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10413224430 = 2357437315797
BaseRepresentation
bin10011011001010110…
…10011000111101110
3222212201022121110220
421230223103013232
5132311241140210
64441143312210
7516022642620
oct115453230756
928781277426
1010413224430
114463aa2704
12202744b666
13c9c4ac17b
1470adaac10
1540e2d4c70
hex26cad31ee

10413224430 has 128 divisors (see below), whose sum is σ = 29628453888. Its totient is φ = 2292820992.

The previous prime is 10413224407. The next prime is 10413224441. The reversal of 10413224430 is 3442231401.

It is a self number, because there is not a number n which added to its sum of digits gives 10413224430.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 651292 + ... + 667088.

It is an arithmetic number, because the mean of its divisors is an integer number (231472296).

Almost surely, 210413224430 is an apocalyptic number.

10413224430 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 10413224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814226944).

10413224430 is an abundant number, since it is smaller than the sum of its proper divisors (19215229458).

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

10413224430 is a wasteful number, since it uses less digits than its factorization.

10413224430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10413224430 its reverse (3442231401), we get a palindrome (13855455831).

The spelling of 10413224430 in words is "ten billion, four hundred thirteen million, two hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 73 86 105 129 146 210 215 219 258 301 365 430 438 511 602 645 730 903 1022 1095 1290 1505 1533 1806 2190 2555 3010 3066 3139 4515 5110 6278 7665 9030 9417 15330 15695 15797 18834 21973 31390 31594 43946 47085 47391 65919 78985 94170 94782 109865 110579 131838 157970 219730 221158 236955 329595 331737 473910 552895 659190 663474 679271 1105790 1153181 1358542 1658685 2037813 2306362 3317370 3396355 3459543 4075626 4754897 5765905 6792710 6919086 8072267 9509794 10189065 11531810 14264691 16144534 17297715 20378130 23774485 24216801 28529382 34595430 40361335 47548970 48433602 49586783 71323455 80722670 99173566 121084005 142646910 148760349 242168010 247933915 297520698 347107481 495867830 694214962 743801745 1041322443 1487603490 1735537405 2082644886 3471074810 5206612215 10413224430