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103215012320 = 2557523176207
BaseRepresentation
bin110000000100000011…
…0000001100111100000
3100212102020020220001002
41200020012001213200
53142341020343240
6115225531531132
710312523062160
oct1401006014740
9325366226032
10103215012320
113a856202482
12180065b9aa8
13996b9063b4
144dd20365a0
152a41600d15
hex18081819e0

103215012320 has 96 divisors (see below), whose sum is σ = 279214967808. Its totient is φ = 35320140288.

The previous prime is 103215012301. The next prime is 103215012331. The reversal of 103215012320 is 23210512301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103215012292 and 103215012301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497657 + ... + 673863.

It is an arithmetic number, because the mean of its divisors is an integer number (2908489248).

Almost surely, 2103215012320 is an apocalyptic number.

103215012320 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 103215012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139607483904).

103215012320 is an abundant number, since it is smaller than the sum of its proper divisors (175999955488).

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

103215012320 is a wasteful number, since it uses less digits than its factorization.

103215012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176752 (or 176744 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 103215012320 its reverse (23210512301), we get a palindrome (126425524621).

The spelling of 103215012320 in words is "one hundred three billion, two hundred fifteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 523 560 1046 1120 2092 2615 3661 4184 5230 7322 8368 10460 14644 16736 18305 20920 29288 36610 41840 58576 73220 83680 117152 146440 176207 292880 352414 585760 704828 881035 1233449 1409656 1762070 2466898 2819312 3524140 4933796 5638624 6167245 7048280 9867592 12334490 14096560 19735184 24668980 28193120 39470368 49337960 92156261 98675920 184312522 197351840 368625044 460781305 645093827 737250088 921562610 1290187654 1474500176 1843125220 2580375308 2949000352 3225469135 3686250440 5160750616 6450938270 7372500880 10321501232 12901876540 14745001760 20643002464 25803753080 51607506160 103215012320