Search a number
-
+
211142012312 = 23711413982813
BaseRepresentation
bin1100010010100100001…
…0110110110110011000
3202011222211221120000002
43010221002312312120
511424404323343222
6240555230032132
721153203330630
oct3045102666630
9664884846002
10211142012312
11815aa185a40
1234b07048648
1316bab7a9a7a
14a30db9b6c0
15575b716392
hex31290b6d98

211142012312 has 64 divisors (see below), whose sum is σ = 493703942400. Its totient is φ = 82242253440.

The previous prime is 211142012303. The next prime is 211142012321. The reversal of 211142012312 is 213210241112.

It is an interprime number because it is at equal distance from previous prime (211142012303) and next prime (211142012321).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2508218 + ... + 2591030.

It is an arithmetic number, because the mean of its divisors is an integer number (7714124100).

Almost surely, 2211142012312 is an apocalyptic number.

211142012312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211142012312 is an abundant number, since it is smaller than the sum of its proper divisors (282561930088).

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

211142012312 is a wasteful number, since it uses less digits than its factorization.

211142012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86976 (or 86972 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211142012312 its reverse (213210241112), we get a palindrome (424352253424).

The spelling of 211142012312 in words is "two hundred eleven billion, one hundred forty-two million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 4139 8278 16556 28973 33112 45529 57946 82813 91058 115892 165626 182116 231784 318703 331252 364232 579691 637406 662504 910943 1159382 1274812 1821886 2318764 2549624 3643772 4637528 6376601 7287544 12753202 25506404 51012808 342763007 685526014 1371052028 2399341049 2742104056 3770393077 4798682098 7540786154 9597364196 15081572308 19194728392 26392751539 30163144616 52785503078 105571006156 211142012312