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10221751050 = 2352726873623
BaseRepresentation
bin10011000010100001…
…11000101100001010
3222101101000202101020
421201100320230022
5131413232013200
64410143333310
7511206310320
oct114120705412
928341022336
1010221751050
114375a03945
121b932b1236
13c6b91bc04
146cd7a7d10
153ec5b1ea0
hex261438b0a

10221751050 has 96 divisors (see below), whose sum is σ = 28990144512. Its totient is φ = 2334886080.

The previous prime is 10221751049. The next prime is 10221751061. The reversal of 10221751050 is 5015712201.

It is a super-2 number, since 2×102217510502 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221751050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819539 + ... + 2823161.

It is an arithmetic number, because the mean of its divisors is an integer number (301980672).

Almost surely, 210221751050 is an apocalyptic number.

10221751050 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 10221751050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495072256).

10221751050 is an abundant number, since it is smaller than the sum of its proper divisors (18768393462).

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

10221751050 is a wasteful number, since it uses less digits than its factorization.

10221751050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The spelling of 10221751050 in words is "ten billion, two hundred twenty-one million, seven hundred fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 2687 3623 5374 7246 8061 10869 13435 16122 18115 18809 21738 25361 26870 36230 37618 40305 50722 54345 56427 67175 76083 80610 90575 94045 108690 112854 126805 134350 152166 181150 188090 201525 253610 271725 282135 380415 403050 470225 543450 564270 634025 760830 940450 1268050 1410675 1902075 2821350 3804150 9735001 19470002 29205003 48675005 58410006 68145007 97350010 136290014 146025015 204435021 243375025 292050030 340725035 408870042 486750050 681450070 730125075 1022175105 1460250150 1703625175 2044350210 3407250350 5110875525 10221751050