Search a number
-
+
10022122022220 = 22325711723096827
BaseRepresentation
bin1001000111010111010100…
…0001011110010101001100
31022111002211220201102022200
42101311311001132111030
52303200301214202340
633152033240441500
72053034345416020
oct221656501362514
938432756642280
1010022122022220
1132143a3672810
12115a430479290
1357910b3619b9
14269105194380
15125a72126330
hex91d7505e54c

10022122022220 has 144 divisors (see below), whose sum is σ = 37901843336448. Its totient is φ = 2082518858880.

The previous prime is 10022122022219. The next prime is 10022122022233. The reversal of 10022122022220 is 2222022122001.

10022122022220 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 220 + 2 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022122022193 and 10022122022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361534554 + ... + 361562273.

It is an arithmetic number, because the mean of its divisors is an integer number (263207245392).

Almost surely, 210022122022220 is an apocalyptic number.

10022122022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022122022220 is an abundant number, since it is smaller than the sum of its proper divisors (27879721314228).

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

10022122022220 is a wasteful number, since it uses less digits than its factorization.

10022122022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723096860 (or 723096855 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10022122022220 its reverse (2222022122001), we get a palindrome (12244144144221).

The spelling of 10022122022220 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 723096827 1446193654 2169290481 2892387308 3615484135 4338580962 5061677789 6507871443 7230968270 7954065097 8677161924 10123355578 10846452405 13015742886 14461936540 15185033367 15908130194 20246711156 21692904810 23862195291 25308388945 26031485772 30370066734 31816260388 32539357215 39770325485 43385809620 45555100101 47724390582 50616777890 55678455679 60740133468 65078714430 71586585873 75925166835 79540650970 91110200202 95448781164 101233555780 111356911358 119310976455 130157428860 143173171746 151850333670 159081301940 167035367037 182220400404 222713822716 227775500505 238621952910 278392278395 286346343492 303700667340 334070734074 357932929365 455551001010 477243905820 501106101111 556784556790 668141468148 715865858730 835176835185 911102002020 1002212202222 1113569113580 1431731717460 1670353670370 2004424404444 2505530505555 3340707340740 5011061011110 10022122022220