Search a number
-
+
104053145340 = 22356782931223
BaseRepresentation
bin110000011101000001…
…1001111111011111100
3100221120122100110101210
41200322003033323330
53201100101122330
6115445032004420
710342351066524
oct1407203177374
9327518313353
10104053145340
11401463191a1
12181bb230710
139a7344b0b1
14507148a684
152a8eeab8b0
hex183a0cfefc

104053145340 has 96 divisors (see below), whose sum is σ = 296063470080. Its totient is φ = 27299517696.

The previous prime is 104053145321. The next prime is 104053145363. The reversal of 104053145340 is 43541350401.

104053145340 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104053145298 and 104053145307.

It is a congruent number.

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, 3316969 + ... + 3348191.

It is an arithmetic number, because the mean of its divisors is an integer number (3083994480).

Almost surely, 2104053145340 is an apocalyptic number.

104053145340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104053145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148031735040).

104053145340 is an abundant number, since it is smaller than the sum of its proper divisors (192010324740).

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

104053145340 is a wasteful number, since it uses less digits than its factorization.

104053145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32131 (or 32129 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 104053145340 its reverse (43541350401), we get a palindrome (147594495741).

The spelling of 104053145340 in words is "one hundred four billion, fifty-three million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 829 1005 1340 1658 2010 2487 3316 4020 4145 4974 8290 9948 12435 16580 24870 31223 49740 55543 62446 93669 111086 124892 156115 166629 187338 222172 277715 312230 333258 374676 468345 555430 624460 666516 833145 936690 1110860 1666290 1873380 2091941 3332580 4183882 6275823 8367764 10459705 12551646 20919410 25103292 25883867 31379115 41838820 51767734 62758230 77651601 103535468 125516460 129419335 155303202 258838670 310606404 388258005 517677340 776516010 1553032020 1734219089 3468438178 5202657267 6936876356 8671095445 10405314534 17342190890 20810629068 26013286335 34684381780 52026572670 104053145340