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123223020032 = 29750967547
BaseRepresentation
bin111001011000010101…
…0100001001000000000
3102210001121211222210202
41302300222201020000
54004330043120112
6132335144544332
711621403250160
oct1626052411000
9383047758722
10123223020032
1148293200842
121ba6b1820a8
13b809b55b08
145d6d4045a0
153312dee6c2
hex1cb0aa1200

123223020032 has 80 divisors (see below), whose sum is σ = 281934544320. Its totient is φ = 52705333248.

The previous prime is 123223020029. The next prime is 123223020073. The reversal of 123223020032 is 230020322321.

It is a junction number, because it is equal to n+sod(n) for n = 123223019986 and 123223020013.

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, 1790483 + ... + 1858029.

It is an arithmetic number, because the mean of its divisors is an integer number (3524181804).

Almost surely, 2123223020032 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 123223020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140967272160).

123223020032 is an abundant number, since it is smaller than the sum of its proper divisors (158711524288).

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

123223020032 is an frugal number, since it uses more digits than its factorization.

123223020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68081 (or 68065 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 123223020032 its reverse (230020322321), we get a palindrome (353243342353).

The spelling of 123223020032 in words is "one hundred twenty-three billion, two hundred twenty-three million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 509 512 896 1018 1792 2036 3563 3584 4072 7126 8144 14252 16288 28504 32576 57008 65152 67547 114016 130304 135094 228032 260608 270188 456064 472829 540376 912128 945658 1080752 1824256 1891316 2161504 3782632 4323008 7565264 8646016 15130528 17292032 30261056 34381423 34584064 60522112 68762846 121044224 137525692 240669961 242088448 275051384 481339922 550102768 962679844 1100205536 1925359688 2200411072 3850719376 4400822144 7701438752 8801644288 15402877504 17603288576 30805755008 61611510016 123223020032