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2132103204 = 22327111914027
BaseRepresentation
bin111111100010101…
…0101000000100100
312111120221001202100
41333011111000210
513331304300304
6551322212100
7103556402220
oct17705250044
95446831670
102132103204
119a4575770
124b6054030
1327c94b23a
14163245780
15c72a9439
hex7f155024

2132103204 has 144 divisors (see below), whose sum is σ = 6756212736. Its totient is φ = 550756800.

The previous prime is 2132103203. The next prime is 2132103227. The reversal of 2132103204 is 4023012312.

2132103204 is a `hidden beast` number, since 21 + 321 + 0 + 320 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2132103203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527439 + ... + 531465.

It is an arithmetic number, because the mean of its divisors is an integer number (46918144).

Almost surely, 22132103204 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 2132103204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378106368).

2132103204 is an abundant number, since it is smaller than the sum of its proper divisors (4624109532).

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

2132103204 is a wasteful number, since it uses less digits than its factorization.

2132103204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132103204 is about 46174.7030743025. The cubic root of 2132103204 is about 1287.0716992311.

Adding to 2132103204 its reverse (4023012312), we get a palindrome (6155115516).

The spelling of 2132103204 in words is "two billion, one hundred thirty-two million, one hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 191 198 231 252 308 382 396 462 573 693 764 924 1146 1337 1386 1719 2101 2292 2674 2772 3438 4011 4027 4202 5348 6303 6876 8022 8054 8404 12033 12081 12606 14707 16044 16108 18909 24066 24162 25212 28189 29414 36243 37818 44121 44297 48132 48324 56378 58828 72486 75636 84567 88242 88594 112756 132363 132891 144972 169134 176484 177188 253701 264726 265782 310079 338268 398673 507402 529452 531564 620158 769157 797346 930237 1014804 1240316 1538314 1594692 1860474 2307471 2790711 3076628 3720948 4614942 5384099 5581422 6922413 8460727 9229884 10768198 11162844 13844826 16152297 16921454 21536396 25382181 27689652 32304594 33842908 48456891 50764362 59225089 64609188 76146543 96913782 101528724 118450178 152293086 177675267 193827564 236900356 304586172 355350534 533025801 710701068 1066051602 2132103204