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1010200032 = 25334327191
BaseRepresentation
bin111100001101100…
…110110111100000
32121101212110221000
4330031212313200
54032102400112
6244124032000
734014362412
oct7415466740
92541773830
101010200032
11479260266
12242392600
1313139baca
14982449b2
155da487dc
hex3c366de0

1010200032 has 96 divisors (see below), whose sum is σ = 3015048960. Its totient is φ = 328890240.

The previous prime is 1010199991. The next prime is 1010200049. The reversal of 1010200032 is 2300020101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1010199987 and 1010200023.

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, 23557 + ... + 50747.

It is an arithmetic number, because the mean of its divisors is an integer number (31406760).

Almost surely, 21010200032 is an apocalyptic number.

1010200032 is a gapful number since it is divisible by the number (12) 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 1010200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507524480).

1010200032 is an abundant number, since it is smaller than the sum of its proper divisors (2004848928).

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

1010200032 is a wasteful number, since it uses less digits than its factorization.

1010200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27253 (or 27239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1010200032 is about 31783.6440956666. The cubic root of 1010200032 is about 1003.3885156593.

Adding to 1010200032 its reverse (2300020101), we get a palindrome (3310220133).

The spelling of 1010200032 in words is "one billion, ten million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 27191 37152 54382 81573 108764 163146 217528 244719 326292 435056 489438 652584 734157 870112 978876 1169213 1305168 1468314 1957752 2338426 2610336 2936628 3507639 3915504 4676852 5873256 7015278 7831008 9353704 10522917 11746512 14030556 18707408 21045834 23493024 28061112 31568751 37414816 42091668 56122224 63137502 84183336 112244448 126275004 168366672 252550008 336733344 505100016 1010200032