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212431002042 = 23753919103843
BaseRepresentation
bin1100010111010111011…
…1111101100110111010
3202022022200102000111110
43011311313331212322
511440024314031132
6241331153341150
721230144503320
oct3056567754672
9668280360443
10212431002042
1182100843006
12352068677b6
131705585b39c
14a3d3053d10
1557d497e1cc
hex3175dfd9ba

212431002042 has 64 divisors (see below), whose sum is σ = 495261112320. Its totient is φ = 59484020544.

The previous prime is 212431002041. The next prime is 212431002079. The reversal of 212431002042 is 240200134212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212431002041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1993773 + ... + 2097615.

It is an arithmetic number, because the mean of its divisors is an integer number (7738454880).

Almost surely, 2212431002042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212431002042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247630556160).

212431002042 is an abundant number, since it is smaller than the sum of its proper divisors (282830110278).

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

212431002042 is a wasteful number, since it uses less digits than its factorization.

212431002042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104827.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212431002042 its reverse (240200134212), we get a palindrome (452631136254).

The spelling of 212431002042 in words is "two hundred twelve billion, four hundred thirty-one million, two thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 919 1113 1838 2226 2757 5514 6433 12866 19299 38598 48707 97414 103843 146121 207686 292242 311529 340949 623058 681898 726901 1022847 1453802 2045694 2180703 4361406 5503679 11007358 16511037 33022074 38525753 77051506 95431717 115577259 190863434 231154518 286295151 572590302 668022019 1336044038 2004066057 4008132114 5057881001 10115762002 15173643003 30347286006 35405167007 70810334014 106215501021 212431002042