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1100013330132 = 2232193161850453
BaseRepresentation
bin10000000000011101111…
…001110101111011010100
310220011022211011000020100
4100000131321311323110
5121010311403031012
62201201131134100
7142321233013623
oct20003571657324
93804284130210
101100013330132
11394570936132
121592342a4330
137c966794822
143b3531776ba
151d931c358dc
hex1001de75ed4

1100013330132 has 144 divisors (see below), whose sum is σ = 3070887339520. Its totient is φ = 330655737600.

The previous prime is 1100013330079. The next prime is 1100013330137. The reversal of 1100013330132 is 2310333100011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013330137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868218 + ... + 1718670.

Almost surely, 21100013330132 is an apocalyptic number.

1100013330132 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 1100013330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535443669760).

1100013330132 is an abundant number, since it is smaller than the sum of its proper divisors (1970874009388).

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

1100013330132 is a wasteful number, since it uses less digits than its factorization.

1100013330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850574 (or 850569 counting only the distinct ones).

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

Adding to 1100013330132 its reverse (2310333100011), we get a palindrome (3410346430143).

The spelling of 1100013330132 in words is "one trillion, one hundred billion, thirteen million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 61 62 76 93 114 122 124 171 183 186 228 244 279 342 366 372 549 558 589 684 732 1098 1116 1159 1178 1767 1891 2196 2318 2356 3477 3534 3782 4636 5301 5673 6954 7068 7564 10431 10602 11346 13908 17019 20862 21204 22692 34038 35929 41724 68076 71858 107787 143716 215574 323361 431148 646722 850453 1293444 1700906 2551359 3401812 5102718 7654077 10205436 15308154 16158607 26364043 30616308 32317214 48475821 51877633 52728086 64634428 79092129 96951642 103755266 105456172 145427463 155632899 158184258 193903284 207510532 237276387 290854926 311265798 316368516 466898697 474552774 500916817 581709852 622531596 933797394 949105548 985675027 1001833634 1502750451 1608206623 1867594788 1971350054 2003667268 2957025081 3005500902 3216413246 3942700108 4508251353 4824619869 5914050162 6011001804 6432826492 8871075243 9016502706 9649239738 11828100324 14473859607 17742150486 18033005412 19298479476 28947719214 30555925837 35484300972 57895438428 61111851674 91667777511 122223703348 183335555022 275003332533 366671110044 550006665066 1100013330132