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2023123032 = 233274014133
BaseRepresentation
bin111100010010110…
…0110100001011000
312012222212022001200
41320211212201120
513120404414112
6532430314200
7101064155610
oct17045464130
95188768050
102023123032
11949000307
12485658960
132631b2128
14152997a40
15bc92dcdc
hex78966858

2023123032 has 48 divisors (see below), whose sum is σ = 6262049040. Its totient is φ = 578035008.

The previous prime is 2023123031. The next prime is 2023123093. The reversal of 2023123032 is 2303213202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2023122996 and 2023123014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023123031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2006563 + ... + 2007570.

It is an arithmetic number, because the mean of its divisors is an integer number (130459355).

Almost surely, 22023123032 is an apocalyptic number.

It is an amenable number.

2023123032 is an abundant number, since it is smaller than the sum of its proper divisors (4238926008).

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

2023123032 is a wasteful number, since it uses less digits than its factorization.

2023123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014152 (or 4014145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2023123032 is about 44979.1399650994. The cubic root of 2023123032 is about 1264.7579891878.

Adding to 2023123032 its reverse (2303213202), we get a palindrome (4326336234).

The spelling of 2023123032 in words is "two billion, twenty-three million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4014133 8028266 12042399 16056532 24084798 28098931 32113064 36127197 48169596 56197862 72254394 84296793 96339192 112395724 144508788 168593586 224791448 252890379 289017576 337187172 505780758 674374344 1011561516 2023123032