 = 71071094632657
BaseRepresentation
bin101110110001001010…
…1011001010000000111
3100121020102100000110121
41131202111121100013
53121142102222211
6114045545402411
710153564053640
oct1354225312007
9317212300417
10100434023431
113965942a355
121756b199407
139617704441
144c0a9606c7
15292c3be271
hex1762559407

100434023431 has 32 divisors (see below), whose sum is σ = 117213972480. Its totient is φ = 84285121536.

The previous prime is 100434023419. The next prime is 100434023447. The reversal of 100434023431 is 134320434001.

It is not a de Polignac number, because 100434023431 - 25 = 100434023399 is a prime.

It is a super-2 number, since 2×1004340234312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100434023396 and 100434023405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434023411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37798455 + ... + 37801111.

It is an arithmetic number, because the mean of its divisors is an integer number (3662936640).

Almost surely, 2100434023431 is an apocalyptic number.

100434023431 is a deficient number, since it is larger than the sum of its proper divisors (16779949049).

100434023431 is a wasteful number, since it uses less digits than its factorization.

100434023431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 100434023431 its reverse (134320434001), we get a palindrome (234754457432).

The spelling of 100434023431 in words is "one hundred billion, four hundred thirty-four million, twenty-three thousand, four hundred thirty-one".

Divisors: 1 7 107 109 463 749 763 2657 3241 11663 18599 49541 50467 81641 284299 289613 346787 353269 1230191 1990093 2027291 5399969 8611337 30988591 37799783 131630437 134090819 216920137 921413059 938635733 14347717633 100434023431