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9000001050 = 23524312710987
BaseRepresentation
bin10000110000111000…
…10001111000011010
3212020020002102110020
420120130101320122
5121413000013200
64045021131310
7436012514055
oct103034217032
925206072406
109000001050
1138a92a1aa7
1218b20b9b36
13b05780911
14615415a9c
1537a1cbea0
hex218711e1a

9000001050 has 96 divisors (see below), whose sum is σ = 23021002752. Its totient is φ = 2325516480.

The previous prime is 9000001019. The next prime is 9000001081. The reversal of 9000001050 is 501000009.

It is an interprime number because it is at equal distance from previous prime (9000001019) and next prime (9000001081).

It is a super-2 number, since 2×90000010502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813657 + ... + 824643.

It is an arithmetic number, because the mean of its divisors is an integer number (239802112).

Almost surely, 29000001050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000001050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510501376).

9000001050 is an abundant number, since it is smaller than the sum of its proper divisors (14021001702).

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

9000001050 is a wasteful number, since it uses less digits than its factorization.

9000001050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 9000001050 is about 94868.3353390371. The cubic root of 9000001050 is about 2080.0839039440.

Adding to 9000001050 its reverse (501000009), we get a palindrome (9501001059).

The spelling of 9000001050 in words is "nine billion, one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 127 129 150 215 254 258 381 430 635 645 762 1075 1270 1290 1905 2150 3175 3225 3810 5461 6350 6450 9525 10922 10987 16383 19050 21974 27305 32766 32961 54610 54935 65922 81915 109870 136525 163830 164805 273050 274675 329610 409575 472441 549350 819150 824025 944882 1395349 1417323 1648050 2362205 2790698 2834646 4186047 4724410 6976745 7086615 8372094 11811025 13953490 14173230 20930235 23622050 34883725 35433075 41860470 60000007 69767450 70866150 104651175 120000014 180000021 209302350 300000035 360000042 600000070 900000105 1500000175 1800000210 3000000350 4500000525 9000001050