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61001110000 = 24546100111
BaseRepresentation
bin111000110011111100…
…110001000111110000
312211110021100110111101
4320303330301013300
51444412241010000
644005025254144
74256443610515
oct706374610760
9184407313441
1061001110000
11239635998a6
12b9a5194354
1359a1c9567c
142d4980d30c
1518c05a2e6a
hexe33f311f0

61001110000 has 50 divisors (see below), whose sum is σ = 147689811632. Its totient is φ = 24400440000.

The previous prime is 61001109943. The next prime is 61001110007. The reversal of 61001110000 is 1110016.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×610011100002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001110007) 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 9 ways as a sum of consecutive naturals, for example, 3040056 + ... + 3060055.

Almost surely, 261001110000 is an apocalyptic number.

It is an amenable number.

61001110000 is an abundant number, since it is smaller than the sum of its proper divisors (86688701632).

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

61001110000 is an equidigital number, since it uses as much as digits as its factorization.

61001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100139 (or 6100118 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 61001110000 its reverse (1110016), we get a palindrome (61002220016).

The spelling of 61001110000 in words is "sixty-one billion, one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 6100111 12200222 24400444 30500555 48800888 61001110 97601776 122002220 152502775 244004440 305005550 488008880 610011100 762513875 1220022200 1525027750 2440044400 3050055500 3812569375 6100111000 7625138750 12200222000 15250277500 30500555000 61001110000