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1002112300 = 225272367929
BaseRepresentation
bin111011101110110…
…000010100101100
32120211122120122101
4323232300110230
54023020043200
6243234424444
733555546130
oct7356602454
92524576571
101002112300
11474736892
1223b732124
1312c7c9777
149713b3c0
155ce9c26a
hex3bbb052c

1002112300 has 144 divisors (see below), whose sum is σ = 2634831360. Its totient is φ = 323389440.

The previous prime is 1002112297. The next prime is 1002112301. The reversal of 1002112300 is 32112001.

It is a super-2 number, since 2×10021123002 = 2008458123622580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1002112301) 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, 1078236 + ... + 1079164.

It is an arithmetic number, because the mean of its divisors is an integer number (18297440).

Almost surely, 21002112300 is an apocalyptic number.

1002112300 is a gapful number since it is divisible by the number (10) 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 1002112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317415680).

1002112300 is an abundant number, since it is smaller than the sum of its proper divisors (1632719060).

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

1002112300 is a wasteful number, since it uses less digits than its factorization.

1002112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1002112300 is about 31656.1573789366. The cubic root of 1002112300 is about 1000.7036048241.

Adding to 1002112300 its reverse (32112001), we get a palindrome (1034224301).

The spelling of 1002112300 in words is "one billion, two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 67 70 92 100 115 134 140 161 175 230 268 322 335 350 460 469 575 644 670 700 805 929 938 1150 1340 1541 1610 1675 1858 1876 2300 2345 3082 3220 3350 3716 4025 4645 4690 6164 6503 6700 7705 8050 9290 9380 10787 11725 13006 15410 16100 18580 21367 21574 23225 23450 26012 30820 32515 38525 42734 43148 46450 46900 53935 62243 65030 77050 85468 92900 106835 107870 124486 130060 149569 154100 162575 213670 215740 248972 269675 299138 311215 325150 427340 435701 534175 539350 598276 622430 650300 747845 871402 1068350 1078700 1244860 1431589 1495690 1556075 1742804 2136700 2178505 2863178 2991380 3112150 3739225 4357010 5726356 6224300 7157945 7478450 8714020 10021123 10892525 14315890 14956900 20042246 21785050 28631780 35789725 40084492 43570100 50105615 71579450 100211230 143158900 200422460 250528075 501056150 1002112300