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2000111310 = 2325611392621
BaseRepresentation
bin111011100110111…
…0100011011001110
312011101120011220200
41313031310123032
513044012030220
6530245154330
7100364444211
oct16715643316
95141504820
102000111310
1193701325a
124799bb9a6
1325b4b5c22
1414d8c7778
15ba8d5890
hex773746ce

2000111310 has 96 divisors (see below), whose sum is σ = 5325596640. Its totient is φ = 520646400.

The previous prime is 2000111293. The next prime is 2000111339. The reversal of 2000111310 is 131110002.

It is a super-2 number, since 2×20001113102 = 8000890504779832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000111292 and 2000111301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761800 + ... + 764420.

It is an arithmetic number, because the mean of its divisors is an integer number (55474965).

Almost surely, 22000111310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662798320).

2000111310 is an abundant number, since it is smaller than the sum of its proper divisors (3325485330).

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

2000111310 is a wasteful number, since it uses less digits than its factorization.

2000111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2000111310 is about 44722.6040163137. The cubic root of 2000111310 is about 1259.9444230966.

Adding to 2000111310 its reverse (131110002), we get a palindrome (2131221312).

The spelling of 2000111310 in words is "two billion, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 139 183 278 305 366 417 549 610 695 834 915 1098 1251 1390 1830 2085 2502 2621 2745 4170 5242 5490 6255 7863 8479 12510 13105 15726 16958 23589 25437 26210 39315 42395 47178 50874 76311 78630 84790 117945 127185 152622 159881 235890 254370 319762 364319 381555 479643 728638 763110 799405 959286 1092957 1438929 1598810 1821595 2185914 2398215 2877858 3278871 3643190 4796430 5464785 6557742 7194645 10929570 14389290 16394355 22223459 32788710 44446918 66670377 111117295 133340754 200011131 222234590 333351885 400022262 666703770 1000055655 2000111310