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6161101000 = 235310161001
BaseRepresentation
bin1011011110011101…
…01111000011001000
3120220101012100200221
411233032233003020
5100104220213000
62455205435424
7305451331405
oct55716570310
916811170627
106161101000
11268186540a
12123b40bb74
137725836c2
144263872ac
15260d5b61a
hex16f3af0c8

6161101000 has 64 divisors (see below), whose sum is σ = 14559957360. Its totient is φ = 2440000000.

The previous prime is 6161100997. The next prime is 6161101007. The reversal of 6161101000 is 1011616.

It can be written as a sum of positive squares in 8 ways, for example, as 1698593796 + 4462507204 = 41214^2 + 66802^2 .

It is not an unprimeable number, because it can be changed into a prime (6161101007) 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, 70500 + ... + 131500.

Almost surely, 26161101000 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 6161101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279978680).

6161101000 is an abundant number, since it is smaller than the sum of its proper divisors (8398856360).

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

6161101000 is a wasteful number, since it uses less digits than its factorization.

6161101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61123 (or 61109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 6161101000 is about 78492.6811874840. The cubic root of 6161101000 is about 1833.2404985131.

Adding to 6161101000 its reverse (1011616), we get a palindrome (6162112616).

The spelling of 6161101000 in words is "six billion, one hundred sixty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 61001 101000 122002 244004 305005 488008 610010 1220020 1525025 2440040 3050050 6100100 6161101 7625125 12200200 12322202 15250250 24644404 30500500 30805505 49288808 61001000 61611010 123222020 154027525 246444040 308055050 616110100 770137625 1232220200 1540275250 3080550500 6161101000