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2063380100 = 2252175322901
BaseRepresentation
bin111101011111100…
…1010111010000100
312022210121120101012
41322333022322010
513211211130400
6540425221352
7102063304265
oct17277127204
95283546335
102063380100
119697a7011
12497031858
1326b638992
1415807696c
15c1231d35
hex7afcae84

2063380100 has 72 divisors (see below), whose sum is σ = 4830581448. Its totient is φ = 762112000.

The previous prime is 2063380097. The next prime is 2063380103. The reversal of 2063380100 is 10833602.

It is an interprime number because it is at equal distance from previous prime (2063380097) and next prime (2063380103).

It can be written as a sum of positive squares in 12 ways, for example, as 6031936 + 2057348164 = 2456^2 + 45358^2 .

It is not an unprimeable number, because it can be changed into a prime (2063380103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78650 + ... + 101550.

It is an arithmetic number, because the mean of its divisors is an integer number (67091409).

Almost surely, 22063380100 is an apocalyptic number.

2063380100 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 2063380100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415290724).

2063380100 is an abundant number, since it is smaller than the sum of its proper divisors (2767201348).

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

2063380100 is a wasteful number, since it uses less digits than its factorization.

2063380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22985 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2063380100 is about 45424.4438601069. The cubic root of 2063380100 is about 1273.0918734487.

The spelling of 2063380100 in words is "two billion, sixty-three million, three hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 5300 9010 18020 22525 22901 45050 45802 90100 91604 114505 229010 389317 458020 572525 778634 1145050 1213753 1557268 1946585 2290100 2427506 3893170 4855012 6068765 7786340 9732925 12137530 19465850 20633801 24275060 30343825 38931700 41267602 60687650 82535204 103169005 121375300 206338010 412676020 515845025 1031690050 2063380100