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2151313220 = 2257431911871
BaseRepresentation
bin1000000000111010…
…0110111101000100
312112221002000221102
42000032212331010
513401214010340
6553250035232
7104211601130
oct20016467504
95487060842
102151313220
11a043a6511
12500578b18
13283915c04
14165a063c0
15c8d01215
hex803a6f44

2151313220 has 96 divisors (see below), whose sum is σ = 5313724416. Its totient is φ = 716284800.

The previous prime is 2151313207. The next prime is 2151313267. The reversal of 2151313220 is 223131512.

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 = 2151313192 and 2151313201.

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 31 ways as a sum of consecutive naturals, for example, 1148885 + ... + 1150755.

It is an arithmetic number, because the mean of its divisors is an integer number (55351296).

Almost surely, 22151313220 is an apocalyptic number.

2151313220 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 2151313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656862208).

2151313220 is an abundant number, since it is smaller than the sum of its proper divisors (3162411196).

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

2151313220 is a wasteful number, since it uses less digits than its factorization.

2151313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

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

The square root of 2151313220 is about 46382.2511312248. The cubic root of 2151313220 is about 1290.9256061529.

Adding to 2151313220 its reverse (223131512), we get a palindrome (2374444732).

The spelling of 2151313220 in words is "two billion, one hundred fifty-one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 191 215 301 382 430 602 764 860 955 1204 1337 1505 1871 1910 2674 3010 3742 3820 5348 6020 6685 7484 8213 9355 13097 13370 16426 18710 26194 26740 32852 37420 41065 52388 57491 65485 80453 82130 114982 130970 160906 164260 229964 261940 287455 321812 357361 402265 563171 574910 714722 804530 1126342 1149820 1429444 1609060 1786805 2252684 2501527 2815855 3573610 5003054 5631710 7147220 10006108 11263420 12507635 15366523 25015270 30733046 50030540 61466092 76832615 107565661 153665230 215131322 307330460 430262644 537828305 1075656610 2151313220