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10213403430 = 2354313757791
BaseRepresentation
bin10011000001100010…
…00010101100100110
3222100210022122121010
421200301002230212
5131404112402210
64405244403050
7511045332246
oct114061025446
928323278533
1010213403430
11437122218a
121b90546486
13c69c884a9
146cc633b26
153eb9b3920
hex260c42b26

10213403430 has 64 divisors (see below), whose sum is σ = 25265737728. Its totient is φ = 2640771840.

The previous prime is 10213403411. The next prime is 10213403461. The reversal of 10213403430 is 3430431201.

It is a junction number, because it is equal to n+sod(n) for n = 10213403397 and 10213403406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147835 + ... + 205625.

It is an arithmetic number, because the mean of its divisors is an integer number (394777152).

Almost surely, 210213403430 is an apocalyptic number.

10213403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213403430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632868864).

10213403430 is an abundant number, since it is smaller than the sum of its proper divisors (15052334298).

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

10213403430 is a wasteful number, since it uses less digits than its factorization.

10213403430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57981.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10213403430 its reverse (3430431201), we get a palindrome (13643834631).

The spelling of 10213403430 in words is "ten billion, two hundred thirteen million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 137 215 258 274 411 430 645 685 822 1290 1370 2055 4110 5891 11782 17673 29455 35346 57791 58910 88365 115582 173373 176730 288955 346746 577910 866865 1733730 2485013 4970026 7455039 7917367 12425065 14910078 15834734 23752101 24850130 37275195 39586835 47504202 74550390 79173670 118760505 237521010 340446781 680893562 1021340343 1702233905 2042680686 3404467810 5106701715 10213403430