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11012220201100 = 22521922631159877
BaseRepresentation
bin1010000000111111101101…
…1110010010100010001100
31102222202110120010012210011
42200033323132102202030
52420411011332413400
635230535532523004
72214415040161636
oct240177336224214
942882416105704
1011012220201100
113566290240968
12129a2aa320464
1361b5a9096991
142a0dcc513a56
151416be4248ba
hexa03fb79288c

11012220201100 has 108 divisors (see below), whose sum is σ = 25316341619184. Its totient is φ = 4157181164160.

The previous prime is 11012220201071. The next prime is 11012220201127. The reversal of 11012220201100 is 110202221011.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8914362 + ... + 10074238.

It is an arithmetic number, because the mean of its divisors is an integer number (234410570548).

Almost surely, 211012220201100 is an apocalyptic number.

11012220201100 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 11012220201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658170809592).

11012220201100 is an abundant number, since it is smaller than the sum of its proper divisors (14304121418084).

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

11012220201100 is a wasteful number, since it uses less digits than its factorization.

11012220201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160192 (or 1160166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11012220201100 its reverse (110202221011), we get a palindrome (11122422422111).

The spelling of 11012220201100 in words is "eleven trillion, twelve billion, two hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 263 361 380 475 526 722 950 1052 1315 1444 1805 1900 2630 3610 4997 5260 6575 7220 9025 9994 13150 18050 19988 24985 26300 36100 49970 94943 99940 124925 189886 249850 379772 474715 499700 949430 1159877 1898860 2319754 2373575 4639508 4747150 5799385 9494300 11598770 22037663 23197540 28996925 44075326 57993850 88150652 110188315 115987700 220376630 305047651 418715597 440753260 550941575 610095302 837431194 1101883150 1220190604 1525238255 1674862388 2093577985 2203766300 3050476510 4187155970 5795905369 6100953020 7626191275 8374311940 10467889925 11591810738 15252382550 20935779850 23183621476 28979526845 30504765100 41871559700 57959053690 110122202011 115918107380 144897634225 220244404022 289795268450 440488808044 550611010055 579590536900 1101222020110 2202444040220 2753055050275 5506110100550 11012220201100