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123140031104 = 2767109131731
BaseRepresentation
bin111001010101110110…
…1111100001010000000
3102202211211200201101202
41302223231330022000
54004142321443404
6132323022120332
711616344665016
oct1625355741200
9382754621352
10123140031104
1148250378a52
121ba474200a8
13b7c58ba13c
145d623a08b6
15330a9aa21e
hex1cabb7c280

123140031104 has 64 divisors (see below), whose sum is σ = 251265616800. Its totient is φ = 60094172160.

The previous prime is 123140031023. The next prime is 123140031107. The reversal of 123140031104 is 401130041321.

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

It is not an unprimeable number, because it can be changed into a prime (123140031107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868919 + ... + 1000649.

Almost surely, 2123140031104 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 123140031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125632808400).

123140031104 is an abundant number, since it is smaller than the sum of its proper divisors (128125585696).

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

123140031104 is a wasteful number, since it uses less digits than its factorization.

123140031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131921 (or 131909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123140031104 its reverse (401130041321), we get a palindrome (524270072425).

The spelling of 123140031104 in words is "one hundred twenty-three billion, one hundred forty million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 67 109 128 134 218 268 436 536 872 1072 1744 2144 3488 4288 6976 7303 8576 13952 14606 29212 58424 116848 131731 233696 263462 467392 526924 934784 1053848 2107696 4215392 8430784 8825977 14358679 16861568 17651954 28717358 35303908 57434716 70607816 114869432 141215632 229738864 282431264 459477728 564862528 918955456 962031493 1129725056 1837910912 1924062986 3848125972 7696251944 15392503888 30785007776 61570015552 123140031104