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1050550100 = 225253379523
BaseRepresentation
bin111110100111100…
…001111101010100
32201012210110210222
4332213201331110
54122420100400
6252124533512
735014346165
oct7647417524
92635713728
101050550100
1149a00a926
122539b1298
13139858aa2
149d74976c
1562369185
hex3e9e1f54

1050550100 has 72 divisors (see below), whose sum is σ = 2333288160. Its totient is φ = 410417280.

The previous prime is 1050550097. The next prime is 1050550117. The reversal of 1050550100 is 10550501.

It is a super-2 number, since 2×10505501002 = 2207311025220020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008439 + ... + 2008961.

It is an arithmetic number, because the mean of its divisors is an integer number (32406780).

Almost surely, 21050550100 is an apocalyptic number.

1050550100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166644080).

1050550100 is an abundant number, since it is smaller than the sum of its proper divisors (1282738060).

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

1050550100 is a wasteful number, since it uses less digits than its factorization.

1050550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 1050550100 is about 32412.1906078562. The cubic root of 1050550100 is about 1016.5738241236.

The spelling of 1050550100 in words is "one billion, fifty million, five hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 379 523 530 758 1046 1060 1325 1516 1895 2092 2615 2650 3790 5230 5300 7580 9475 10460 13075 18950 20087 26150 27719 37900 40174 52300 55438 80348 100435 110876 138595 198217 200870 277190 396434 401740 502175 554380 692975 792868 991085 1004350 1385950 1982170 2008700 2771900 3964340 4955425 9910850 10505501 19821700 21011002 42022004 52527505 105055010 210110020 262637525 525275050 1050550100