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123033132030 = 23523601296687
BaseRepresentation
bin111001010010101011…
…0001001101111111110
3102202120101112200102210
41302211112021233332
54003432440211110
6132304243001250
711613606236634
oct1624526115776
9382511480383
10123033132030
11481a5aa5106
121ba17669226
13b7a96cc353
145d520d5354
1533013e1520
hex1ca5589bfe

123033132030 has 64 divisors (see below), whose sum is σ = 308631472128. Its totient is φ = 31330041600.

The previous prime is 123033132017. The next prime is 123033132031. The reversal of 123033132030 is 30231330321.

123033132030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1230331320302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123033131988 and 123033132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123033132031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266347 + ... + 563033.

It is an arithmetic number, because the mean of its divisors is an integer number (4822366752).

Almost surely, 2123033132030 is an apocalyptic number.

123033132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123033132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154315736064).

123033132030 is an abundant number, since it is smaller than the sum of its proper divisors (185598340098).

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

123033132030 is a wasteful number, since it uses less digits than its factorization.

123033132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297321.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 123033132030 its reverse (30231330321), we get a palindrome (153264462351).

The spelling of 123033132030 in words is "one hundred twenty-three billion, thirty-three million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 601 690 1202 1803 3005 3606 6010 9015 13823 18030 27646 41469 69115 82938 138230 207345 296687 414690 593374 890061 1483435 1780122 2966870 4450305 6823801 8900610 13647602 20471403 34119005 40942806 68238010 102357015 178308887 204714030 356617774 534926661 891544435 1069853322 1783088870 2674633305 4101104401 5349266610 8202208802 12303313203 20505522005 24606626406 41011044010 61516566015 123033132030