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1001000001050 = 25273162136007
BaseRepresentation
bin11101001000100000011…
…11111101111000011010
310112200202102002202000222
432210100033331320122
5112400022000013200
62043504132000042
7132214466423000
oct16442017757032
93480672082028
101001000001050
1135658144a545
12142000a60022
137351750633a
143663d194a70
151b089447d85
hexe9103fde1a

1001000001050 has 96 divisors (see below), whose sum is σ = 2172665107200. Its totient is φ = 342978753600.

The previous prime is 1001000001037. The next prime is 1001000001059. The reversal of 1001000001050 is 501000001001.

It is a happy number.

It is a super-2 number, since 2×10010000010502 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001000001059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27782147 + ... + 27818153.

It is an arithmetic number, because the mean of its divisors is an integer number (22631928200).

Almost surely, 21001000001050 is an apocalyptic number.

1001000001050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001000001050 is an abundant number, since it is smaller than the sum of its proper divisors (1171665106150).

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

1001000001050 is a wasteful number, since it uses less digits than its factorization.

1001000001050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37661 (or 37642 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 1001000001050 its reverse (501000001001), we get a palindrome (1502000002051).

The spelling of 1001000001050 in words is "one trillion, one billion, one thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 490 686 1225 1621 1715 2450 3242 3430 8105 8575 11347 16210 17150 22694 36007 40525 56735 72014 79429 81050 113470 158858 180035 252049 283675 360070 397145 504098 556003 567350 794290 900175 1112006 1260245 1764343 1800350 1985725 2520490 2780015 3528686 3971450 5560030 6301225 8821715 12350401 12602450 13900075 17643430 24700802 27800150 44108575 58367347 61752005 88217150 116734694 123504010 291836735 308760025 408571429 583673470 617520050 817142858 1459183675 2042857145 2860000003 2918367350 4085714290 5720000006 10214285725 14300000015 20020000021 20428571450 28600000030 40040000042 71500000075 100100000105 143000000150 200200000210 500500000525 1001000001050