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212202131094 = 232411272264069
BaseRepresentation
bin1100010110100000111…
…0111000111010010110
3202021201201202011120200
43011220032320322112
511434042221143334
6241252340041330
721221365232142
oct3055016707226
9667651664520
10212202131094
1181aa3630968
1235162093246
131701a305ca5
14a3b08b8222
1557be820799
hex31683b8e96

212202131094 has 48 divisors (see below), whose sum is σ = 474693972480. Its totient is φ = 68465416320.

The previous prime is 212202131087. The next prime is 212202131101. The reversal of 212202131094 is 490131202212.

212202131094 is a `hidden beast` number, since 21 + 220 + 21 + 310 + 94 = 666.

212202131094 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212202131087) and next prime (212202131101).

It is a congruent number.

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, 1038309 + ... + 1225760.

It is an arithmetic number, because the mean of its divisors is an integer number (9889457760).

Almost surely, 2212202131094 is an apocalyptic number.

212202131094 is an abundant number, since it is smaller than the sum of its proper divisors (262491841386).

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

212202131094 is a wasteful number, since it uses less digits than its factorization.

212202131094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264245 (or 2264242 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 212202131094 in words is "two hundred twelve billion, two hundred two million, one hundred thirty-one thousand, ninety-four".

Divisors: 1 2 3 6 9 18 41 82 123 127 246 254 369 381 738 762 1143 2286 5207 10414 15621 31242 46863 93726 2264069 4528138 6792207 13584414 20376621 40753242 92826829 185653658 278480487 287536763 556960974 575073526 835441461 862610289 1670882922 1725220578 2587830867 5175661734 11789007283 23578014566 35367021849 70734043698 106101065547 212202131094