Search a number
-
+
312301344042100 = 225271572841686479
BaseRepresentation
bin100011100000010010101001…
…0101011001010110001110100
31111221202201100122000010112201
41013000211102223022301310
5311413221123033321400
63024113131250554244
7122532012303550150
oct10700452253126164
91457681318003481
10312301344042100
119056629003a316
122b03a114298984
1310534b7620b88a
145719673c60060
152618a1be2d06a
hex11c0952acac74

312301344042100 has 72 divisors (see below), whose sum is σ = 779440501226240. Its totient is φ = 106392741736320.

The previous prime is 312301344042007. The next prime is 312301344042119. The reversal of 312301344042100 is 1240443103213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420733340 + ... + 1420953139.

Almost surely, 2312301344042100 is an apocalyptic number.

It is an amenable number.

312301344042100 is an abundant number, since it is smaller than the sum of its proper divisors (467139157184140).

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

312301344042100 is a wasteful number, since it uses less digits than its factorization.

312301344042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841686657 (or 2841686650 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312301344042100 its reverse (1240443103213), we get a palindrome (313541787145313).

The spelling of 312301344042100 in words is "three hundred twelve trillion, three hundred one billion, three hundred forty-four million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 157 175 314 350 628 700 785 1099 1570 2198 3140 3925 4396 5495 7850 10990 15700 21980 27475 54950 109900 2841686479 5683372958 11366745916 14208432395 19891805353 28416864790 39783610706 56833729580 71042161975 79567221412 99459026765 142084323950 198918053530 284168647900 397836107060 446144777203 497295133825 892289554406 994590267650 1784579108812 1989180535300 2230723886015 3123013440421 4461447772030 6246026880842 8922895544060 11153619430075 12492053761684 15615067202105 22307238860150 31230134404210 44614477720300 62460268808420 78075336010525 156150672021050 312301344042100