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2131332320 = 255131735923
BaseRepresentation
bin111111100001001…
…1000110011100000
312111112110220022002
41333002120303200
513331110113240
6551253503132
7103550011565
oct17702306340
95445426262
102131332320
119a4099577
124b5941aa8
1327c73b3b0
141630c486c
15c71a5d15
hex7f098ce0

2131332320 has 96 divisors (see below), whose sum is σ = 5454866592. Its totient is φ = 782272512.

The previous prime is 2131332289. The next prime is 2131332331. The reversal of 2131332320 is 232331312.

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 = 2131332292 and 2131332301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356879 + ... + 362801.

It is an arithmetic number, because the mean of its divisors is an integer number (56821527).

Almost surely, 22131332320 is an apocalyptic number.

2131332320 is a gapful number since it is divisible by the number (20) 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 2131332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727433296).

2131332320 is an abundant number, since it is smaller than the sum of its proper divisors (3323534272).

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

2131332320 is a wasteful number, since it uses less digits than its factorization.

2131332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2131332320 is about 46166.3548485258. The cubic root of 2131332320 is about 1286.9165624972.

Adding to 2131332320 its reverse (232331312), we get a palindrome (2363663632).

The spelling of 2131332320 in words is "two billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 173 208 260 346 416 520 692 865 1040 1384 1730 2080 2249 2768 3460 4498 5536 5923 6920 8996 11245 11846 13840 17992 22490 23692 27680 29615 35984 44980 47384 59230 71968 76999 89960 94768 118460 153998 179920 189536 236920 307996 359840 384995 473840 615992 769990 947680 1024679 1231984 1539980 2049358 2463968 3079960 4098716 5123395 6159920 8197432 10246790 12319840 13320827 16394864 20493580 26641654 32789728 40987160 53283308 66604135 81974320 106566616 133208270 163948640 213133232 266416540 426266464 532833080 1065666160 2131332320