Search a number
-
+
212442427461 = 311231411373361
BaseRepresentation
bin1100010111011010001…
…1100011000001000101
3202022100110220111020010
43011312203203001011
511440040230134321
6241332242300433
721230343560505
oct3056643430105
9668313814203
10212442427461
1182107237100
123520a657719
131705802b9a4
14a3d4789a05
1557d5989676
hex31768e3045

212442427461 has 96 divisors (see below), whose sum is σ = 331732251648. Its totient is φ = 120637440000.

The previous prime is 212442427441. The next prime is 212442427481. The reversal of 212442427461 is 164724244212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212442427441) and next prime (212442427481).

It is not a de Polignac number, because 212442427461 - 29 = 212442426949 is a prime.

Its product of digits (172032) is a multiple of the sum of its prime divisors (3584).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442427441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 63206421 + ... + 63209781.

It is an arithmetic number, because the mean of its divisors is an integer number (3455544288).

Almost surely, 2212442427461 is an apocalyptic number.

It is an amenable number.

212442427461 is a deficient number, since it is larger than the sum of its proper divisors (119289824187).

212442427461 is a wasteful number, since it uses less digits than its factorization.

212442427461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3584 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The spelling of 212442427461 in words is "two hundred twelve billion, four hundred forty-two million, four hundred twenty-seven thousand, four hundred sixty-one".

Divisors: 1 3 11 31 33 41 93 121 123 137 341 363 411 451 1023 1271 1353 1507 3361 3751 3813 4247 4521 4961 5617 10083 11253 12741 13981 14883 16577 16851 36971 41943 46717 49731 61787 104191 110913 137801 140151 153791 174127 185361 312573 406681 413403 460457 461373 513887 522381 679657 1146101 1220043 1381371 1515811 1541661 1915397 2038971 3438303 4271831 4547433 5065027 5746191 12607111 12815493 14274167 15195081 16673921 18878737 21069367 37821333 42822501 46990141 50021763 55715297 56636211 63208101 140970423 157015837 167145891 207666107 471047511 516891551 585240847 622998321 1550674653 1727174207 1755722541 2284327177 5181522621 6437649317 6852981531 19312947951 70814142487 212442427461