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2151231320 = 2357210110867
BaseRepresentation
bin1000000000111001…
…0010111101011000
312112220220212121002
42000032102331120
513401203400240
6553244204132
7104211110300
oct20016227530
95486825532
102151231320
11a0434aa27
12500539648
132838b7854
141659c4600
15c8cd6d15
hex80392f58

2151231320 has 96 divisors (see below), whose sum is σ = 5686789680. Its totient is φ = 730195200.

The previous prime is 2151231301. The next prime is 2151231347. The reversal of 2151231320 is 231321512.

It is a super-3 number, since 3×21512313203 (a number of 29 digits) contains 333 as substring.

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 = 2151231292 and 2151231301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192527 + ... + 203393.

Almost surely, 22151231320 is an apocalyptic number.

2151231320 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 2151231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843394840).

2151231320 is an abundant number, since it is smaller than the sum of its proper divisors (3535558360).

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

2151231320 is a wasteful number, since it uses less digits than its factorization.

2151231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10993 (or 10982 counting only the distinct ones).

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

The square root of 2151231320 is about 46381.3682419999. The cubic root of 2151231320 is about 1290.9092241979.

Adding to 2151231320 its reverse (231321512), we get a palindrome (2382552832).

The spelling of 2151231320 in words is "two billion, one hundred fifty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 101 140 196 202 245 280 392 404 490 505 707 808 980 1010 1414 1960 2020 2828 3535 4040 4949 5656 7070 9898 10867 14140 19796 21734 24745 28280 39592 43468 49490 54335 76069 86936 98980 108670 152138 197960 217340 304276 380345 434680 532483 608552 760690 1064966 1097567 1521380 2129932 2195134 2662415 3042760 4259864 4390268 5324830 5487835 7682969 8780536 10649660 10975670 15365938 21299320 21951340 30731876 38414845 43902680 53780783 61463752 76829690 107561566 153659380 215123132 268903915 307318760 430246264 537807830 1075615660 2151231320