Search a number
-
+
22121132124300 = 223521113331502841
BaseRepresentation
bin1010000011110011110100…
…01110001110100010001100
32220022202111201202211200220
411001321322032032202030
510344413034310434200
6115014150252551340
74442125163422206
oct501717216164214
986282451684626
1022121132124300
117059579429760
122593282482550
13c4602444ccb1
14566950555776
1528564c3e84a0
hex141e7a38e88c

22121132124300 has 144 divisors (see below), whose sum is σ = 69827713490304. Its totient is φ = 5362285760000.

The previous prime is 22121132124233. The next prime is 22121132124319. The reversal of 22121132124300 is 342123112122.

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, 43740880 + ... + 44243720.

It is an arithmetic number, because the mean of its divisors is an integer number (484914677016).

Almost surely, 222121132124300 is an apocalyptic number.

22121132124300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121132124300 is an abundant number, since it is smaller than the sum of its proper divisors (47706581366004).

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

22121132124300 is a wasteful number, since it uses less digits than its factorization.

22121132124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516200 (or 516193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22121132124300 its reverse (342123112122), we get a palindrome (22463255236422).

The spelling of 22121132124300 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 13331 26662 39993 53324 66655 79986 133310 146641 159972 199965 266620 293282 333275 399930 439923 502841 586564 666550 733205 799860 879846 999825 1005682 1333100 1466410 1508523 1759692 1999650 2011364 2199615 2514205 2932820 3017046 3666025 3999300 4399230 5028410 5531251 6034092 7332050 7542615 8798460 10056820 10998075 11062502 12571025 14664100 15085230 16593753 21996150 22125004 25142050 27656255 30170460 33187506 37713075 43992300 50284100 55312510 66375012 75426150 82968765 110625020 138281275 150852300 165937530 276562550 331875060 414843825 553125100 829687650 1659375300 6703373371 13406746742 20110120113 26813493484 33516866855 40220240226 67033733710 73737107081 80440480452 100550600565 134067467420 147474214162 167584334275 201101201130 221211321243 294948428324 335168668550 368685535405 402202402260 442422642486 502753002825 670337337100 737371070810 884845284972 1005506005650 1106056606215 1474742141620 1843427677025 2011012011300 2212113212430 3686855354050 4424226424860 5530283031075 7373710708100 11060566062150 22121132124300