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2143102164 = 2237831492063
BaseRepresentation
bin111111110111101…
…0010010011010100
312112100121212111020
41333233102103110
513342113232124
6552354041140
7104052032160
oct17757222324
95470555436
102143102164
119aa7a8415
124b98791b0
13281ccc6b8
141648a9ca0
15c822d379
hex7fbd24d4

2143102164 has 96 divisors (see below), whose sum is σ = 5825433600. Its totient is φ = 600586368.

The previous prime is 2143102163. The next prime is 2143102201. The reversal of 2143102164 is 4612013412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143102163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037797 + ... + 1039859.

It is an arithmetic number, because the mean of its divisors is an integer number (60681600).

Almost surely, 22143102164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143102164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912716800).

2143102164 is an abundant number, since it is smaller than the sum of its proper divisors (3682331436).

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

2143102164 is a wasteful number, since it uses less digits than its factorization.

2143102164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2143102164 is about 46293.6514437995. The cubic root of 2143102164 is about 1289.2811258203.

Adding to 2143102164 its reverse (4612013412), we get a palindrome (6755115576).

The spelling of 2143102164 in words is "two billion, one hundred forty-three million, one hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 149 166 249 298 332 447 498 581 596 894 996 1043 1162 1743 1788 2063 2086 2324 3129 3486 4126 4172 6189 6258 6972 8252 12367 12378 12516 14441 24734 24756 28882 37101 43323 49468 57764 74202 86569 86646 148404 171229 173138 173292 259707 307387 342458 346276 513687 519414 614774 684916 922161 1027374 1038828 1198603 1229548 1844322 2054748 2151709 2397206 3595809 3688644 4303418 4794412 6455127 7191618 8606836 12910254 14383236 25513121 25820508 51026242 76539363 102052484 153078726 178591847 306157452 357183694 535775541 714367388 1071551082 2143102164