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10505204430 = 235773685271
BaseRepresentation
bin10011100100010100…
…01011001011001110
31000010010101200022120
421302022023023032
5133003313020210
64454230553410
7521220523110
oct116212131316
930103350276
1010505204430
114500a06636
122052208866
13cb55753c6
147192b13b0
15417403270
hex27228b2ce

10505204430 has 64 divisors (see below), whose sum is σ = 29209033728. Its totient is φ = 2368293120.

The previous prime is 10505204429. The next prime is 10505204431. The reversal of 10505204430 is 3440250501.

It is an interprime number because it is at equal distance from previous prime (10505204429) and next prime (10505204431).

It is a super-2 number, since 2×105052044302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505204430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505204431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327306 + ... + 357965.

It is an arithmetic number, because the mean of its divisors is an integer number (456391152).

Almost surely, 210505204430 is an apocalyptic number.

10505204430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505204430 is an abundant number, since it is smaller than the sum of its proper divisors (18703829298).

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

10505204430 is a wasteful number, since it uses less digits than its factorization.

10505204430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685361.

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 10505204430 its reverse (3440250501), we get a palindrome (13945454931).

The spelling of 10505204430 in words is "ten billion, five hundred five million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2555 3066 5110 7665 15330 685271 1370542 2055813 3426355 4111626 4796897 6852710 9593794 10279065 14390691 20558130 23984485 28781382 47968970 50024783 71953455 100049566 143906910 150074349 250123915 300148698 350173481 500247830 700346962 750371745 1050520443 1500743490 1750867405 2101040886 3501734810 5252602215 10505204430