Search a number
-
+
123130113310032 = 24329312128342051
BaseRepresentation
bin11011111111110001110110…
…101010100011110101010000
3121010222010100022012022011020
4123333301312222203311100
5112114330433001410112
61113513105420115440
734635566664264453
oct3377616652436520
9533863308168136
10123130113310032
1136262207a71574
1211987535995b80
13539217345524a
14225975a4c949a
15e37d6bb4148c
hex6ffc76aa3d50

123130113310032 has 80 divisors (see below), whose sum is σ = 329160057199680. Its totient is φ = 39615383808000.

The previous prime is 123130113309997. The next prime is 123130113310067. The reversal of 123130113310032 is 230013311031321.

It is an interprime number because it is at equal distance from previous prime (123130113309997) and next prime (123130113310067).

It is a super-2 number, since 2×1231301133100322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123130113309984 and 123130113310011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9826594 + ... + 18515457.

It is an arithmetic number, because the mean of its divisors is an integer number (4114500714996).

Almost surely, 2123130113310032 is an apocalyptic number.

123130113310032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123130113310032 is an abundant number, since it is smaller than the sum of its proper divisors (206029943889648).

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

123130113310032 is a wasteful number, since it uses less digits than its factorization.

123130113310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28345212 (or 28345206 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 123130113310032 its reverse (230013311031321), we get a palindrome (353143424341353).

The spelling of 123130113310032 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred thirteen million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 3121 6242 9363 12484 18726 24968 37452 49936 74904 90509 149808 181018 271527 362036 543054 724072 1086108 1448144 2172216 4344432 28342051 56684102 85026153 113368204 170052306 226736408 340104612 453472816 680209224 821919479 1360418448 1643838958 2465758437 3287677916 4931516874 6575355832 9863033748 13150711664 19726067496 39452134992 88455541171 176911082342 265366623513 353822164684 530733247026 707644329368 1061466494052 1415288658736 2122932988104 2565210693959 4245865976208 5130421387918 7695632081877 10260842775836 15391264163754 20521685551672 30782528327508 41043371103344 61565056655016 123130113310032