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2126125000 = 235673233
BaseRepresentation
bin111111010111010…
…0001011111001000
312111011200100012101
41332232201133020
513323242000000
6550550123144
7103454523106
oct17656413710
95434610171
102126125000
119a11621aa
124b40504b4
1327b63713c
1416252ac76
15c69c7e6a
hex7eba17c8

2126125000 has 112 divisors (see below), whose sum is σ = 5072981940. Its totient is φ = 835200000.

The previous prime is 2126124997. The next prime is 2126125019. The reversal of 2126125000 is 5216212.

2126125000 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 14 ways, for example, as 2011163716 + 114961284 = 44846^2 + 10722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9124884 + ... + 9125116.

Almost surely, 22126125000 is an apocalyptic number.

2126125000 is a gapful number since it is divisible by the number (20) 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 2126125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536490970).

2126125000 is an abundant number, since it is smaller than the sum of its proper divisors (2946856940).

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

2126125000 is an frugal number, since it uses more digits than its factorization.

2126125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2126125000 is about 46109.9230101287. The cubic root of 2126125000 is about 1285.8676330910.

The spelling of 2126125000 in words is "two billion, one hundred twenty-six million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 233 250 292 365 466 500 584 625 730 932 1000 1165 1250 1460 1825 1864 2330 2500 2920 3125 3650 4660 5000 5825 6250 7300 9125 9320 11650 12500 14600 15625 17009 18250 23300 25000 29125 31250 34018 36500 45625 46600 58250 62500 68036 73000 85045 91250 116500 125000 136072 145625 170090 182500 228125 233000 291250 340180 365000 425225 456250 582500 680360 728125 850450 912500 1140625 1165000 1456250 1700900 1825000 2126125 2281250 2912500 3401800 3640625 4252250 4562500 5825000 7281250 8504500 9125000 10630625 14562500 17009000 21261250 29125000 42522500 53153125 85045000 106306250 212612500 265765625 425225000 531531250 1063062500 2126125000