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2132545100 = 2252747531223
BaseRepresentation
bin111111100011100…
…0000111001001100
312111121202111220212
41333013000321030
513331412420400
6551335501552
7103563222440
oct17707007114
95447674825
102132545100
119a4847774
124b62278b8
1327ca7440a
1416331c820
15c7345335
hex7f1c0e4c

2132545100 has 144 divisors (see below), whose sum is σ = 5507647488. Its totient is φ = 701525760.

The previous prime is 2132545049. The next prime is 2132545111. The reversal of 2132545100 is 15452312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1743089 + ... + 1744311.

It is an arithmetic number, because the mean of its divisors is an integer number (38247552).

Almost surely, 22132545100 is an apocalyptic number.

2132545100 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 2132545100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753823744).

2132545100 is an abundant number, since it is smaller than the sum of its proper divisors (3375102388).

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

2132545100 is a wasteful number, since it uses less digits than its factorization.

2132545100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2132545100 is about 46179.4878706986. The cubic root of 2132545100 is about 1287.1606118357.

Adding to 2132545100 its reverse (15452312), we get a palindrome (2147997412).

The spelling of 2132545100 in words is "two billion, one hundred thirty-two million, five hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 53 70 94 100 106 140 175 188 212 235 265 329 350 371 470 530 658 700 742 940 1060 1175 1223 1316 1325 1484 1645 1855 2350 2446 2491 2650 3290 3710 4700 4892 4982 5300 6115 6580 7420 8225 8561 9275 9964 12230 12455 16450 17122 17437 18550 24460 24910 30575 32900 34244 34874 37100 42805 49820 57481 61150 62275 64819 69748 85610 87185 114962 122300 124550 129638 171220 174370 214025 229924 249100 259276 287405 324095 348740 402367 428050 435925 453733 574810 648190 804734 856100 871850 907466 1149620 1296380 1437025 1609468 1620475 1743700 1814932 2011835 2268665 2874050 3046493 3240950 4023670 4537330 5748100 6092986 6481900 8047340 9074660 10059175 11343325 12185972 15232465 20118350 21325451 22686650 30464930 40236700 42650902 45373300 60929860 76162325 85301804 106627255 152324650 213254510 304649300 426509020 533136275 1066272550 2132545100