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1112010000 = 24354101367
BaseRepresentation
bin100001001000111…
…1110110100010000
32212111102221221120
41002101332310100
54234133310000
6302202122240
736361633443
oct10221766420
92774387846
101112010000
11520778632
122704b0380
131494c73aa
14a798765a
15679596a0
hex4247ed10

1112010000 has 200 divisors, whose sum is σ = 3635136384. Its totient is φ = 292800000.

The previous prime is 1112009999. The next prime is 1112010007. The reversal of 1112010000 is 102111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3029817 + ... + 3030183.

Almost surely, 21112010000 is an apocalyptic number.

1112010000 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 1112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817568192).

1112010000 is an abundant number, since it is smaller than the sum of its proper divisors (2523126384).

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

1112010000 is a wasteful number, since it uses less digits than its factorization.

1112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1112010000 is about 33346.8139407650. The cubic root of 1112010000 is about 1036.0233990432.

Adding to 1112010000 its reverse (102111), we get a palindrome (1112112111).

The spelling of 1112010000 in words is "one billion, one hundred twelve million, ten thousand".