Search a number
-
+
200221011101120 = 26517140159262597
BaseRepresentation
bin101101100001100110010110…
…001111100100010111000000
3222020220221102112000021022012
4231201212112033210113000
5202220410112320213440
61545500132424232052
760113330206553222
oct5541462617442700
9866827375007265
10200221011101120
1158884288019829
121a55820b60b628
1387949b65ab969
143762a6a3c8412
15182331be04e65
hexb619963e45c0

200221011101120 has 112 divisors (see below), whose sum is σ = 504827470586880. Its totient is φ = 75376496984064.

The previous prime is 200221011101113. The next prime is 200221011101123. The reversal of 200221011101120 is 21101110122002.

It is a junction number, because it is equal to n+sod(n) for n = 200221011101095 and 200221011101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221011101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762333662 + ... + 762596258.

It is an arithmetic number, because the mean of its divisors is an integer number (4507388130240).

Almost surely, 2200221011101120 is an apocalyptic number.

200221011101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200221011101120 is an abundant number, since it is smaller than the sum of its proper divisors (304606459485760).

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

200221011101120 is a wasteful number, since it uses less digits than its factorization.

200221011101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402790 (or 402780 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 200221011101120 its reverse (21101110122002), we get a palindrome (221322121223122).

The spelling of 200221011101120 in words is "two hundred trillion, two hundred twenty-one billion, eleven million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 140159 262597 280318 525194 560636 700795 1050388 1121272 1312985 1401590 2100776 2242544 2382703 2625970 2803180 4201552 4464149 4485088 4765406 5251940 5606360 8403104 8928298 8970176 9530812 10503880 11212720 11913515 16806208 17856596 19061624 21007760 22320745 22425440 23827030 35713192 38123248 42015520 44641490 44850880 47654060 71426384 76246496 84031040 89282980 95308120 142852768 152492992 178565960 190616240 285705536 357131920 381232480 714263840 762464960 1428527680 36805332923 73610665846 147221331692 184026664615 294442663384 368053329230 588885326768 625690659691 736106658460 1177770653536 1251381319382 1472213316920 2355541307072 2502762638764 2944426633840 3128453298455 5005525277528 5888853267680 6256906596910 10011050555056 11777706535360 12513813193820 20022101110112 25027626387640 40044202220224 50055252775280 100110505550560 200221011101120