Search a number
-
+
22112012120100 = 22352717619384093
BaseRepresentation
bin1010000011100010110101…
…01000001011000000100100
32220021212222010212121212120
411001301122220023000210
510344240400100320400
6115010041303345540
74441353162601530
oct501613250130044
986255863777776
1022112012120100
117055719423601
1225915581522b0
13c451ccb73bc6
14566327222bc0
152852b6914ca0
hex141c5aa0b024

22112012120100 has 144 divisors (see below), whose sum is σ = 77418056677248. Its totient is φ = 4756869826560.

The previous prime is 22112012120089. The next prime is 22112012120113. The reversal of 22112012120100 is 102121021122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22112012120100.

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, 309656347 + ... + 309727746.

It is an arithmetic number, because the mean of its divisors is an integer number (537625393592).

Almost surely, 222112012120100 is an apocalyptic number.

22112012120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112012120100 is an abundant number, since it is smaller than the sum of its proper divisors (55306044557148).

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

22112012120100 is a wasteful number, since it uses less digits than its factorization.

22112012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619384134 (or 619384127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22112012120100 its reverse (102121021122), we get a palindrome (22214133141222).

The spelling of 22112012120100 in words is "twenty-two trillion, one hundred twelve billion, twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 619384093 1238768186 1858152279 2477536372 3096920465 3716304558 4335688651 6193840930 7432609116 8671377302 9290761395 10529529581 12387681860 13007065953 15484602325 17342754604 18581522790 21059059162 21678443255 26014131906 30969204650 31588588743 37163045580 42118118324 43356886510 46453806975 52028263812 52647647905 61938409300 63177177486 65035329765 73706707067 86713773020 92907613950 105295295810 108392216275 126354354972 130070659530 147413414134 157942943715 185815227900 210590591620 216784432550 221120121201 260141319060 263238239525 294826828268 315885887430 325176648825 368533535335 433568865100 442240242402 526476479050 631771774860 650353297650 737067070670 789714718575 884480484804 1052952958100 1105600606005 1300706595300 1474134141340 1579429437150 1842667676675 2211201212010 3158858874300 3685335353350 4422402424020 5528003030025 7370670706700 11056006060050 22112012120100