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23002401242331 = 357313711789773
BaseRepresentation
bin1010011101011101010011…
…11101000111110011011011
310000110000012220002112100000
411032232221331013303123
511003332404204223311
6120531053544344043
74562603642345340
oct516565175076333
9100400186075300
1023002401242331
117369299914705
1226b6029775023
13cab16a445b94
145974720187c7
1529d52a2e9056
hex14eba9f47cdb

23002401242331 has 96 divisors (see below), whose sum is σ = 41747495415808. Its totient is φ = 12376431054720.

The previous prime is 23002401242321. The next prime is 23002401242339. The reversal of 23002401242331 is 13324210420032.

23002401242331 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 401 + 24 + 233 + 1 = 666.

It is not a de Polignac number, because 23002401242331 - 25 = 23002401242299 is a prime.

It is a super-2 number, since 2×230024012423312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23002401242295 and 23002401242304.

It is not an unprimeable number, because it can be changed into a prime (23002401242339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3943840 + ... + 7845933.

Almost surely, 223002401242331 is an apocalyptic number.

23002401242331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23002401242331 is a deficient number, since it is larger than the sum of its proper divisors (18745094173477).

23002401242331 is a wasteful number, since it uses less digits than its factorization.

23002401242331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789863 (or 11789851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23002401242331 its reverse (13324210420032), we get a palindrome (36326611662363).

The spelling of 23002401242331 in words is "twenty-three trillion, two billion, four hundred one million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 31 37 63 81 93 111 189 217 243 259 279 333 567 651 777 837 999 1147 1701 1953 2331 2511 2997 3441 5859 6993 7533 8029 8991 10323 17577 20979 24087 30969 52731 62937 72261 92907 216783 278721 650349 1951047 11789773 35369319 82528411 106107957 247585233 318323871 365482963 436221601 742755699 954971613 1096448889 1308664803 2228267097 2558380741 2864914839 3053551207 3289346667 3925994409 6684801291 7675142223 9160653621 9868040001 11777983227 13522869631 20054403873 23025426669 27481960863 29604120003 35333949681 40568608893 69076280007 82445882589 88812360009 94660087417 106001849043 121705826679 207228840021 247337647767 283980262251 365117480037 621686520063 742012943301 851940786753 1095352440111 2555822360259 3286057320333 7667467080777 23002401242331