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10144122330 = 2354725128663
BaseRepresentation
bin10010111001010001…
…10000010111011010
3222011221221210210110
421130220300113122
5131233343403310
64354331425150
7506244421446
oct113450602732
928157853713
1010144122330
114336102281
121b712b51b6
13c5880bc64
146c335b826
153e587ad20
hex25ca305da

10144122330 has 64 divisors (see below), whose sum is σ = 24963821568. Its totient is φ = 2636904000.

The previous prime is 10144122323. The next prime is 10144122341. The reversal of 10144122330 is 3322144101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10144122297 and 10144122306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339579 + ... + 368241.

It is an arithmetic number, because the mean of its divisors is an integer number (390059712).

Almost surely, 210144122330 is an apocalyptic number.

10144122330 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 10144122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481910784).

10144122330 is an abundant number, since it is smaller than the sum of its proper divisors (14819699238).

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

10144122330 is a wasteful number, since it uses less digits than its factorization.

10144122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28971.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10144122330 its reverse (3322144101), we get a palindrome (13466266431).

The spelling of 10144122330 in words is "ten billion, one hundred forty-four million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 251 282 470 502 705 753 1255 1410 1506 2510 3765 7530 11797 23594 28663 35391 57326 58985 70782 85989 117970 143315 171978 176955 286630 353910 429945 859890 1347161 2694322 4041483 6735805 7194413 8082966 13471610 14388826 20207415 21583239 35972065 40414830 43166478 71944130 107916195 215832390 338137411 676274822 1014412233 1690687055 2028824466 3381374110 5072061165 10144122330