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23342320010430 = 2325838969348401
BaseRepresentation
bin1010100111010110011101…
…01100010100010010111110
310001122111121102020002100200
411103223032230110102332
511024420032410313210
6121351151435304330
74626266310245061
oct523531654242276
9101574542202320
1023342320010430
11748a471127243
12274ba938ab0a6
13100422c555015
145a9abaa208d8
152a72c22960c0
hex153aceb144be

23342320010430 has 96 divisors (see below), whose sum is σ = 61428261716640. Its totient is φ = 6148919961600.

The previous prime is 23342320010419. The next prime is 23342320010437. The reversal of 23342320010430 is 3401002324332.

23342320010430 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 23 + 200 + 1 + 0 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23342320010394 and 23342320010403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23342320010437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66824230 + ... + 67172630.

It is an arithmetic number, because the mean of its divisors is an integer number (639877726215).

Almost surely, 223342320010430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23342320010430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30714130858320).

23342320010430 is an abundant number, since it is smaller than the sum of its proper divisors (38085941706210).

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

23342320010430 is a wasteful number, since it uses less digits than its factorization.

23342320010430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357466 (or 357463 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23342320010430 its reverse (3401002324332), we get a palindrome (26743322334762).

The spelling of 23342320010430 in words is "twenty-three trillion, three hundred forty-two billion, three hundred twenty million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 8969 17938 26907 44845 53814 80721 89690 134535 161442 269070 348401 403605 696802 744427 807210 1045203 1488854 1742005 2090406 2233281 3135609 3484010 3722135 4466562 5226015 6271218 6699843 7444270 10452030 11166405 13399686 15678045 22332810 28917283 31356090 33499215 57834566 66998430 86751849 144586415 173503698 260255547 289172830 433759245 520511094 867518490 1301277735 2602555470 3124808569 6249617138 9374425707 15624042845 18748851414 28123277121 31248085690 46872128535 56246554242 93744257070 140616385605 259359111227 281232771210 518718222454 778077333681 1296795556135 1556154667362 2334232001043 2593591112270 3890386668405 4668464002086 7780773336810 11671160005215 23342320010430