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23300201204020 = 225131913071528321
BaseRepresentation
bin1010100110001000000000…
…01101110100100100110100
310001111110220002021000212201
411103010000031310210310
511023222303002012040
6121315544211154244
74623245464302106
oct523040015644464
9101443802230781
1023300201204020
117473618165624
12274389a2a5984
13100027952b870
145a7a42cad576
152a615977ea9a
hex153100374934

23300201204020 has 96 divisors (see below), whose sum is σ = 53142763677696. Its totient is φ = 8530226380800.

The previous prime is 23300201204017. The next prime is 23300201204107. The reversal of 23300201204020 is 2040210200332.

It is a super-2 number, since 2×233002012040202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14481460 + ... + 16009780.

It is an arithmetic number, because the mean of its divisors is an integer number (553570454976).

Almost surely, 223300201204020 is an apocalyptic number.

23300201204020 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 23300201204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26571381838848).

23300201204020 is an abundant number, since it is smaller than the sum of its proper divisors (29842562473676).

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

23300201204020 is a wasteful number, since it uses less digits than its factorization.

23300201204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528841 (or 1528839 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23300201204020 its reverse (2040210200332), we get a palindrome (25340411404352).

The spelling of 23300201204020 in words is "twenty-three trillion, three hundred billion, two hundred one million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 191 260 307 382 614 764 955 1228 1535 1910 2483 3070 3820 3991 4966 6140 7982 9932 12415 15964 19955 24830 39910 49660 58637 79820 117274 234548 293185 586370 762281 1172740 1524562 1528321 3049124 3056642 3811405 6113284 7622810 7641605 15245620 15283210 19868173 30566420 39736346 79472692 99340865 198681730 291909311 397363460 469194547 583818622 938389094 1167637244 1459546555 1876778188 2345972735 2919093110 3794821043 4691945470 5838186220 6099529111 7589642086 9383890940 12199058222 15179284172 18974105215 24398116444 30497645555 37948210430 60995291110 75896420860 89616158477 121990582220 179232316954 358464633908 448080792385 896161584770 1165010060201 1792323169540 2330020120402 4660040240804 5825050301005 11650100602010 23300201204020