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2311213120 = 26518613881
BaseRepresentation
bin1000100111000010…
…0101000001000000
312222001221210100221
42021300211001000
514213132304440
61021201152424
7111162662446
oct21160450100
95861853327
102311213120
11a8668a697
1254602b714
132aaa9cc38
1417cd4ab96
15d7d88d4a
hex89c25040

2311213120 has 56 divisors (see below), whose sum is σ = 5507952408. Its totient is φ = 923750400.

The previous prime is 2311213057. The next prime is 2311213129. The reversal of 2311213120 is 213121132.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 2310917184 = 544^2 + 48072^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2311213094 and 2311213103.

It is not an unprimeable number, because it can be changed into a prime (2311213129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593580 + ... + 597460.

It is an arithmetic number, because the mean of its divisors is an integer number (98356293).

Almost surely, 22311213120 is an apocalyptic number.

2311213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311213120 is an abundant number, since it is smaller than the sum of its proper divisors (3196739288).

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

2311213120 is a wasteful number, since it uses less digits than its factorization.

2311213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2311213120 is about 48075.0779510548. The cubic root of 2311213120 is about 1322.1477737377.

Adding to 2311213120 its reverse (213121132), we get a palindrome (2524334252).

The spelling of 2311213120 in words is "two billion, three hundred eleven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1861 3722 3881 7444 7762 9305 14888 15524 18610 19405 29776 31048 37220 38810 59552 62096 74440 77620 119104 124192 148880 155240 248384 297760 310480 595520 620960 1241920 7222541 14445082 28890164 36112705 57780328 72225410 115560656 144450820 231121312 288901640 462242624 577803280 1155606560 2311213120