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10011101430 = 2351173341387
BaseRepresentation
bin10010101001011010…
…10100100011110110
3221211200122122102110
421110231110203312
5131000320221210
64333220351450
7503040646431
oct112455244366
927750578373
1010011101430
114278007750
121b34845586
13c370a6475
146ad812818
153d8d52420
hex254b548f6

10011101430 has 64 divisors (see below), whose sum is σ = 26247276288. Its totient is φ = 2423564160.

The previous prime is 10011101383. The next prime is 10011101431. The reversal of 10011101430 is 3410111001.

10011101430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221197 + ... + 262583.

It is an arithmetic number, because the mean of its divisors is an integer number (410113692).

Almost surely, 210011101430 is an apocalyptic number.

10011101430 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 10011101430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123638144).

10011101430 is an abundant number, since it is smaller than the sum of its proper divisors (16236174858).

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

10011101430 is a wasteful number, since it uses less digits than its factorization.

10011101430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42141.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10011101430 its reverse (3410111001), we get a palindrome (13421212431).

The spelling of 10011101430 in words is "ten billion, eleven million, one hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 733 1466 2199 3665 4398 7330 8063 10995 16126 21990 24189 40315 41387 48378 80630 82774 120945 124161 206935 241890 248322 413870 455257 620805 910514 1241610 1365771 2276285 2731542 4552570 6828855 13657710 30336671 60673342 91010013 151683355 182020026 303366710 333703381 455050065 667406762 910100130 1001110143 1668516905 2002220286 3337033810 5005550715 10011101430