Search a number
-
+
22113313140300 = 223521737117187669
BaseRepresentation
bin1010000011100101010000…
…01011001010111001001100
32220022000022210222022001220
411001302220023022321030
510344301031130442200
6115010414341003340
74441430341231404
oct501625013127114
986260283868056
1022113313140300
117056226858308
12259185b9b3550
13c45379578345
1456640bd2b804
15285340c574a0
hex141ca82cae4c

22113313140300 has 144 divisors (see below), whose sum is σ = 69575725931040. Its totient is φ = 5400007741440.

The previous prime is 22113313140299. The next prime is 22113313140301. The reversal of 22113313140300 is 304131331122.

It is an interprime number because it is at equal distance from previous prime (22113313140299) and next prime (22113313140301).

It is not an unprimeable number, because it can be changed into a prime (22113313140301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58405135 + ... + 58782534.

It is an arithmetic number, because the mean of its divisors is an integer number (483164763410).

Almost surely, 222113313140300 is an apocalyptic number.

22113313140300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22113313140300 is an abundant number, since it is smaller than the sum of its proper divisors (47462412790740).

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

22113313140300 is a wasteful number, since it uses less digits than its factorization.

22113313140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117187740 (or 117187733 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22113313140300 its reverse (304131331122), we get a palindrome (22417444471422).

The spelling of 22113313140300 in words is "twenty-two trillion, one hundred thirteen billion, three hundred thirteen million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 37 50 51 60 68 74 75 85 100 102 111 148 150 170 185 204 222 255 300 340 370 425 444 510 555 629 740 850 925 1020 1110 1258 1275 1700 1850 1887 2220 2516 2550 2775 3145 3700 3774 5100 5550 6290 7548 9435 11100 12580 15725 18870 31450 37740 47175 62900 94350 188700 117187669 234375338 351563007 468750676 585938345 703126014 1171876690 1406252028 1757815035 1992190373 2343753380 2929691725 3515630070 3984380746 4335943753 5859383450 5976571119 7031260140 7968761492 8671887506 8789075175 9960951865 11718766900 11953142238 13007831259 17343775012 17578150350 19921903730 21679718765 23906284476 26015662518 29882855595 35156300700 39843807460 43359437530 49804759325 52031325036 59765711190 65039156295 73711043801 86718875060 99609518650 108398593825 119531422380 130078312590 147422087602 149414277975 199219037300 216797187650 221133131403 260156625180 294844175204 298828555950 325195781475 368555219005 433594375300 442266262806 597657111900 650391562950 737110438010 884532525612 1105665657015 1300783125900 1474220876020 1842776095025 2211331314030 3685552190050 4422662628060 5528328285075 7371104380100 11056656570150 22113313140300