Search a number
-
+
2023330231032 = 23311347143315413
BaseRepresentation
bin11101011100010111111…
…000010011001011111000
321011102120100210101100220
4131130113320103023320
5231122240014343112
64145301032500040
7266116003124235
oct35342770231370
97142510711326
102023330231032
117100a9192760
1228817524a620
13118a50b774c6
146dd0318078c
15379712bd98c
hex1d717e132f8

2023330231032 has 128 divisors (see below), whose sum is σ = 5538297058560. Its totient is φ = 610897157120.

The previous prime is 2023330231031. The next prime is 2023330231037. The reversal of 2023330231032 is 2301320333202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2023330230993 and 2023330231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023330231031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131266558 + ... + 131281970.

It is an arithmetic number, because the mean of its divisors is an integer number (43267945770).

Almost surely, 22023330231032 is an apocalyptic number.

2023330231032 is a gapful number since it is divisible by the number (22) 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 2023330231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769148529280).

2023330231032 is an abundant number, since it is smaller than the sum of its proper divisors (3514966827528).

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

2023330231032 is a wasteful number, since it uses less digits than its factorization.

2023330231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17213 (or 17209 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2023330231032 its reverse (2301320333202), we get a palindrome (4324650564234).

The spelling of 2023330231032 in words is "two trillion, twenty-three billion, three hundred thirty million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 347 694 1041 1388 1433 2082 2776 2866 3817 4164 4299 5732 7634 8328 8598 11451 11464 15268 15413 15763 17196 22902 30536 30826 31526 34392 45804 46239 47289 61652 63052 91608 92478 94578 123304 126104 169543 184956 189156 339086 369912 378312 497251 508629 678172 994502 1017258 1356344 1491753 1989004 2034516 2983506 3978008 4069032 5348311 5469761 5967012 10696622 10939522 11934024 16044933 16409283 21393244 21879044 22086829 32089866 32818566 42786488 43758088 44173658 58831421 64179732 65637132 66260487 88347316 117662842 128359464 131274264 132520974 176494263 176694632 235325684 242955119 265041948 352988526 470651368 485910238 530083896 705977052 728865357 971820476 1411954104 1457730714 1943640952 2915461428 5830922856 7664129663 15328259326 22992388989 30656518652 45984777978 61313037304 84305426293 91969555956 168610852586 183939111912 252916278879 337221705172 505832557758 674443410344 1011665115516 2023330231032