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2312001120 = 2535111322591
BaseRepresentation
bin1000100111001110…
…0101011001100000
312222010102211022010
42021303211121200
514213333013440
61021230112520
7111202454022
oct21163453140
95863384263
102312001120
11a87078730
1254634b740
132aacb7800
1417d0b4012
15d7e92580
hex89ce5660

2312001120 has 288 divisors, whose sum is σ = 8606352384. Its totient is φ = 517171200.

The previous prime is 2312001113. The next prime is 2312001121. The reversal of 2312001120 is 211002132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2312001096 and 2312001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312001121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891025 + ... + 893615.

It is an arithmetic number, because the mean of its divisors is an integer number (29883168).

Almost surely, 22312001120 is an apocalyptic number.

2312001120 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 2312001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303176192).

2312001120 is an abundant number, since it is smaller than the sum of its proper divisors (6294351264).

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

2312001120 is a wasteful number, since it uses less digits than its factorization.

2312001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2312001120 is about 48083.2727671485. The cubic root of 2312001120 is about 1322.2980172114.

Adding to 2312001120 its reverse (211002132), we get a palindrome (2523003252).

The spelling of 2312001120 in words is "two billion, three hundred twelve million, one thousand, one hundred twenty".