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201021100110 = 23355931813967
BaseRepresentation
bin1011101100110111001…
…0101001000001001110
3201012212111122221112000
42323031302221001032
511243142400200420
6232203043453130
720344330105155
oct2731562510116
9635774587460
10201021100110
1178286196896
1232b616871a6
1315c57a3641c
149a2d96259c
155367e22690
hex2ecdca904e

201021100110 has 128 divisors (see below), whose sum is σ = 545450803200. Its totient is φ = 52667210880.

The previous prime is 201021100097. The next prime is 201021100123. The reversal of 201021100110 is 11001120102.

It is a happy number.

201021100110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201021100097) and next prime (201021100123).

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 = 201021100092 and 201021100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50671347 + ... + 50675313.

It is an arithmetic number, because the mean of its divisors is an integer number (4261334400).

Almost surely, 2201021100110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272725401600).

201021100110 is an abundant number, since it is smaller than the sum of its proper divisors (344429703090).

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

201021100110 is a wasteful number, since it uses less digits than its factorization.

201021100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7217 counting only the distinct ones).

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

Adding to 201021100110 its reverse (11001120102), we get a palindrome (212022220212).

The spelling of 201021100110 in words is "two hundred one billion, twenty-one million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1770 2655 3181 3186 3967 5310 6362 7934 7965 9543 11901 15905 15930 19086 19835 23802 28629 31810 35703 39670 47715 57258 59505 71406 85887 95430 107109 119010 143145 171774 178515 187679 214218 234053 286290 357030 375358 429435 468106 535545 563037 702159 858870 938395 1071090 1126074 1170265 1404318 1689111 1876790 2106477 2340530 2815185 3378222 3510795 4212954 5067333 5630370 6319431 7021590 8445555 10134666 10532385 12619027 12638862 16891110 21064770 25238054 25336665 31597155 37857081 50673330 63095135 63194310 75714162 113571243 126190270 189285405 227142486 340713729 378570810 567856215 681427458 744522593 1135712430 1489045186 1703568645 2233567779 3407137290 3722612965 4467135558 6700703337 7445225930 11167838895 13401406674 20102110011 22335677790 33503516685 40204220022 67007033370 100510550055 201021100110