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1103132000220 = 2235171329181371
BaseRepresentation
bin10000000011010111110…
…010100111111111011100
310220110101011110212022220
4100003113302213333130
5121033203243001340
62202434415105340
7142461432201345
oct20032762477734
93813334425286
101103132000220
1139592128a128
12159964812250
1380042928843
143b56b4310cc
151da6591aed0
hex100d7ca7fdc

1103132000220 has 96 divisors (see below), whose sum is σ = 3270748190976. Its totient is φ = 276840268800.

The previous prime is 1103132000197. The next prime is 1103132000227. The reversal of 1103132000220 is 220002313011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1103132000220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103132000227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13516135 + ... + 13597505.

It is an arithmetic number, because the mean of its divisors is an integer number (34070293656).

Almost surely, 21103132000220 is an apocalyptic number.

1103132000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103132000220 is an abundant number, since it is smaller than the sum of its proper divisors (2167616190756).

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

1103132000220 is a wasteful number, since it uses less digits than its factorization.

1103132000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94691 (or 94689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1103132000220 its reverse (220002313011), we get a palindrome (1323134313231).

The spelling of 1103132000220 in words is "one trillion, one hundred three billion, one hundred thirty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 13291 26582 39873 53164 66455 79746 81371 132910 159492 162742 199365 225947 244113 265820 325484 398730 406855 451894 488226 677841 797460 813710 903788 976452 1129735 1220565 1355682 1383307 1627420 2259470 2441130 2711364 2766614 3389205 4149921 4518940 4882260 5533228 6778410 6916535 8299842 13556820 13833070 16599684 20749605 27666140 41499210 82998420 1081501961 2163003922 3244505883 4326007844 5407509805 6489011766 10815019610 12978023532 16222529415 18385533337 21630039220 32445058830 36771066674 55156600011 64890117660 73542133348 91927666685 110313200022 183855333370 220626400044 275783000055 367710666740 551566000110 1103132000220