Search a number
-
+
11203355424240 = 2432572222887981
BaseRepresentation
bin1010001100000111110000…
…0001010011010111110000
31110200000211002202120112200
42203001330001103113300
52432023432442033430
635454430032023200
72234262406601310
oct243017401232760
943600732676480
1011203355424240
11362a35307aaa1
12130b351091b00
1363361995c855
142aa36113d440
151466594cd460
hexa307c0535f0

11203355424240 has 120 divisors (see below), whose sum is σ = 42999545123808. Its totient is φ = 2560766952960.

The previous prime is 11203355424103. The next prime is 11203355424259. The reversal of 11203355424240 is 4242455330211.

It is a happy number.

11203355424240 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 3 + 35 + 542 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11203355424195 and 11203355424204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1111438951 + ... + 1111449030.

Almost surely, 211203355424240 is an apocalyptic number.

11203355424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11203355424240 is an abundant number, since it is smaller than the sum of its proper divisors (31796189699568).

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

11203355424240 is a wasteful number, since it uses less digits than its factorization.

11203355424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222888007 (or 2222887998 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 11203355424240 in words is "eleven trillion, two hundred three billion, three hundred fifty-five million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2222887981 4445775962 6668663943 8891551924 11114439905 13337327886 15560215867 17783103848 20005991829 22228879810 26674655772 31120431734 33343319715 35566207696 40011983658 44457759620 46680647601 53349311544 62240863468 66686639430 77801079335 80023967316 88915519240 93361295202 100029959145 106698623088 124481726936 133373278860 140041942803 155602158670 160047934632 177831038480 186722590404 200059918290 233403238005 248963453872 266746557720 280083885606 311204317340 320095869264 373445180808 400119836580 466806476010 533493115440 560167771212 622408634680 700209714015 746890361616 800239673160 933612952020 1120335542424 1244817269360 1400419428030 1600479346320 1867225904040 2240671084848 2800838856060 3734451808080 5601677712120 11203355424240