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1101030033132 = 223441500916547
BaseRepresentation
bin10000000001011010100…
…000010000011011101100
310220020221200020212120000
4100001122200100123230
5121014402142030012
62201450050424300
7142355356602411
oct20013240203354
93806850225500
101101030033132
11394a42828147
12159478892090
137ca992cc533
143b40c1d2108
151d991115ddc
hex1005a8106ec

1101030033132 has 120 divisors (see below), whose sum is σ = 2949279545520. Its totient is φ = 357965429760.

The previous prime is 1101030033127. The next prime is 1101030033137. The reversal of 1101030033132 is 2313300301011.

It is a happy number.

1101030033132 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 300 + 331 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1101030033127) and next prime (1101030033137).

It is a super-3 number, since 3×11010300331323 (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1101030033137) 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, 66531283 + ... + 66547829.

It is an arithmetic number, because the mean of its divisors is an integer number (24577329546).

Almost surely, 21101030033132 is an apocalyptic number.

1101030033132 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 1101030033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474639772760).

1101030033132 is an abundant number, since it is smaller than the sum of its proper divisors (1848249512388).

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

1101030033132 is a wasteful number, since it uses less digits than its factorization.

1101030033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21613 (or 21602 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1101030033132 its reverse (2313300301011), we get a palindrome (3414330334143).

The spelling of 1101030033132 in words is "one trillion, one hundred one billion, thirty million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 5009 6642 10018 13284 15027 16547 20036 30054 33094 45081 49641 60108 66188 90162 99282 135243 148923 180324 198564 205369 270486 297846 405729 410738 446769 540972 595692 616107 678427 811458 821476 893538 1232214 1340307 1356854 1622916 1787076 1848321 2035281 2464428 2680614 2713708 3696642 4070562 5361228 5544963 6105843 7393284 8141124 11089926 12211686 16634889 18317529 22179852 24423372 33269778 36635058 54952587 66539556 73270116 82883923 109905174 165767846 219810348 248651769 331535692 497303538 745955307 994607076 1491910614 2237865921 2983821228 3398240843 4475731842 6713597763 6796481686 8951463684 10194722529 13427195526 13592963372 20389445058 26854391052 30584167587 40778890116 61168335174 91752502761 122336670348 183505005522 275257508283 367010011044 550515016566 1101030033132