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105202043430 = 235112910992899
BaseRepresentation
bin110000111111010000…
…1111100101000100110
3101001112201012112021220
41201332201330220212
53210423210342210
6120155032521210
710413001420611
oct1417641745046
9331481175256
10105202043430
11406858a1350
121847bb50206
139bc748c753
14513dcb7178
152b0aca0c70
hex187e87ca26

105202043430 has 64 divisors (see below), whose sum is σ = 284935968000. Its totient is φ = 24624091520.

The previous prime is 105202043423. The next prime is 105202043437. The reversal of 105202043430 is 34340202501.

It is an interprime number because it is at equal distance from previous prime (105202043423) and next prime (105202043437).

It is a super-2 number, since 2×1052020434302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105202043430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202043437) 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, 5486880 + ... + 5506019.

It is an arithmetic number, because the mean of its divisors is an integer number (4452124500).

Almost surely, 2105202043430 is an apocalyptic number.

105202043430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105202043430 is an abundant number, since it is smaller than the sum of its proper divisors (179733924570).

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

105202043430 is a wasteful number, since it uses less digits than its factorization.

105202043430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992949.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 105202043430 its reverse (34340202501), we get a palindrome (139542245931).

The spelling of 105202043430 in words is "one hundred five billion, two hundred two million, forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 10992899 21985798 32978697 54964495 65957394 109928990 120921889 164893485 241843778 318794071 329786970 362765667 604609445 637588142 725531334 956382213 1209218890 1593970355 1813828335 1912764426 3187940710 3506734781 3627656670 4781911065 7013469562 9563822130 10520204343 17533673905 21040408686 35067347810 52601021715 105202043430