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2023202201031 = 341129613127733
BaseRepresentation
bin11101011100010000001…
…111111001110111000111
321011102020102212210020000
4131130100033321313013
5231122004230413111
64145240220412343
7266112556650024
oct35342017716707
97142212783200
102023202201031
11710042996940
1228813a3a70b3
13118a3049b5cb
146dcd017454b
1537964e2dc56
hex1d7103f9dc7

2023202201031 has 80 divisors (see below), whose sum is σ = 3416353126560. Its totient is φ = 1181960398080.

The previous prime is 2023202201029. The next prime is 2023202201107. The reversal of 2023202201031 is 1301022023202.

2023202201031 is a `hidden beast` number, since 20 + 2 + 320 + 220 + 103 + 1 = 666.

It is not a de Polignac number, because 2023202201031 - 21 = 2023202201029 is a prime.

It is a super-2 number, since 2×20232022010312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023202200995 and 2023202201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023202201021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15775441 + ... + 15903173.

It is an arithmetic number, because the mean of its divisors is an integer number (42704414082).

Almost surely, 22023202201031 is an apocalyptic number.

2023202201031 is a deficient number, since it is larger than the sum of its proper divisors (1393150925529).

2023202201031 is a wasteful number, since it uses less digits than its factorization.

2023202201031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128398 (or 128389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2023202201031 its reverse (1301022023202), we get a palindrome (3324224224233).

The spelling of 2023202201031 in words is "two trillion, twenty-three billion, two hundred two million, two hundred one thousand, thirty-one".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 613 783 891 957 1839 2349 2871 5517 6743 8613 16551 17777 20229 25839 49653 53331 60687 127733 159993 182061 195547 383199 479979 546183 586641 1149597 1405063 1439937 1759923 3448791 3704257 4215189 5279769 10346373 11112771 12645567 15839307 33338313 37936701 40746827 78300329 100014939 113810103 122240481 234900987 300044817 366721443 704702961 861303619 1100164329 2114108883 2270709541 2583910857 3300492987 6342326649 6812128623 7751732571 20436385869 23255197713 24977804951 61309157607 69765593139 74933414853 183927472821 224800244559 674400733677 2023202201031