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2113305000 = 23354891583
BaseRepresentation
bin111110111110110…
…0111100110101000
312110021120000110120
41331331213212220
513312001230000
6545411243240
7103240540032
oct17575474650
95407500416
102113305000
119949a6364
124ab8a9520
13278a98b41
14160950c52
15c57e46a0
hex7df679a8

2113305000 has 160 divisors (see below), whose sum is σ = 6680361600. Its totient is φ = 556864000.

The previous prime is 2113304951. The next prime is 2113305013. The reversal of 2113305000 is 5033112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1334209 + ... + 1335791.

It is an arithmetic number, because the mean of its divisors is an integer number (41752260).

Almost surely, 22113305000 is an apocalyptic number.

2113305000 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 2113305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340180800).

2113305000 is an abundant number, since it is smaller than the sum of its proper divisors (4567056600).

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

2113305000 is a wasteful number, since it uses less digits than its factorization.

2113305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2113305000 is about 45970.6971885352. The cubic root of 2113305000 is about 1283.2779346787.

Adding to 2113305000 its reverse (5033112), we get a palindrome (2118338112).

The spelling of 2113305000 in words is "two billion, one hundred thirteen million, three hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 625 712 750 890 1000 1068 1250 1335 1500 1583 1780 1875 2136 2225 2500 2670 3000 3166 3560 3750 4450 4749 5000 5340 6332 6675 7500 7915 8900 9498 10680 11125 12664 13350 15000 15830 17800 18996 22250 23745 26700 31660 33375 37992 39575 44500 47490 53400 55625 63320 66750 79150 89000 94980 111250 118725 133500 140887 158300 166875 189960 197875 222500 237450 267000 281774 316600 333750 395750 422661 445000 474900 563548 593625 667500 704435 791500 845322 949800 989375 1127096 1187250 1335000 1408870 1583000 1690644 1978750 2113305 2374500 2817740 2968125 3381288 3522175 3957500 4226610 4749000 5635480 5936250 7044350 7915000 8453220 10566525 11872500 14088700 16906440 17610875 21133050 23745000 28177400 35221750 42266100 52832625 70443500 84532200 88054375 105665250 140887000 176108750 211330500 264163125 352217500 422661000 528326250 704435000 1056652500 2113305000