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10543424431100 = 22521125211672471
BaseRepresentation
bin1001100101101101010100…
…0100010110001111111100
31101022221102101011121220212
42121123111010112033330
52340220413123243400
634231325440331552
72135510612654621
oct231332504261774
941287371147825
1010543424431100
1133a5494252300
121223477613bb8
135b6318956932
1428643964a348
151343d2ede335
hex996d51163fc

10543424431100 has 108 divisors (see below), whose sum is σ = 25196529912624. Its totient is φ = 3826611360000.

The previous prime is 10543424431087. The next prime is 10543424431103. The reversal of 10543424431100 is 113442434501.

It is a super-2 number, since 2×105434244311002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10543424431103) 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 35 ways as a sum of consecutive naturals, for example, 5467865 + ... + 7140335.

Almost surely, 210543424431100 is an apocalyptic number.

10543424431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10543424431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598264956312).

10543424431100 is an abundant number, since it is smaller than the sum of its proper divisors (14653105481524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10543424431100 is a wasteful number, since it uses less digits than its factorization.

10543424431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673028 (or 1673010 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 10543424431100 its reverse (113442434501), we get a palindrome (10656866865601).

The spelling of 10543424431100 in words is "ten trillion, five hundred forty-three billion, four hundred twenty-four million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 521 550 605 1042 1100 1210 2084 2420 2605 3025 5210 5731 6050 10420 11462 12100 13025 22924 26050 28655 52100 57310 63041 114620 126082 143275 252164 286550 315205 573100 630410 1260820 1576025 1672471 3152050 3344942 6304100 6689884 8362355 16724710 18397181 33449420 36794362 41811775 73588724 83623550 91985905 167247100 183971810 202368991 367943620 404737982 459929525 809475964 871357391 919859050 1011844955 1742714782 1839718100 2023689910 3485429564 4047379820 4356786955 5059224775 8713573910 9584931301 10118449550 17427147820 19169862602 20236899100 21783934775 38339725204 43567869550 47924656505 87135739100 95849313010 105434244311 191698626020 210868488622 239623282525 421736977244 479246565050 527171221555 958493130100 1054342443110 2108684886220 2635856107775 5271712215550 10543424431100