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10031035050 = 2325240155589
BaseRepresentation
bin10010101011110010…
…10111001010101010
3221220002011101012200
421111321113022222
5131020421110200
64335211521030
7503402251101
oct112571271252
927802141180
1010031035050
114288292113
121b3b459176
13c3b2655ca
146b2321038
153da98d800
hex255e572aa

10031035050 has 72 divisors (see below), whose sum is σ = 27017740620. Its totient is φ = 2668224000.

The previous prime is 10031035043. The next prime is 10031035073. The reversal of 10031035050 is 5053013001.

It is a happy number.

10031035050 is a `hidden beast` number, since 1 + 0 + 0 + 310 + 350 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3621271329 + 6409763721 = 60177^2 + 80061^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152656 + ... + 208244.

Almost surely, 210031035050 is an apocalyptic number.

10031035050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031035050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13508870310).

10031035050 is an abundant number, since it is smaller than the sum of its proper divisors (16986705570).

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

10031035050 is a wasteful number, since it uses less digits than its factorization.

10031035050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56008 (or 56000 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 10031035050 its reverse (5053013001), we get a palindrome (15084048051).

The spelling of 10031035050 in words is "ten billion, thirty-one million, thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 401 450 802 1203 2005 2406 3609 4010 6015 7218 10025 12030 18045 20050 30075 36090 55589 60150 90225 111178 166767 180450 277945 333534 500301 555890 833835 1000602 1389725 1667670 2501505 2779450 4169175 5003010 8338350 12507525 22291189 25015050 44582378 66873567 111455945 133747134 200620701 222911890 334367835 401241402 557279725 668735670 1003103505 1114559450 1671839175 2006207010 3343678350 5015517525 10031035050