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2301001100320 = 255131215790997
BaseRepresentation
bin100001011110111110010…
…110100110110000100000
322010222021201112001011211
4201132332112212300200
5300144422240202240
64521022035115504
7325145644433266
oct41367626466040
98128251461154
102301001100320
1180793815261a
12311b48742b94
13138ca28c6c20
147d524948436
153ecc34d8bea
hex217be5a6c20

2301001100320 has 96 divisors (see below), whose sum is σ = 5854823695728. Its totient is φ = 849521184768.

The previous prime is 2301001100269. The next prime is 2301001100347. The reversal of 2301001100320 is 230011001032.

It can be written as a sum of positive squares in 8 ways, for example, as 11311598736 + 2289689501584 = 106356^2 + 1513172^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2301001100320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25241062 + ... + 25332058.

Almost surely, 22301001100320 is an apocalyptic number.

2301001100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301001100320 is an abundant number, since it is smaller than the sum of its proper divisors (3553822595408).

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

2301001100320 is a wasteful number, since it uses less digits than its factorization.

2301001100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103182 (or 103174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2301001100320 its reverse (230011001032), we get a palindrome (2531012101352).

The spelling of 2301001100320 in words is "two trillion, three hundred one billion, one million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 12157 24314 48628 60785 90997 97256 121570 158041 181994 194512 243140 316082 363988 389024 454985 486280 632164 727976 790205 909970 972560 1182961 1264328 1455952 1580410 1819940 1945120 2365922 2528656 2911904 3160820 3639880 4731844 5057312 5914805 6321640 7279760 9463688 11829610 12643280 14559520 18927376 23659220 25286560 37854752 47318440 94636880 189273760 1106250529 2212501058 4425002116 5531252645 8850004232 11062505290 14381256877 17700008464 22125010580 28762513754 35400016928 44250021160 57525027508 71906284385 88500042320 115050055016 143812568770 177000084640 230100110032 287625137540 460200220064 575250275080 1150500550160 2301001100320