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2300201110020 = 22351114932334329
BaseRepresentation
bin100001011110001110101…
…010111000101000000100
322010220012222012022210110
4201132032222320220010
5300141302441010040
64520410420353020
7325120061560122
oct41361652705004
98126188168713
102300201110020
11807567619010
12311964845770
13138ba5c48598
147d48a5c2912
153ec78164980
hex2178eab8a04

2300201110020 has 96 divisors (see below), whose sum is σ = 7030777864320. Its totient is φ = 557250780160.

The previous prime is 2300201110001. The next prime is 2300201110057. The reversal of 2300201110020 is 200111020032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2300201109978 and 2300201110005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181785 + ... + 2152544.

It is an arithmetic number, because the mean of its divisors is an integer number (73237269420).

Almost surely, 22300201110020 is an apocalyptic number.

2300201110020 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 2300201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515388932160).

2300201110020 is an abundant number, since it is smaller than the sum of its proper divisors (4730576754300).

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

2300201110020 is a wasteful number, since it uses less digits than its factorization.

2300201110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335845 (or 2335843 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2300201110020 its reverse (200111020032), we get a palindrome (2500312130052).

The spelling of 2300201110020 in words is "two trillion, three hundred billion, two hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1493 2986 4479 5972 7465 8958 14930 16423 17916 22395 29860 32846 44790 49269 65692 82115 89580 98538 164230 197076 246345 328460 492690 985380 2334329 4668658 7002987 9337316 11671645 14005974 23343290 25677619 28011948 35014935 46686580 51355238 70029870 77032857 102710476 128388095 140059740 154065714 256776190 308131428 385164285 513552380 770328570 1540657140 3485153197 6970306394 10455459591 13940612788 17425765985 20910919182 34851531970 38336685167 41821838364 52277297955 69703063940 76673370334 104554595910 115010055501 153346740668 191683425835 209109191820 230020111002 383366851670 460040222004 575050277505 766733703340 1150100555010 2300201110020