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2023020221313 = 3713174321614691
BaseRepresentation
bin11101011100000101011…
…001101101001110000001
321011101202202110020222110
4131130011121231032001
5231121121134040223
64145210200125533
7266105220104640
oct35340531551601
97141682406873
102023020221313
1170aa5a1a1883
122880a94668a9
13118a018835c0
146dcb3d23357
1537953e83d93
hex1d70566d381

2023020221313 has 128 divisors (see below), whose sum is σ = 3599290404864. Its totient is φ = 980298547200.

The previous prime is 2023020221267. The next prime is 2023020221317. The reversal of 2023020221313 is 3131220203202.

It is a happy number.

It is not a de Polignac number, because 2023020221313 - 214 = 2023020204929 is a prime.

It is a super-3 number, since 3×20230202213133 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2023020221313.

It is not an unprimeable number, because it can be changed into a prime (2023020221317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431253298 + ... + 431257988.

It is an arithmetic number, because the mean of its divisors is an integer number (28119456288).

Almost surely, 22023020221313 is an apocalyptic number.

It is an amenable number.

2023020221313 is a deficient number, since it is larger than the sum of its proper divisors (1576270183551).

2023020221313 is a wasteful number, since it uses less digits than its factorization.

2023020221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2023020221313 its reverse (3131220203202), we get a palindrome (5154240424515).

The spelling of 2023020221313 in words is "two trillion, twenty-three billion, twenty million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 13 17 21 39 43 51 91 119 129 221 273 301 357 559 663 731 903 1547 1677 2161 2193 3913 4641 4691 5117 6483 9503 11739 14073 15127 15351 28093 28509 32837 36737 45381 60983 66521 79747 84279 92923 98511 110211 182949 196651 199563 201713 239241 257159 278769 426881 477581 558229 589953 605139 650461 771477 1036711 1207999 1280643 1411991 1432743 1579691 1674687 1951383 2622269 3110133 3343067 3429121 3623997 4235973 4739073 7256977 7866807 8455993 10029201 10137251 10287363 11057837 18355883 20535983 21770931 24003847 25367979 30411753 33173511 44578573 55067649 61607949 70960757 72011541 131784263 133735719 143751881 172333267 212882271 312050011 395352789 431255643 435901793 516999801 922489841 936150033 1206332869 1307705379 2240332471 2767469523 3051312551 3618998607 5666723309 6720997413 7410330481 9153937653 15682327297 17000169927 22230991443 39667063163 47046981891 51872313367 96334296253 119001189489 155616940101 289002888759 674340073771 2023020221313