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2023103104 = 27112949547
BaseRepresentation
bin111100010010110…
…0001101010000000
312012222211021201121
41320211201222000
513120403244404
6532430042024
7101064043531
oct17045415200
95188737647
102023103104
11948a97340
12485649314
132631a6039
14152990688
15bc927e54
hex78961a80

2023103104 has 64 divisors (see below), whose sum is σ = 4548506400. Its totient is φ = 887864320.

The previous prime is 2023103029. The next prime is 2023103119. The reversal of 2023103104 is 4013013202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16059 + ... + 65605.

Almost surely, 22023103104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274253200).

2023103104 is an abundant number, since it is smaller than the sum of its proper divisors (2525403296).

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

2023103104 is a wasteful number, since it uses less digits than its factorization.

2023103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49601 (or 49589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2023103104 is about 44978.9184396424. The cubic root of 2023103104 is about 1264.7538365024.

Adding to 2023103104 its reverse (4013013202), we get a palindrome (6036116306).

The spelling of 2023103104 in words is "two billion, twenty-three million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 10208 20416 40832 49547 99094 198188 396376 545017 792752 1090034 1436863 1585504 2180068 2873726 3171008 4360136 5747452 6342016 8720272 11494904 15805493 17440544 22989808 31610986 34881088 45979616 63221972 69762176 91959232 126443944 183918464 252887888 505775776 1011551552 2023103104