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1102387281688 = 237117277393331
BaseRepresentation
bin10000000010101011011…
…001101111111100011000
310220101110021011020120001
4100002223121233330120
5121030142121003223
62202232453142344
7142434120200320
oct20025331577430
93811407136501
101102387281688
11395579977070
1215979732a9b4
137cc5455cca4
143b4da576280
151da203639ad
hex100ab66ff18

1102387281688 has 128 divisors (see below), whose sum is σ = 2584821657600. Its totient is φ = 428201769600.

The previous prime is 1102387281587. The next prime is 1102387281701. The reversal of 1102387281688 is 8861827832011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330946183 + ... + 330949513.

It is an arithmetic number, because the mean of its divisors is an integer number (20193919200).

Almost surely, 21102387281688 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 1102387281688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292410828800).

1102387281688 is an abundant number, since it is smaller than the sum of its proper divisors (1482434375912).

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

1102387281688 is a wasteful number, since it uses less digits than its factorization.

1102387281688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 55.

The spelling of 1102387281688 in words is "one trillion, one hundred two billion, three hundred eighty-seven million, two hundred eighty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 727 739 1454 1478 2908 2956 3331 5089 5173 5816 5912 6662 7997 8129 10178 10346 13324 15994 16258 20356 20692 23317 26648 31988 32516 36641 40712 41384 46634 55979 56903 63976 65032 73282 93268 111958 113806 146564 186536 223916 227612 256487 293128 447832 455224 512974 537253 1025948 1074506 2051896 2149012 2421637 2461609 3760771 4298024 4843274 4923218 5909783 7521542 9686548 9846436 11819566 15043084 16951459 17231263 19373096 19692872 23639132 26638007 27077699 30086168 33902918 34462526 41368481 47278264 53276014 54155398 67805836 68925052 82736962 106552028 108310796 135611672 137850104 165473924 186466049 189543893 213104056 216621592 330947848 372932098 379087786 745864196 758175572 1491728392 1516351144 1789589743 3579179486 7158358972 12527128201 14316717944 19685487173 25054256402 39370974346 50108512804 78741948692 100217025608 137798410211 157483897384 275596820422 551193640844 1102387281688