Search a number
-
+
123013212303132 = 223642185600927
BaseRepresentation
bin11011111110000100111110…
…110100100110111100011100
3121010112221121021022212000000
4123332010332310212330130
5112110422024322200012
61113343253425534300
734624261035154404
oct3376047664467434
9533487537285000
10123013212303132
1136217679440878
121196894baa4390
135384133302808
142253c2a997804
15e34cc8c85ddc
hex6fe13ed26f1c

123013212303132 has 42 divisors (see below), whose sum is σ = 322762032700128. Its totient is φ = 41004404100072.

The previous prime is 123013212303131. The next prime is 123013212303181. The reversal of 123013212303132 is 231303212310321.

123013212303132 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 321 + 2 + 303 + 1 + 32 = 666.

123013212303132 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 2×1230132123031322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123013212303096 and 123013212303105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013212303131) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21092797548 + ... + 21092803379.

It is an arithmetic number, because the mean of its divisors is an integer number (7684810302384).

Almost surely, 2123013212303132 is an apocalyptic number.

123013212303132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123013212303132 is an abundant number, since it is smaller than the sum of its proper divisors (199748820396996).

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

123013212303132 is an equidigital number, since it uses as much as digits as its factorization.

123013212303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42185600949 (or 42185600932 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123013212303132 its reverse (231303212310321), we get a palindrome (354316424613453).

The spelling of 123013212303132 in words is "one hundred twenty-three trillion, thirteen billion, two hundred twelve million, three hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 42185600927 84371201854 126556802781 168742403708 253113605562 379670408343 506227211124 759340816686 1139011225029 1518681633372 2278022450058 3417033675087 4556044900116 6834067350174 10251101025261 13668134700348 20502202050522 30753303075783 41004404101044 61506606151566 123013212303132