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2132211100 = 2252103120681
BaseRepresentation
bin111111100010110…
…1111010110011100
312111121010112202111
41333011233112130
513331321223400
6551324403404
7103560331615
oct17705572634
95447115674
102132211100
119a4639838
124b60a6564
1327c988396
14163272c0c
15c72cb3ba
hex7f16f59c

2132211100 has 36 divisors (see below), whose sum is σ = 4631609808. Its totient is φ = 852016000.

The previous prime is 2132211079. The next prime is 2132211121. The reversal of 2132211100 is 11122312.

It is an interprime number because it is at equal distance from previous prime (2132211079) and next prime (2132211121).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92760 + ... + 113440.

It is an arithmetic number, because the mean of its divisors is an integer number (128655828).

Almost surely, 22132211100 is an apocalyptic number.

2132211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132211100 is an abundant number, since it is smaller than the sum of its proper divisors (2499398708).

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

2132211100 is a wasteful number, since it uses less digits than its factorization.

2132211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21726 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2132211100 is about 46175.8714048798. The cubic root of 2132211100 is about 1287.0934098039.

Adding to 2132211100 its reverse (11122312), we get a palindrome (2143333412).

The spelling of 2132211100 in words is "two billion, one hundred thirty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1031 2062 4124 5155 10310 20620 20681 25775 41362 51550 82724 103100 103405 206810 413620 517025 1034050 2068100 21322111 42644222 85288444 106610555 213221110 426442220 533052775 1066105550 2132211100