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3001112000 = 26531722067
BaseRepresentation
bin1011001011100001…
…0101010111000000
321202011010021201022
42302320111113000
522121241041000
61213444125012
7134241013445
oct26270252700
97664107638
103001112000
11130005a957
126b9096768
1338a9b3723
142068159cc
15128713585
hexb2e155c0

3001112000 has 112 divisors (see below), whose sum is σ = 7869801888. Its totient is φ = 1129779200.

The previous prime is 3001111931. The next prime is 3001112053. The reversal of 3001112000 is 2111003.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124967 + ... + 147033.

Almost surely, 23001112000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934900944).

3001112000 is an abundant number, since it is smaller than the sum of its proper divisors (4868689888).

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

3001112000 is a wasteful number, since it uses less digits than its factorization.

3001112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22111 (or 22091 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 3001112000 is about 54782.4059347524. The cubic root of 3001112000 is about 1442.4277462415.

Adding to 3001112000 its reverse (2111003), we get a palindrome (3003223003).

The spelling of 3001112000 in words is "three billion, one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 22067 27200 34000 44134 68000 88268 110335 136000 176536 220670 353072 375139 441340 551675 706144 750278 882680 1103350 1412288 1500556 1765360 1875695 2206700 2758375 3001112 3530720 3751390 4413400 5516750 6002224 7061440 7502780 8826800 9378475 11033500 12004448 15005560 17653600 18756950 22067000 24008896 30011120 35307200 37513900 44134000 46892375 60022240 75027800 88268000 93784750 120044480 150055600 176536000 187569500 300111200 375139000 600222400 750278000 1500556000 3001112000