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10114434330 = 23571113379103
BaseRepresentation
bin10010110101101111…
…00000010100011010
3222002220002111111220
421122313200110122
5131203243344310
64351351232510
7505434162510
oct113267402432
928086074456
1010114434330
114320375240
121b63378736
13c52615cb0
146bd4304b0
153e2e64670
hex25ade051a

10114434330 has 256 divisors, whose sum is σ = 33477083136. Its totient is φ = 1887390720.

The previous prime is 10114434311. The next prime is 10114434347. The reversal of 10114434330 is 3343441101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10114434330.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1106559 + ... + 1115661.

It is an arithmetic number, because the mean of its divisors is an integer number (130769856).

Almost surely, 210114434330 is an apocalyptic number.

10114434330 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 10114434330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738541568).

10114434330 is an abundant number, since it is smaller than the sum of its proper divisors (23362648806).

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

10114434330 is a wasteful number, since it uses less digits than its factorization.

10114434330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10114434330 its reverse (3343441101), we get a palindrome (13457875431).

It can be divided in two parts, 10114 and 434330, that added together give a palindrome (444444).

The spelling of 10114434330 in words is "ten billion, one hundred fourteen million, four hundred thirty-four thousand, three hundred thirty".