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1021441104 = 24343732113
BaseRepresentation
bin111100111000011…
…111010001010000
32122012000120210000
4330320133101100
54042442103404
6245205010000
734212051255
oct7470372120
92565016700
101021441104
11484638902
122460b3900
13133806528
149992d42c
155ea19339
hex3ce1f450

1021441104 has 100 divisors (see below), whose sum is σ = 2965675636. Its totient is φ = 339406848.

The previous prime is 1021441097. The next prime is 1021441111. The reversal of 1021441104 is 4011441201.

1021441104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1021441097) and next prime (1021441111).

It can be written as a sum of positive squares in 2 ways, for example, as 177422400 + 844018704 = 13320^2 + 29052^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 482352 + ... + 484464.

Almost surely, 21021441104 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 1021441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482837818).

1021441104 is an abundant number, since it is smaller than the sum of its proper divisors (1944234532).

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

1021441104 is a wasteful number, since it uses less digits than its factorization.

1021441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1021441104 is about 31959.9922402994. The cubic root of 1021441104 is about 1007.0965544515.

Adding to 1021441104 its reverse (4011441201), we get a palindrome (5032882305).

The spelling of 1021441104 in words is "one billion, twenty-one million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 373 432 648 746 1119 1296 1492 2113 2238 2984 3357 4226 4476 5968 6339 6714 8452 8952 10071 12678 13428 16904 17904 19017 20142 25356 26856 30213 33808 38034 40284 50712 53712 57051 60426 76068 80568 101424 114102 120852 152136 161136 171153 228204 241704 304272 342306 456408 483408 684612 788149 912816 1369224 1576298 2364447 2738448 3152596 4728894 6305192 7093341 9457788 12610384 14186682 18915576 21280023 28373364 37831152 42560046 56746728 63840069 85120092 113493456 127680138 170240184 255360276 340480368 510720552 1021441104