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1100200110100 = 2252713990112211
BaseRepresentation
bin10000000000101001000…
…010010110100000010100
310220011210211121102011221
4100000221002112200110
5121011202212010400
62201231442340124
7142325661430630
oct20005102264024
93804724542157
101100200110100
11394657309743
1215928695a644
137c9963a0710
143b36dcb7dc0
151d94332cc1a
hex10029096814

1100200110100 has 144 divisors (see below), whose sum is σ = 2938918036096. Its totient is φ = 348131520000.

The previous prime is 1100200110091. The next prime is 1100200110103. The reversal of 1100200110100 is 10110020011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100200110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90092995 + ... + 90105205.

Almost surely, 21100200110100 is an apocalyptic number.

1100200110100 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 1100200110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469459018048).

1100200110100 is an abundant number, since it is smaller than the sum of its proper divisors (1838717925996).

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

1100200110100 is a wasteful number, since it uses less digits than its factorization.

1100200110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22146 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1100200110100 its reverse (10110020011), we get a palindrome (1110310130111).

The spelling of 1100200110100 in words is "one trillion, one hundred billion, two hundred million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 9901 12211 19802 24422 39604 48844 49505 61055 69307 85477 99010 122110 128713 138614 158743 170954 198020 244220 247525 257426 277228 305275 317486 341908 346535 427385 495050 514852 610550 634972 643565 693070 793715 854770 900991 990100 1111201 1221100 1287130 1386140 1587430 1709540 1732675 1801982 2136925 2222402 2574260 3174860 3217825 3465350 3603964 3968575 4273850 4444804 4504955 5556005 6435650 6930700 7937150 8547700 9009910 11112010 12871300 15874300 18019820 22224020 22524775 27780025 45049550 55560050 90099100 111120100 120901111 241802222 483604444 604505555 846307777 1209011110 1571714443 1692615554 2418022220 3022527775 3143428886 3385231108 4231538885 6045055550 6286857772 7858572215 8463077770 11002001101 12090111100 15717144430 16926155540 21157694425 22004002202 31434288860 39292861075 42315388850 44008004404 55010005505 78585722150 84630777700 110020011010 157171444300 220040022020 275050027525 550100055050 1100200110100