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2163104100 = 22325213917291
BaseRepresentation
bin1000000011101110…
…0101100101100100
312120202021001222200
42000323211211210
513412223312400
6554350454500
7104414036643
oct20073454544
95522231880
102163104100
11a1001a143
12504504430
132861b3971
141673d535a
15c9d7eb00
hex80ee5964

2163104100 has 108 divisors (see below), whose sum is σ = 6829302480. Its totient is φ = 572644800.

The previous prime is 2163104063. The next prime is 2163104129. The reversal of 2163104100 is 14013612.

It is a happy number.

2163104100 is a `hidden beast` number, since 21 + 631 + 0 + 4 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116455 + ... + 133745.

Almost surely, 22163104100 is an apocalyptic number.

2163104100 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 2163104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414651240).

2163104100 is an abundant number, since it is smaller than the sum of its proper divisors (4666198380).

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

2163104100 is a wasteful number, since it uses less digits than its factorization.

2163104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17450 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2163104100 is about 46509.1829642276. The cubic root of 2163104100 is about 1293.2797380691.

Adding to 2163104100 its reverse (14013612), we get a palindrome (2177117712).

The spelling of 2163104100 in words is "two billion, one hundred sixty-three million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 139 150 180 225 278 300 417 450 556 695 834 900 1251 1390 1668 2085 2502 2780 3475 4170 5004 6255 6950 8340 10425 12510 13900 17291 20850 25020 31275 34582 41700 51873 62550 69164 86455 103746 125100 155619 172910 207492 259365 311238 345820 432275 518730 622476 778095 864550 1037460 1296825 1556190 1729100 2403449 2593650 3112380 3890475 4806898 5187300 7210347 7780950 9613796 12017245 14420694 15561900 21631041 24034490 28841388 36051735 43262082 48068980 60086225 72103470 86524164 108155205 120172450 144206940 180258675 216310410 240344900 360517350 432620820 540776025 721034700 1081552050 2163104100