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1110002000 = 24534312907
BaseRepresentation
bin100001000101001…
…0100100101010000
32212100122221111012
41002022110211100
54233130031000
6302051110052
736335601302
oct10212244520
92770587435
101110002000
1151a626a28
1226b8a2328
13148c73423
14a75c3972
15676ae735
hex42294950

1110002000 has 80 divisors (see below), whose sum is σ = 2746615872. Its totient is φ = 433641600.

The previous prime is 1110001993. The next prime is 1110002041. The reversal of 1110002000 is 2000111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 79547 + ... + 92453.

Almost surely, 21110002000 is an apocalyptic number.

1110002000 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 1110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373307936).

1110002000 is an abundant number, since it is smaller than the sum of its proper divisors (1636613872).

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

1110002000 is a wasteful number, since it uses less digits than its factorization.

1110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12957 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1110002000 is about 33316.6925129131. The cubic root of 1110002000 is about 1035.3994273092.

Adding to 1110002000 its reverse (2000111), we get a palindrome (1112002111).

The spelling of 1110002000 in words is "one billion, one hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 12907 17200 21500 25814 43000 51628 64535 86000 103256 129070 206512 258140 322675 516280 555001 645350 1032560 1110002 1290700 1613375 2220004 2581400 2775005 3226750 4440008 5162800 5550010 6453500 8880016 11100020 12907000 13875025 22200040 25814000 27750050 44400080 55500100 69375125 111000200 138750250 222000400 277500500 555001000 1110002000