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123120031311 = 321779101100853
BaseRepresentation
bin111001010101010000…
…1101001011001001111
3102202210110001121211200
41302222201221121033
54004122212000221
6132321025320543
711616012666414
oct1625241513117
9382713047750
10123120031311
11482400588a2
121ba40796153
13b7c1706b44
145d5d87610b
153308d59426
hex1caa86964f

123120031311 has 48 divisors (see below), whose sum is σ = 192574661760. Its totient is φ = 75517977600.

The previous prime is 123120031301. The next prime is 123120031337. The reversal of 123120031311 is 113130021321.

123120031311 is a `hidden beast` number, since 12 + 312 + 0 + 0 + 31 + 311 = 666.

It is not a de Polignac number, because 123120031311 - 234 = 105940162127 is a prime.

It is a super-2 number, since 2×1231200313112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123120031301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170361 + ... + 1271213.

It is an arithmetic number, because the mean of its divisors is an integer number (4011972120).

Almost surely, 2123120031311 is an apocalyptic number.

123120031311 is a deficient number, since it is larger than the sum of its proper divisors (69454630449).

123120031311 is a wasteful number, since it uses less digits than its factorization.

123120031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101056 (or 101053 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123120031311 its reverse (113130021321), we get a palindrome (236250052632).

The spelling of 123120031311 in words is "one hundred twenty-three billion, one hundred twenty million, thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 17 51 79 101 153 237 303 711 909 1343 1717 4029 5151 7979 12087 15453 23937 71811 100853 135643 302559 406929 907677 1220787 1714501 5143503 7967387 10186153 15430509 23902161 30558459 71706483 91675377 135445579 173164601 406336737 519493803 804706087 1219010211 1558481409 2414118261 7242354783 13680003479 41040010437 123120031311