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2130031120 = 24576835569
BaseRepresentation
bin111111011110101…
…1011001000010000
312111110000210101111
41332331123020100
513330241443440
6551205543104
7103532652160
oct17675331020
95443023344
102130031120
119a338a9a8
124b5414a94
1327c3a4059
14162c665a0
15c6eea4ea
hex7ef5b210

2130031120 has 80 divisors (see below), whose sum is σ = 5669101440. Its totient is φ = 729096192.

The previous prime is 2130031093. The next prime is 2130031153. The reversal of 2130031120 is 211300312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2130031120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379696 + ... + 385264.

It is an arithmetic number, because the mean of its divisors is an integer number (70863768).

Almost surely, 22130031120 is an apocalyptic number.

2130031120 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 2130031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834550720).

2130031120 is an abundant number, since it is smaller than the sum of its proper divisors (3539070320).

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

2130031120 is a wasteful number, since it uses less digits than its factorization.

2130031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2130031120 is about 46152.2601830073. The cubic root of 2130031120 is about 1286.6546173116.

Adding to 2130031120 its reverse (211300312), we get a palindrome (2341331432).

The spelling of 2130031120 in words is "two billion, one hundred thirty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 683 1366 2732 3415 4781 5464 5569 6830 9562 10928 11138 13660 19124 22276 23905 27320 27845 38248 38983 44552 47810 54640 55690 76496 77966 89104 95620 111380 155932 191240 194915 222760 311864 382480 389830 445520 623728 779660 1559320 3118640 3803627 7607254 15214508 19018135 26625389 30429016 38036270 53250778 60858032 76072540 106501556 133126945 152145080 213003112 266253890 304290160 426006224 532507780 1065015560 2130031120