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1100030032110 = 235432714437103
BaseRepresentation
bin10000000000011110111…
…001100011100011101110
310220011100222120120001010
4100000132321203203232
5121010330142011420
62201202525130050
7142321524665502
oct20003671434356
93804328516033
101100030032110
1139457a303619
121592399b9926
137c96a091a59
143b355484302
151d9334344e0
hex1001ee638ee

1100030032110 has 128 divisors (see below), whose sum is σ = 2717940842496. Its totient is φ = 284777700480.

The previous prime is 1100030032091. The next prime is 1100030032111. The reversal of 1100030032110 is 112300300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100030032111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154864819 + ... + 154871921.

It is an arithmetic number, because the mean of its divisors is an integer number (21233912832).

Almost surely, 21100030032110 is an apocalyptic number.

1100030032110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100030032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358970421248).

1100030032110 is an abundant number, since it is smaller than the sum of its proper divisors (1617910810386).

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

1100030032110 is a wasteful number, since it uses less digits than its factorization.

1100030032110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1100030032110 its reverse (112300300011), we get a palindrome (1212330332121).

The spelling of 1100030032110 in words is "one trillion, one hundred billion, thirty million, thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 271 430 443 542 645 813 886 1290 1329 1355 1626 2215 2658 2710 4065 4430 6645 7103 8130 11653 13290 14206 19049 21309 23306 34959 35515 38098 42618 57147 58265 69918 71030 95245 106545 114294 116530 120053 174795 190490 213090 240106 285735 305429 349590 360159 571470 600265 610858 720318 916287 1200530 1527145 1800795 1832574 1924913 3054290 3146629 3601590 3849826 4581435 5162279 5774739 6293258 9162870 9439887 9624565 10324558 11549478 15486837 15733145 18879774 19249130 25811395 28873695 30973674 31466290 47199435 51622790 57747390 77434185 82771259 94398870 135305047 154868370 165542518 248313777 270610094 405915141 413856295 496627554 676525235 811830282 827712590 852736459 1241568885 1353050470 1705472918 2029575705 2483137770 2558209377 4059151410 4263682295 5116418754 8527364590 12791046885 25582093770 36667667737 73335335474 110003003211 183338338685 220006006422 366676677370 550015016055 1100030032110