Search a number
-
+
10212202000020 = 2235376305972949
BaseRepresentation
bin1001010010011011011010…
…1011000010111010010100
31100011021110220201202121110
42110212312223002322110
52314304042203000040
633415230522215020
72102543612522346
oct224466653027224
940137426652543
1010212202000020
113287a74885459
12118b239954470
13591011416947
142743b79b1296
1512a999739980
hex949b6ac2e94

10212202000020 has 96 divisors (see below), whose sum is σ = 29367849168000. Its totient is φ = 2649574070784.

The previous prime is 10212201999949. The next prime is 10212202000027. The reversal of 10212202000020 is 2000020221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212202000027) 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, 139954506 + ... + 140027454.

It is an arithmetic number, because the mean of its divisors is an integer number (305915095500).

Almost surely, 210212202000020 is an apocalyptic number.

10212202000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212202000020 is an abundant number, since it is smaller than the sum of its proper divisors (19155647167980).

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

10212202000020 is a wasteful number, since it uses less digits than its factorization.

10212202000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136057 (or 136055 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10212202000020 its reverse (2000020221201), we get a palindrome (12212222221221).

The spelling of 10212202000020 in words is "ten trillion, two hundred twelve billion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 63059 72949 126118 145898 189177 218847 252236 291796 315295 364745 378354 437694 630590 729490 756708 875388 945885 1094235 1261180 1458980 1891770 2188470 2333183 2699113 3783540 4376940 4666366 5398226 6999549 8097339 9332732 10796452 11665915 13495565 13999098 16194678 23331830 26991130 27998196 32389356 34997745 40486695 46663660 53982260 69995490 80973390 139990980 161946780 4600090991 9200181982 13800272973 18400363964 23000454955 27600545946 46000909910 55201091892 69001364865 92001819820 138002729730 170203366667 276005459460 340406733334 510610100001 680813466668 851016833335 1021220200002 1702033666670 2042440400004 2553050500005 3404067333340 5106101000010 10212202000020