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2201011201120 = 255791511153183
BaseRepresentation
bin100000000001110110011…
…111011010010001100000
321210102012020212212121211
4200001312133122101200
5242030132331413440
64403044112355504
7315006052344214
oct40016637322140
97712166785554
102201011201120
11779497496396
122b66a2245b94
1312c729212bb4
147875ad96944
153c3c00e6eea
hex200767da460

2201011201120 has 96 divisors (see below), whose sum is σ = 5300587192320. Its totient is φ = 863502681600.

The previous prime is 2201011201001. The next prime is 2201011201121. The reversal of 2201011201120 is 211021101022.

It is a self number, because there is not a number n which added to its sum of digits gives 2201011201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201011201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332049 + ... + 2485231.

It is an arithmetic number, because the mean of its divisors is an integer number (55214449920).

Almost surely, 22201011201120 is an apocalyptic number.

2201011201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201011201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650293596160).

2201011201120 is an abundant number, since it is smaller than the sum of its proper divisors (3099575991200).

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

2201011201120 is a wasteful number, since it uses less digits than its factorization.

2201011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153428 (or 1153420 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2201011201120 its reverse (211021101022), we get a palindrome (2412032302142).

The spelling of 2201011201120 in words is "two trillion, two hundred one billion, eleven million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 151 158 160 302 316 395 604 632 755 790 1208 1264 1510 1580 2416 2528 3020 3160 4832 6040 6320 11929 12080 12640 23858 24160 47716 59645 95432 119290 190864 238580 381728 477160 954320 1153183 1908640 2306366 4612732 5765915 9225464 11531830 18450928 23063660 36901856 46127320 91101457 92254640 174130633 182202914 184509280 348261266 364405828 455507285 696522532 728811656 870653165 911014570 1393045064 1457623312 1741306330 1822029140 2786090128 2915246624 3482612660 3644058280 5572180256 6965225320 7288116560 13756320007 13930450640 14576233120 27512640014 27860901280 55025280028 68781600035 110050560056 137563200070 220101120112 275126400140 440202240224 550252800280 1100505600560 2201011201120