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10334021430 = 2353161318127
BaseRepresentation
bin10011001111111010…
…01010011100110110
3222200012021200101110
421213331022130312
5132131002141210
64425233535450
7514041506235
oct114775123466
928605250343
1010334021430
114423316287
122004a14586
13c88c6a7a5
14700670b1c
1540738c420
hex267f4a736

10334021430 has 64 divisors (see below), whose sum is σ = 25644883968. Its totient is φ = 2662346880.

The previous prime is 10334021389. The next prime is 10334021431. The reversal of 10334021430 is 3412043301.

It is a junction number, because it is equal to n+sod(n) for n = 10334021397 and 10334021406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334021431) 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, 561027 + ... + 579153.

It is an arithmetic number, because the mean of its divisors is an integer number (400701312).

Almost surely, 210334021430 is an apocalyptic number.

10334021430 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 10334021430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822441984).

10334021430 is an abundant number, since it is smaller than the sum of its proper divisors (15310862538).

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

10334021430 is a wasteful number, since it uses less digits than its factorization.

10334021430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18781.

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

Adding to 10334021430 its reverse (3412043301), we get a palindrome (13746064731).

The spelling of 10334021430 in words is "ten billion, three hundred thirty-four million, twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 613 930 1226 1839 3065 3678 6130 9195 18127 18390 19003 36254 38006 54381 57009 90635 95015 108762 114018 181270 190030 271905 285045 543810 561937 570090 1123874 1685811 2809685 3371622 5619370 8429055 11111851 16858110 22223702 33335553 55559255 66671106 111118510 166677765 333355530 344467381 688934762 1033402143 1722336905 2066804286 3444673810 5167010715 10334021430