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61106200100 = 22521173497559
BaseRepresentation
bin111000111010001101…
…101001111000100100
312211201121002121000022
4320322031221320210
52000121141400400
644023301534312
74262161062611
oct707215517044
9184647077008
1061106200100
1123a07947620
12ba14414398
1359ba99bc6a
142d59767508
1518c9910b85
hexe3a369e24

61106200100 has 72 divisors (see below), whose sum is σ = 144693864000. Its totient is φ = 22214473600.

The previous prime is 61106200093. The next prime is 61106200109. The reversal of 61106200100 is 100260116.

It is a happy number.

61106200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×611062001002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61106200109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8080121 + ... + 8087679.

It is an arithmetic number, because the mean of its divisors is an integer number (2009637000).

Almost surely, 261106200100 is an apocalyptic number.

It is an amenable number.

61106200100 is an abundant number, since it is smaller than the sum of its proper divisors (83587663900).

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

61106200100 is a wasteful number, since it uses less digits than its factorization.

61106200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14933 (or 14926 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 61106200100 its reverse (100260116), we get a palindrome (61206460216).

The spelling of 61106200100 in words is "sixty-one billion, one hundred six million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 7349 7559 14698 15118 29396 30236 36745 37795 73490 75590 80839 83149 146980 151180 161678 166298 183725 188975 323356 332596 367450 377950 404195 415745 734900 755900 808390 831490 1616780 1662980 2020975 2078725 4041950 4157450 8083900 8314900 55551091 111102182 222204364 277755455 555510910 611062001 1111021820 1222124002 1388777275 2444248004 2777554550 3055310005 5555109100 6110620010 12221240020 15276550025 30553100050 61106200100