Search a number
-
+
10222012120100 = 22521119489091489
BaseRepresentation
bin1001010010111111111101…
…1001101011110000100100
31100012012210121012111110012
42110233333121223300210
52314434140100320400
633423532203145352
72103341663256464
oct224577731536044
940165717174405
1010222012120100
113291149399910
121191117215258
13591c15981221
14274a68827ba4
1512ad70adbd35
hex94bff66bc24

10222012120100 has 72 divisors (see below), whose sum is σ = 25471884799200. Its totient is φ = 3521458713600.

The previous prime is 10222012120079. The next prime is 10222012120129. The reversal of 10222012120100 is 102121022201.

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, 244524845 + ... + 244566644.

Almost surely, 210222012120100 is an apocalyptic number.

10222012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222012120100 is an abundant number, since it is smaller than the sum of its proper divisors (15249872679100).

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

10222012120100 is a wasteful number, since it uses less digits than its factorization.

10222012120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489091533 (or 489091526 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222012120100 its reverse (102121022201), we get a palindrome (10324133142301).

The spelling of 10222012120100 in words is "ten trillion, two hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 489091489 978182978 1956365956 2445457445 4890914890 5380006379 9292738291 9781829780 10760012758 12227287225 18585476582 21520025516 24454574450 26900031895 37170953164 46463691455 48909148900 53800063790 92927382910 102220121201 107600127580 134500159475 185854765820 204440242402 232318457275 269000318950 408880484804 464636914550 511100606005 538000637900 929273829100 1022201212010 2044402424020 2555503030025 5111006060050 10222012120100