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123233013112 = 23113751077411
BaseRepresentation
bin111001011000101000…
…0101000110101111000
3102210002022122200201211
41302301100220311320
54004340122404422
6132340143052504
711621554220416
oct1626120506570
9383068580654
10123233013112
1148298906790
121ba725a1134
13b80bc44491
145d708862b6
153313c25577
hex1cb1428d78

123233013112 has 64 divisors (see below), whose sum is σ = 258965792640. Its totient is φ = 54483062400.

The previous prime is 123233013103. The next prime is 123233013119. The reversal of 123233013112 is 211310332321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123233013119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16624687 + ... + 16632097.

It is an arithmetic number, because the mean of its divisors is an integer number (4046340510).

Almost surely, 2123233013112 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 123233013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129482896320).

123233013112 is an abundant number, since it is smaller than the sum of its proper divisors (135732779528).

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

123233013112 is a wasteful number, since it uses less digits than its factorization.

123233013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12572 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123233013112 its reverse (211310332321), we get a palindrome (334543345433).

The spelling of 123233013112 in words is "one hundred twenty-three billion, two hundred thirty-three million, thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 5107 7411 10214 14822 20428 29644 40856 56177 59288 81521 112354 163042 188959 224708 274207 326084 377918 449416 548414 652168 755836 1096828 1511672 2078549 2193656 3016277 4157098 6032554 8314196 12065108 16628392 24130216 37847977 75695954 151391908 302783816 416327747 832655494 1400375149 1665310988 2800750298 3330621976 5601500596 11203001192 15404126639 30808253278 61616506556 123233013112