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2300221101120 = 263519126108613
BaseRepresentation
bin100001011110001111110…
…111001001010001000000
322010220021100210222102120
4201132033313021101000
5300141323100213440
64520412413044240
7325120423521165
oct41361767112100
98126240728376
102300221101120
11807577932688
1231196b486680
13138baa127937
147d48d10806c
153ec79cb2dd0
hex2178fdc9440

2300221101120 has 112 divisors (see below), whose sum is σ = 7687581109440. Its totient is φ = 581108484096.

The previous prime is 2300221101109. The next prime is 2300221101133. The reversal of 2300221101120 is 211011220032.

It is a super-2 number, since 2×23002211011202 (a number of 26 digits) contains 22 as substring.

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 2300221101120.

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 15 ways as a sum of consecutive naturals, for example, 63036067 + ... + 63072546.

Almost surely, 22300221101120 is an apocalyptic number.

2300221101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300221101120 is an abundant number, since it is smaller than the sum of its proper divisors (5387360008320).

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

2300221101120 is a wasteful number, since it uses less digits than its factorization.

2300221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126108652 (or 126108642 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2300221101120 its reverse (211011220032), we get a palindrome (2511232321152).

The spelling of 2300221101120 in words is "two trillion, three hundred billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 126108613 252217226 378325839 504434452 630543065 756651678 1008868904 1261086130 1513303356 1891629195 2017737808 2396063647 2522172260 3026606712 3783258390 4035475616 4792127294 5044344520 6053213424 7188190941 7566516780 8070951232 9584254588 10088689040 11980318235 12106426848 14376381882 15133033560 19168509176 20177378080 23960636470 24212853696 28752763764 30266067120 35940954705 38337018352 40354756160 47921272940 57505527528 60532134240 71881909410 76674036704 95842545880 115011055056 121064268480 143763818820 153348073408 191685091760 230022110112 287527637640 383370183520 460044220224 575055275280 766740367040 1150110550560 2300221101120