Search a number
-
+
123130320 = 243517103293
BaseRepresentation
bin1110101011011…
…01000111010000
322120200200001020
413111231013100
5223010132240
620115035440
73023406345
oct725550720
9276620036
10123130320
116355a6a5
123529bb80
131c6819a1
14124d27cc
15ac230d0
hex756d1d0

123130320 has 160 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 30498816.

The previous prime is 123130243. The next prime is 123130327. The reversal of 123130320 is 23031321.

It is a super-2 number, since 2×1231303202 = 30322151406604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123130320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130327) 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, 420094 + ... + 420386.

Almost surely, 2123130320 is an apocalyptic number.

123130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

123130320 is an abundant number, since it is smaller than the sum of its proper divisors (286343472).

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

123130320 is a wasteful number, since it uses less digits than its factorization.

123130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123130320 is about 11096.4102303403. The cubic root of 123130320 is about 497.4945598422.

Adding to 123130320 its reverse (23031321), we get a palindrome (146161641).

The spelling of 123130320 in words is "one hundred twenty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 103 120 136 170 204 206 240 255 272 293 309 340 408 412 510 515 586 618 680 816 824 879 1020 1030 1172 1236 1360 1465 1545 1648 1751 1758 2040 2060 2344 2472 2930 3090 3502 3516 4080 4120 4395 4688 4944 4981 5253 5860 6180 7004 7032 8240 8755 8790 9962 10506 11720 12360 14008 14064 14943 17510 17580 19924 21012 23440 24720 24905 26265 28016 29886 30179 35020 35160 39848 42024 49810 52530 59772 60358 70040 70320 74715 79696 84048 90537 99620 105060 119544 120716 140080 149430 150895 181074 199240 210120 239088 241432 298860 301790 362148 398480 420240 452685 482864 513043 597720 603580 724296 905370 1026086 1195440 1207160 1448592 1539129 1810740 2052172 2414320 2565215 3078258 3621480 4104344 5130430 6156516 7242960 7695645 8208688 10260860 12313032 15391290 20521720 24626064 30782580 41043440 61565160 123130320