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2300001102020 = 2251947198764811
BaseRepresentation
bin100001011110000010101…
…111111010100011000100
322010212201000211212101202
4201132002233322203010
5300140400240231040
64520334513442032
7325112112540326
oct41360257724304
98125630755352
102300001102020
11807474730046
12311909870318
13138b7368a75b
147d46bbdb616
153ec65808015
hex21782bfa8c4

2300001102020 has 96 divisors (see below), whose sum is σ = 5195081041920. Its totient is φ = 852592659840.

The previous prime is 2300001102013. The next prime is 2300001102023. The reversal of 2300001102020 is 202011000032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2300001101992 and 2300001102010.

It is not an unprimeable number, because it can be changed into a prime (2300001102023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35455415 + ... + 35520225.

It is an arithmetic number, because the mean of its divisors is an integer number (54115427520).

Almost surely, 22300001102020 is an apocalyptic number.

2300001102020 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 2300001102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597540520960).

2300001102020 is an abundant number, since it is smaller than the sum of its proper divisors (2895079939900).

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

2300001102020 is a wasteful number, since it uses less digits than its factorization.

2300001102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66873 (or 66871 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2300001102020 its reverse (202011000032), we get a palindrome (2502012102052).

The spelling of 2300001102020 in words is "two trillion, three hundred billion, one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 1987 3572 3974 4465 7948 8930 9935 17860 19870 37753 39740 64811 75506 93389 129622 151012 186778 188765 259244 324055 373556 377530 466945 648110 755060 933890 1231409 1296220 1774391 1867780 2462818 3046117 3548782 4925636 6092234 6157045 7097564 8871955 12184468 12314090 15230585 17743910 24628180 30461170 35487820 57876223 60922340 115752446 128779457 231504892 257558914 289381115 515117828 578762230 643897285 1157524460 1287794570 2446809683 2575589140 4893619366 6052634479 9787238732 12105268958 12234048415 24210537916 24468096830 30263172395 48936193660 60526344790 115000055101 121052689580 230000110202 460000220404 575000275505 1150000551010 2300001102020