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2113134320 = 245112419521
BaseRepresentation
bin111110111110011…
…1101111011110000
312110021020100100002
41331330331323300
513311430244240
6545403445132
7103236226313
oct17574757360
95407210302
102113134320
1199489a100
124ab8267a8
13278a3924b
1416090897a
15c57add15
hex7df3def0

2113134320 has 120 divisors (see below), whose sum is σ = 5423559120. Its totient is φ = 765107200.

The previous prime is 2113134319. The next prime is 2113134347. The reversal of 2113134320 is 234313112.

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 = 2113134292 and 2113134301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4055660 + ... + 4056180.

It is an arithmetic number, because the mean of its divisors is an integer number (45196326).

Almost surely, 22113134320 is an apocalyptic number.

2113134320 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 2113134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711779560).

2113134320 is an abundant number, since it is smaller than the sum of its proper divisors (3310424800).

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

2113134320 is a wasteful number, since it uses less digits than its factorization.

2113134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2113134320 is about 45968.8407511001. The cubic root of 2113134320 is about 1283.2433859861.

Adding to 2113134320 its reverse (234313112), we get a palindrome (2347447432).

The spelling of 2113134320 in words is "two billion, one hundred thirteen million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 419 440 484 521 605 838 880 968 1042 1210 1676 1936 2084 2095 2420 2605 3352 4168 4190 4609 4840 5210 5731 6704 8336 8380 9218 9680 10420 11462 16760 18436 20840 22924 23045 28655 33520 36872 41680 45848 46090 50699 57310 63041 73744 91696 92180 101398 114620 126082 184360 202796 218299 229240 252164 253495 315205 368720 405592 436598 458480 504328 506990 630410 811184 873196 1008656 1013980 1091495 1260820 1746392 2027960 2182990 2401289 2521640 3492784 4055920 4365980 4802578 5043280 8731960 9605156 12006445 17463920 19210312 24012890 26414179 38420624 48025780 52828358 96051560 105656716 132070895 192103120 211313432 264141790 422626864 528283580 1056567160 2113134320