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2132132012200 = 2352431619153133
BaseRepresentation
bin11111000001101100111…
…110001010000010101000
321112211101221112112111201
4133001230332022002220
5234413101243342300
64311253220333544
7310020135035311
oct37015476120250
97484357475451
102132132012200
11752260a33273
122a527a8442b4
131260a0054888
14752a5179608
153a6dd0cd66a
hex1f06cf8a0a8

2132132012200 has 96 divisors (see below), whose sum is σ = 5075657056800. Its totient is φ = 832499055360.

The previous prime is 2132132012177. The next prime is 2132132012209. The reversal of 2132132012200 is 22102312312.

It is not an unprimeable number, because it can be changed into a prime (2132132012209) 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 23 ways as a sum of consecutive naturals, for example, 13846834 + ... + 13999966.

It is an arithmetic number, because the mean of its divisors is an integer number (52871427675).

Almost surely, 22132132012200 is an apocalyptic number.

2132132012200 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 2132132012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537828528400).

2132132012200 is an abundant number, since it is smaller than the sum of its proper divisors (2943525044600).

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

2132132012200 is a wasteful number, since it uses less digits than its factorization.

2132132012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154811 (or 154802 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2132132012200 its reverse (22102312312), we get a palindrome (2154234324512).

The spelling of 2132132012200 in words is "two trillion, one hundred thirty-two billion, one hundred thirty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1619 1720 2150 3238 4300 6476 8095 8600 12952 16190 32380 40475 64760 69617 80950 139234 153133 161900 278468 306266 323800 348085 556936 612532 696170 765665 1225064 1392340 1531330 1740425 2784680 3062660 3480850 3828325 6125320 6584719 6961700 7656650 13169438 13923400 15313300 26338876 30626600 32923595 52677752 65847190 131694380 164617975 247922327 263388760 329235950 495844654 658471900 991689308 1239611635 1316943800 1983378616 2479223270 4958446540 6198058175 9916893080 10660660061 12396116350 21321320122 24792232700 42642640244 49584465400 53303300305 85285280488 106606600610 213213201220 266516501525 426426402440 533033003050 1066066006100 2132132012200