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11002201110 = 2335238812011
BaseRepresentation
bin10100011111100100…
…00100010000010110
31001101202120201121000
422033302010100112
5140013030413420
65015423204130
7536434111035
oct121762042026
931352521530
1011002201110
11473650159a
122170746646
131064518494
147652c471c
15445d76690
hex28fc84416

11002201110 has 128 divisors (see below), whose sum is σ = 30664811520. Its totient is φ = 2801779200.

The previous prime is 11002201081. The next prime is 11002201127. The reversal of 11002201110 is 1110220011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11002201092 and 11002201101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5470005 + ... + 5472015.

It is an arithmetic number, because the mean of its divisors is an integer number (239568840).

Almost surely, 211002201110 is an apocalyptic number.

11002201110 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 11002201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332405760).

11002201110 is an abundant number, since it is smaller than the sum of its proper divisors (19662610410).

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

11002201110 is a wasteful number, since it uses less digits than its factorization.

11002201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002201110 its reverse (1110220011), we get a palindrome (12112421121).

The spelling of 11002201110 in words is "eleven billion, two million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 881 1035 1242 1762 2011 2070 2643 3105 4022 4405 5286 6033 6210 7929 8810 10055 12066 13215 15858 18099 20110 20263 23787 26430 30165 36198 39645 40526 46253 47574 54297 60330 60789 79290 90495 92506 101315 108594 118935 121578 138759 180990 182367 202630 231265 237870 271485 277518 303945 364734 416277 462530 542970 547101 607890 693795 832554 911835 1094202 1248831 1387590 1771691 1823670 2081385 2497662 2735505 3543382 4162770 5315073 5471010 6244155 8858455 10630146 12488310 15945219 17716910 26575365 31890438 40748893 47835657 53150730 79726095 81497786 95671314 122246679 159452190 203744465 239178285 244493358 366740037 407488930 478356570 611233395 733480074 1100220111 1222466790 1833700185 2200440222 3667400370 5501100555 11002201110