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212230132300 = 225231431158843
BaseRepresentation
bin1100010110100111100…
…1101101001001001100
3202021210200102210000101
43011221321231021030
511434121403213200
6241255220140444
721222155234254
oct3055171551114
9667720383011
10212230132300
118200841665a
123516b537724
131702305b254
14a3b44c6964
1557c200226a
hex3169e6d24c

212230132300 has 72 divisors (see below), whose sum is σ = 476501501952. Its totient is φ = 81962472000.

The previous prime is 212230132273. The next prime is 212230132313. The reversal of 212230132300 is 3231032212.

212230132300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 1256679 + ... + 1415521.

It is an arithmetic number, because the mean of its divisors is an integer number (6618076416).

Almost surely, 2212230132300 is an apocalyptic number.

212230132300 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 212230132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238250750976).

212230132300 is an abundant number, since it is smaller than the sum of its proper divisors (264271369652).

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

212230132300 is a wasteful number, since it uses less digits than its factorization.

212230132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159319 (or 159312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 212230132300 its reverse (3231032212), we get a palindrome (215461164512).

The spelling of 212230132300 in words is "two hundred twelve billion, two hundred thirty million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 431 620 775 862 1550 1724 2155 3100 4310 8620 10775 13361 21550 26722 43100 53444 66805 133610 158843 267220 317686 334025 635372 668050 794215 1336100 1588430 3176860 3971075 4924133 7942150 9848266 15884300 19696532 24620665 49241330 68461333 98482660 123103325 136922666 246206650 273845332 342306665 492413300 684613330 1369226660 1711533325 2122301323 3423066650 4244602646 6846133300 8489205292 10611506615 21223013230 42446026460 53057533075 106115066150 212230132300