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123130231130052 = 223217375437653733
BaseRepresentation
bin11011111111110001111101…
…101100000000011111000100
3121010222010122111220011211200
4123333301331230000133010
5112114331203132130202
61113513125225302500
734635602624606166
oct3377617554003704
9533863574804750
10123130231130052
1136262268524493
1211987569334a30
135392191997b33
14225976bdd8936
15e37d77165e1c
hex6ffc7db007c4

123130231130052 has 72 divisors (see below), whose sum is σ = 338461319019096. Its totient is φ = 37585062595584.

The previous prime is 123130231130047. The next prime is 123130231130077. The reversal of 123130231130052 is 250031132031321.

123130231130052 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 302 + 3 + 1 + 1 + 300 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87292695419136 + 35837535710916 = 9343056^2 + 5986446^2 .

It is a super-2 number, since 2×1231302311300522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123130231129998 and 123130231130025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718804223 + ... + 2718849510.

It is an arithmetic number, because the mean of its divisors is an integer number (4700851653043).

Almost surely, 2123130231130052 is an apocalyptic number.

123130231130052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123130231130052 is an abundant number, since it is smaller than the sum of its proper divisors (215331087889044).

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

123130231130052 is a wasteful number, since it uses less digits than its factorization.

123130231130052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437653797 (or 5437653792 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 123130231130052 its reverse (250031132031321), we get a palindrome (373161363161373).

The spelling of 123130231130052 in words is "one hundred twenty-three trillion, one hundred thirty billion, two hundred thirty-one million, one hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 5437653733 10875307466 16312961199 21750614932 32625922398 48938883597 65251844796 92440113461 97877767194 184880226922 195755534388 201193188121 277320340383 369760453844 402386376242 554640680766 603579564363 804772752484 831961021149 1109281361532 1207159128726 1663922042298 1810738693089 2414318257452 3327844084596 3420284198057 3621477386178 6840568396114 7242954772356 10260852594171 13681136792228 20521705188342 30782557782513 41043410376684 61565115565026 123130231130052