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61011111100 = 225210719932861
BaseRepresentation
bin111000110100100010…
…111010110010111100
312211110222011120102111
4320310202322302330
51444422321023400
644010023503404
74256624613322
oct706442726274
9184428146374
1061011111100
11239691aa875
12b9a85b7b64
1359a4087894
142d4ac93d12
1518c13cb3ba
hexe348bacbc

61011111100 has 72 divisors (see below), whose sum is σ = 133745221008. Its totient is φ = 24155788800.

The previous prime is 61011111053. The next prime is 61011111101. The reversal of 61011111100 is 111111016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61011111101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21323670 + ... + 21326530.

It is an arithmetic number, because the mean of its divisors is an integer number (1857572514).

Almost surely, 261011111100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66872610504).

61011111100 is an abundant number, since it is smaller than the sum of its proper divisors (72734109908).

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

61011111100 is a wasteful number, since it uses less digits than its factorization.

61011111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 61011111100 its reverse (111111016), we get a palindrome (61122222116).

The spelling of 61011111100 in words is "sixty-one billion, eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 1993 2140 2675 2861 3986 5350 5722 7972 9965 10700 11444 14305 19930 28610 39860 49825 57220 71525 99650 143050 199300 213251 286100 306127 426502 612254 853004 1066255 1224508 1530635 2132510 3061270 4265020 5331275 5701973 6122540 7653175 10662550 11403946 15306350 21325100 22807892 28509865 30612700 57019730 114039460 142549325 285098650 570197300 610111111 1220222222 2440444444 3050555555 6101111110 12202222220 15252777775 30505555550 61011111100