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2023012230320 = 2451031271933159
BaseRepresentation
bin11101011100000100111…
…011001110010010110000
321011101202012102021101202
4131130010323032102300
5231121112112332240
64145205312550332
7266105062143404
oct35340473162260
97141665367352
102023012230320
1170aa55734054
122880a68523a8
13118a000162c3
146dcb2c43104
1537953406315
hex1d704ece4b0

2023012230320 has 80 divisors (see below), whose sum is σ = 4786566021120. Its totient is φ = 795038291712.

The previous prime is 2023012230289. The next prime is 2023012230389. The reversal of 2023012230320 is 230322103202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2023012230292 and 2023012230301.

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, 79901 + ... + 2013059.

It is an arithmetic number, because the mean of its divisors is an integer number (59832075264).

Almost surely, 22023012230320 is an apocalyptic number.

2023012230320 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 2023012230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393283010560).

2023012230320 is an abundant number, since it is smaller than the sum of its proper divisors (2763553790800).

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

2023012230320 is a wasteful number, since it uses less digits than its factorization.

2023012230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933402 (or 1933396 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2023012230320 its reverse (230322103202), we get a palindrome (2253334333522).

The spelling of 2023012230320 in words is "two trillion, twenty-three billion, twelve million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 127 206 254 412 508 515 635 824 1016 1030 1270 1648 2032 2060 2540 4120 5080 8240 10160 13081 26162 52324 65405 104648 130810 209296 261620 523240 1046480 1933159 3866318 7732636 9665795 15465272 19331590 30930544 38663180 77326360 154652720 199115377 245511193 398230754 491022386 796461508 982044772 995576885 1227555965 1592923016 1964089544 1991153770 2455111930 3185846032 3928179088 3982307540 4910223860 7964615080 9820447720 15929230160 19640895440 25287652879 50575305758 101150611516 126438264395 202301223032 252876528790 404602446064 505753057580 1011506115160 2023012230320