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11200002020200 = 2352721816314129
BaseRepresentation
bin1010001011111011010000…
…1001000101001101101000
31110122201011101202000000001
42202332310021011031220
52432000101004121300
635453113200552344
72234113330253200
oct242766411051550
943581141660001
1011200002020200
11362899217a9a4
12130a7760226b4
13633203c9c8c6
142aa123a21400
1514650edcc16a
hexa2fb4245368

11200002020200 has 144 divisors (see below), whose sum is σ = 30458794848300. Its totient is φ = 3818784614400.

The previous prime is 11200002020189. The next prime is 11200002020231. The reversal of 11200002020200 is 202020000211.

It can be written as a sum of positive squares in 6 ways, for example, as 1189194612004 + 10010807408196 = 1090502^2 + 3163986^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1383265 + ... + 4930864.

Almost surely, 211200002020200 is an apocalyptic number.

11200002020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200002020200 is an abundant number, since it is smaller than the sum of its proper divisors (19258792828100).

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

11200002020200 is a wasteful number, since it uses less digits than its factorization.

11200002020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314340 (or 6314324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11200002020200 its reverse (202020000211), we get a palindrome (11402022020411).

The spelling of 11200002020200 in words is "eleven trillion, two hundred billion, two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 181 196 200 245 280 350 362 392 490 700 724 905 980 1225 1267 1400 1448 1810 1960 2450 2534 3620 4525 4900 5068 6335 7240 8869 9050 9800 10136 12670 17738 18100 25340 31675 35476 36200 44345 50680 63350 70952 88690 126700 177380 221725 253400 354760 443450 886900 1773800 6314129 12628258 25256516 31570645 44198903 50513032 63141290 88397806 126282580 157853225 176795612 220994515 252565160 309392321 315706450 353591224 441989030 618784642 631412900 883978060 1104972575 1142857349 1237569284 1262825800 1546961605 1767956120 2209945150 2285714698 2475138568 3093923210 4419890300 4571429396 5714286745 6187846420 7734808025 8000001443 8839780600 9142858792 11428573490 12375692840 15469616050 16000002886 22857146980 28571433725 30939232100 32000005772 40000007215 45714293960 56000010101 57142867450 61878464200 64000011544 80000014430 112000020202 114285734900 160000028860 200000036075 224000040404 228571469800 280000050505 320000057720 400000072150 448000080808 560000101010 800000144300 1120000202020 1400000252525 1600000288600 2240000404040 2800000505050 5600001010100 11200002020200