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1022101104 = 243471373307
BaseRepresentation
bin111100111011000…
…000011001110000
32122020021010010110
4330323000121300
54043124213404
6245231101320
734220500413
oct7473003160
92566233113
101022101104
11484a49762
12246371840
131339a7a6b
1499a61b7a
155eae9b89
hex3cec0670

1022101104 has 80 divisors (see below), whose sum is σ = 2717111808. Its totient is φ = 330917376.

The previous prime is 1022101097. The next prime is 1022101109. The reversal of 1022101104 is 4011012201.

It is a happy number.

1022101104 is nontrivially palindromic in base 5.

It is a super-3 number, since 3×10221011043 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1022101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307419 + ... + 310725.

Almost surely, 21022101104 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 1022101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358555904).

1022101104 is an abundant number, since it is smaller than the sum of its proper divisors (1695010704).

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

1022101104 is a wasteful number, since it uses less digits than its factorization.

1022101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1022101104 is about 31970.3159821732. The cubic root of 1022101104 is about 1007.3134181923.

Adding to 1022101104 its reverse (4011012201), we get a palindrome (5033113305).

The spelling of 1022101104 in words is "one billion, twenty-two million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 137 141 188 274 282 376 411 548 564 752 822 1096 1128 1644 2192 2256 3288 3307 6439 6576 6614 9921 12878 13228 19317 19842 25756 26456 38634 39684 51512 52912 77268 79368 103024 154536 155429 158736 309072 310858 453059 466287 621716 906118 932574 1243432 1359177 1812236 1865148 2486864 2718354 3624472 3730296 5436708 7248944 7460592 10873416 21293773 21746832 42587546 63881319 85175092 127762638 170350184 255525276 340700368 511050552 1022101104