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1102200102100 = 225271534729033
BaseRepresentation
bin10000000010100000001…
…111101101110011010100
310220100222012221112102201
4100002200033231303110
5121024301211231400
62202202125214244
7142426355200246
oct20024017556324
93810865845381
101102200102100
11395493250299
12159744701384
137cc24844236
143b4bd770096
151da0dbdd06a
hex100a03edcd4

1102200102100 has 72 divisors (see below), whose sum is σ = 2425998351168. Its totient is φ = 434574201600.

The previous prime is 1102200102097. The next prime is 1102200102103. The reversal of 1102200102100 is 12010022011.

It is an interprime number because it is at equal distance from previous prime (1102200102097) and next prime (1102200102103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102200102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37949184 + ... + 37978216.

It is an arithmetic number, because the mean of its divisors is an integer number (33694421544).

Almost surely, 21102200102100 is an apocalyptic number.

1102200102100 is a gapful number since it is divisible by the number (10) 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 1102200102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212999175584).

1102200102100 is an abundant number, since it is smaller than the sum of its proper divisors (1323798249068).

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

1102200102100 is a wasteful number, since it uses less digits than its factorization.

1102200102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34465 (or 34458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1102200102100 its reverse (12010022011), we get a palindrome (1114210124111).

The spelling of 1102200102100 in words is "one trillion, one hundred two billion, two hundred million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 5347 7100 10694 21388 26735 29033 53470 58066 106940 116132 133675 145165 267350 290330 379637 534700 580660 725825 759274 1451650 1518548 1898185 2061343 2903300 3796370 4122686 7592740 8245372 9490925 10306715 18981850 20613430 37963700 41226860 51533575 103067150 155239451 206134300 310478902 620957804 776197255 1552394510 3104789020 3880986275 7761972550 11022001021 15523945100 22044002042 44088004084 55110005105 110220010210 220440020420 275550025525 551100051050 1102200102100