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2023010031 = 372139181547
BaseRepresentation
bin111100010010100…
…1010111011101111
312012222122120001110
41320211022323233
513120342310111
6532424043103
7101063205300
oct17045127357
95188576043
102023010031
11948a33419
12485603493
13263172873
141529687a7
15bc90a5a6
hex7894aeef

2023010031 has 48 divisors (see below), whose sum is σ = 3183573120. Its totient is φ = 1139261760.

The previous prime is 2023010021. The next prime is 2023010107. The reversal of 2023010031 is 1300103202.

It is a happy number.

It is not a de Polignac number, because 2023010031 - 25 = 2023009999 is a prime.

It is a super-2 number, since 2×20230100312 = 8185139171053241922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023009989 and 2023010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3698100 + ... + 3698646.

It is an arithmetic number, because the mean of its divisors is an integer number (66324440).

Almost surely, 22023010031 is an apocalyptic number.

2023010031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2023010031 is a deficient number, since it is larger than the sum of its proper divisors (1160563089).

2023010031 is a wasteful number, since it uses less digits than its factorization.

2023010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2023010031 is about 44977.8837985959. The cubic root of 2023010031 is about 1264.7344411754.

Adding to 2023010031 its reverse (1300103202), we get a palindrome (3323113233).

The spelling of 2023010031 in words is "two billion, twenty-three million, ten thousand, thirty-one".

Divisors: 1 3 7 21 49 139 147 181 417 543 547 973 1267 1641 2919 3801 3829 6811 8869 11487 20433 25159 26607 26803 75477 76033 80409 99007 176113 228099 297021 528339 532231 693049 1232791 1596693 2079147 3698373 3725617 4851343 11176851 13761973 14554029 41285919 96333811 289001433 674336677 2023010031