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1101020032 = 2772942373
BaseRepresentation
bin100000110100000…
…0011101110000000
32211201202121112201
41001220003232000
54223330120112
6301130402544
736166341640
oct10150035600
92751677481
101101020032
11515551712
12268890454
1314714a058
14a6326520
15669d8257
hex41a03b80

1101020032 has 64 divisors (see below), whose sum is σ = 2593288800. Its totient is φ = 455583744.

The previous prime is 1101020021. The next prime is 1101020033. The reversal of 1101020032 is 2300201011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11010200322 = 2424490221730562048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101020033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4798 + ... + 47170.

Almost surely, 21101020032 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 1101020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296644400).

1101020032 is an abundant number, since it is smaller than the sum of its proper divisors (1492268768).

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

1101020032 is an equidigital number, since it uses as much as digits as its factorization.

1101020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42423 (or 42411 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1101020032 is about 33181.6219012875. The cubic root of 1101020032 is about 1032.5990952891.

Adding to 1101020032 its reverse (2300201011), we get a palindrome (3401221043).

The spelling of 1101020032 in words is "one billion, one hundred one million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 6496 12992 25984 42373 84746 169492 296611 338984 593222 677968 1186444 1228817 1355936 2372888 2457634 2711872 4745776 4915268 5423744 8601719 9491552 9830536 17203438 18983104 19661072 34406876 37966208 39322144 68813752 78644288 137627504 157288576 275255008 550510016 1101020032