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2023103142 = 234107127919
BaseRepresentation
bin111100010010110…
…0001101010100110
312012222211021210000
41320211201222212
513120403300032
6532430042130
7101064043614
oct17045415246
95188737700
102023103142
11948a97375
12485649346
132631a6068
141529906b4
15bc927e7c
hex78961aa6

2023103142 has 80 divisors (see below), whose sum is σ = 4616663040. Its totient is φ = 662083632.

The previous prime is 2023103141. The next prime is 2023103153. The reversal of 2023103142 is 2413013202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023103141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2200959 + ... + 2201877.

It is an arithmetic number, because the mean of its divisors is an integer number (57708288).

Almost surely, 22023103142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023103142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308331520).

2023103142 is an abundant number, since it is smaller than the sum of its proper divisors (2593559898).

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

2023103142 is a wasteful number, since it uses less digits than its factorization.

2023103142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

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

The square root of 2023103142 is about 44978.9188620625. The cubic root of 2023103142 is about 1264.7538444211.

Adding to 2023103142 its reverse (2413013202), we get a palindrome (4436116344).

The spelling of 2023103142 in words is "two billion, twenty-three million, one hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 127 162 214 254 321 381 642 762 919 963 1143 1838 1926 2286 2757 2889 3429 5514 5778 6858 8271 8667 10287 13589 16542 17334 20574 24813 27178 40767 49626 74439 81534 98333 116713 122301 148878 196666 233426 244602 294999 350139 366903 589998 700278 733806 884997 1050417 1100709 1769994 2100834 2201418 2654991 3151251 5309982 6302502 7964973 9453753 12488291 15929946 18907506 24976582 37464873 74929746 112394619 224789238 337183857 674367714 1011551571 2023103142