Search a number
-
+
2023203021534 = 2331131357724421
BaseRepresentation
bin11101011100010000010…
…011000010001011011110
321011102020111102110202000
4131130100103002023132
5231122004433142114
64145240250143130
7266112566635122
oct35342023021336
97142214373660
102023203021534
117100433a7342
1228813a721aa6
13118a306c7c06
146dcd0309582
1537965041e09
hex1d7104c22de

2023203021534 has 64 divisors (see below), whose sum is σ = 4536314210880. Its totient is φ = 668356254720.

The previous prime is 2023203021533. The next prime is 2023203021547. The reversal of 2023203021534 is 4351203023202.

2023203021534 is a `hidden beast` number, since 2 + 0 + 2 + 320 + 302 + 1 + 5 + 34 = 666.

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 = 2023203021498 and 2023203021507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023203021533) 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 31 ways as a sum of consecutive naturals, for example, 82834644 + ... + 82859064.

It is an arithmetic number, because the mean of its divisors is an integer number (70879909545).

Almost surely, 22023203021534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023203021534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268157105440).

2023203021534 is an abundant number, since it is smaller than the sum of its proper divisors (2513111189346).

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

2023203021534 is a wasteful number, since it uses less digits than its factorization.

2023203021534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38122 (or 38116 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 2023203021534 its reverse (4351203023202), we get a palindrome (6374406044736).

The spelling of 2023203021534 in words is "two trillion, twenty-three billion, two hundred three million, twenty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 13577 24421 27154 40731 48842 73263 81462 122193 146526 219789 244386 366579 439578 659367 733158 1318734 1534201 2759573 3068402 4602603 5519146 8278719 9205206 13807809 16557438 24836157 27615618 41423427 49672314 74508471 82846854 149016942 331563917 663127834 994691751 1989383502 2984075253 5968150506 8952225759 17904451518 37466722621 74933445242 112400167863 224800335726 337200503589 674401007178 1011601510767 2023203021534