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1012110000 = 24354113067
BaseRepresentation
bin111100010100111…
…001001010110000
32121112110111220120
4330110321022300
54033100010000
6244233010240
734036536006
oct7424711260
92545414816
101012110000
1147a345250
12242b53980
131318ba275
14985c0a76
155dcc46a0
hex3c5392b0

1012110000 has 200 divisors, whose sum is σ = 3565408704. Its totient is φ = 245280000.

The previous prime is 1012109999. The next prime is 1012110007. The reversal of 1012110000 is 112101.

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 not an unprimeable number, because it can be changed into a prime (1012110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328467 + ... + 331533.

Almost surely, 21012110000 is an apocalyptic number.

1012110000 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 1012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782704352).

1012110000 is an abundant number, since it is smaller than the sum of its proper divisors (2553298704).

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

1012110000 is a wasteful number, since it uses less digits than its factorization.

1012110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3088 counting only the distinct ones).

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

The square root of 1012110000 is about 31813.6763043821. The cubic root of 1012110000 is about 1004.0204807386.

Adding to 1012110000 its reverse (112101), we get a palindrome (1012222101).

The spelling of 1012110000 in words is "one billion, twelve million, one hundred ten thousand".