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212442303042 = 23437311113963
BaseRepresentation
bin1100010111011010001…
…1000100101001000010
3202022100110200011120000
43011312203010221002
511440040212144132
6241332235500430
721230342531664
oct3056643045102
9668313604500
10212442303042
1182107161682
123520a5b7716
1317057cb7178
14a3d4756534
1557d596287c
hex31768c4a42

212442303042 has 80 divisors (see below), whose sum is σ = 490470057792. Its totient is φ = 68678059680.

The previous prime is 212442303013. The next prime is 212442303091. The reversal of 212442303042 is 240303244212.

212442303042 is a `hidden beast` number, since 2 + 124 + 4 + 230 + 304 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212442302997 and 212442303015.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1807153 + ... + 1921115.

Almost surely, 2212442303042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212442303042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245235028896).

212442303042 is an abundant number, since it is smaller than the sum of its proper divisors (278027754750).

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

212442303042 is a wasteful number, since it uses less digits than its factorization.

212442303042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114325 (or 114316 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 212442303042 its reverse (240303244212), we get a palindrome (452745547254).

The spelling of 212442303042 in words is "two hundred twelve billion, four hundred forty-two million, three hundred three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 311 333 622 666 933 999 1866 1998 2799 2997 5598 5994 8397 11507 16794 23014 25191 34521 50382 69042 103563 113963 207126 227926 310689 341889 621378 683778 932067 1025667 1864134 2051334 3077001 4216631 6154002 8433262 9231003 12649893 18462006 25299786 35442493 37949679 70884986 75899358 106327479 113849037 212654958 227698074 318982437 341547111 637964874 683094222 956947311 1311372241 1913894622 2622744482 2870841933 3934116723 5741683866 7868233446 11802350169 23604700338 35407050507 70814101014 106221151521 212442303042