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2106212004 = 2233131500151
BaseRepresentation
bin111110110001010…
…0011111010100100
312102210012122201000
41331202203322210
513303142241004
6544555233300
7103123335531
oct17542437244
95383178630
102106212004
119909a1286
124a9448830
132774844c0
1415da25d88
15c4d92c39
hex7d8a3ea4

2106212004 has 48 divisors (see below), whose sum is σ = 5880595840. Its totient is φ = 648064800.

The previous prime is 2106211981. The next prime is 2106212027. The reversal of 2106212004 is 4002126012.

2106212004 is a `hidden beast` number, since 21 + 0 + 621 + 20 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2106211981) and next prime (2106212027).

It is a super-2 number, since 2×21062120042 = 8872258011587392032, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748672 + ... + 751479.

Almost surely, 22106212004 is an apocalyptic number.

It is an amenable number.

2106212004 is an abundant number, since it is smaller than the sum of its proper divisors (3774383836).

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

2106212004 is a wasteful number, since it uses less digits than its factorization.

2106212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500177 (or 1500169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2106212004 is about 45893.4854200463. The cubic root of 2106212004 is about 1281.8406144969.

Adding to 2106212004 its reverse (4002126012), we get a palindrome (6108338016).

The spelling of 2106212004 in words is "two billion, one hundred six million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1500151 3000302 4500453 6000604 9000906 13501359 18001812 19501963 27002718 39003926 40504077 54005436 58505889 78007852 81008154 117011778 162016308 175517667 234023556 351035334 526553001 702070668 1053106002 2106212004